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| Personal data: |
Last name: Demidenko
First name: Gennadii
Middle name: Vladimirovich
Data of birth: September 7, 1955 (Novosibirsk region, Russia)
Languages: Russian (native), English
| Education and degrees: |
1973-1977 - Department of Mathematics, Novosibirsk State University (Novosibirsk).
1977 - Diploma (M. Sc.), Novosibirsk State University (Novosibirsk).
1977-1978 - Probationer-researcher, Novosibirsk State University (Novosibirsk).
1978-1981 - Postgraduate, Novosibirsk State University (Novosibirsk).
1981 - Candidate of Physical and Mathematical Sciences (Ph. D.), Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk), Ph. D. Thesis "General Mixed Problems for Equations not Solved with respect to the Highest Derivative with Variable Coefficients", Ph. D. Advisor: Professor Stanislav V. Uspenskii.
1993 - Doctor of Physical and Mathematical Sciences (D. Sc.), Steklov Institute of Mathematics (Moscow), D. Sc. Thesis "Integral Operators Defined by Quasielliptic Equations and Equations of Composite Type".
| Experience in scientific institutes: |
1982-1986 - Junior Scientific Researcher, Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).
1986-1988 - Scientific Researcher, Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).
1988-1993 - Senior Scientific Researcher, Institute of Mathematics of the Siberian Branch of the USSR Academy of Sciences (Novosibirsk).
1993-2000 - Leading Scientific Researcher, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).
2000-2005 - Leading Scientific Researcher, Head of the scientific collective "Boundary value problems for differential equations", Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).
2005-2016 - Head of the Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).
2016-2021 - Deputy Director for Science, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).
2021-present - Principal Scientific Researcher, Head of the Laboratory of Differential and Difference Equations, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).
| Teaching experience: |
1983-1984 - Assistant Lecturer, Novosibirsk State University (Novosibirsk). ("Ordinary Differential Equations")
1984-1987 - Assistant Professor, Novosibirsk State University (Novosibirsk). ("Ordinary Differential Equations", "Embedding Theorems and Applications to Problems of Mathematical Physics")
1987-1994 - Associate Professor, Novosibirsk State University (Novosibirsk). ("Ordinary Differential Equations", "Partial Differential Equations and Equations of Mathematical Physics", "Cauchy Problem for Parabolic and Hyperbolic Equations", "Equations of Mathematical Physics - II", "Boundary Value Problems for Partial Differential Equations")
1994-present - Full Professor, Novosibirsk State University (Novosibirsk). ("Ordinary Differential Equations", "Partial Differential Equations and Equations of Mathematical Physics", "Embedding Theorems and Applications to Equations of Mathematical Physics")
| Other academic activities: |
2000-2004 - Member, Editorial Board, Selcuk Journal of Applied Mathematics
2004-present - Member, Editorial Board, Siberian Mathematical Journal
2005-present - Member, Editorial Board, Journal of Analysis and Applications
2007-present - Member, Editorial Board, International Journal of Dynamical Systems and Differential Equations
2014-present - Member, Editorial Board, Siberian Advances in Mathematics
2020-present - Member, Editorial Board, Mathematics
| Research interests: |
Partial differential equations, ordinary differential equations, difference equations, delay equations, mathematical analysis, computational mathematics
| Participation in scientific projects, grants and awards: |
Project "Elaboration of New Statements of Applied Problems of Linear Algebra that Admit Unconditional Possibility for Application of Algorithms with Guaranteed Accuracy of Result", supported by the Russian Foundation for Basic Research (RFBR), no. 93-01-01515 (1993-1995)
Project "The Theory of Mixed Boundary Value Problems for Linear Equations not Solved with respect to the Highest Derivative, and Qualitative Research of Solutions in Bounded and Unbounded Domains", supported by RFBR, no. 95-01-01176 (1995-1997)
Project "Mathematics in Applications (Problems of Differential Equations and Numerical Linear Algebra)" in the framework of the program "Leading Scientific Schools in Russia", supported by RFBR, no. 96-15-96290 (1996-1998)
State Scientific Scholarship (1997-2000)
Project "The Embeddings Theory of Functional Sobolev-Wiener Spaces, Correct Statements and Qualitative Research of General Mixed Boundary Value Problems for Linear Equations and Systems of Sobolev Type", supported by RFBR, no. 98-01-00553 (1998-2000)
Project "Boundary Value Problems for Systems not of Cauchy-Kovalevskaya Type", supported by the Ministry of Education of the Russian Federation (1998-2000; head)
Project "Weighted Sobolev Spaces and Quasielliptic Operators", supported by RFBR, no. 99-01-00533 (1999-2001; head)
Soros Professor (2000)
Project "The Embedding Theory of Generalized Functional Sobolev-Wiener Spaces, Qualitative Research of Functions in Unbounded domains, Correct Statements of General Mixed Boundary Value Problems for Equations and Systems not Solved with respect to the Highest Derivative", supported by RFBR, no. 01-01-00609 (2001-2003)
Project "Weighted Spaces of Summable Functions, Quasi-Elliptic Operators and Applications to Differential Equations", supported by RFBR, no. 03-01-00095 (2003-2005; head)
Complex integration project no. 1 "Elaboration of a Treelike Catalogue of Mathematical Internet Resources", supported by the Siberian Branch of the Russian Academy of Sciences (2003-2005)
Interdisciplinary integration project no. 119 "Gene Networks: Theoretical Analysis, Computer Modelling and Experimental Designing", supported by the Siberian Branch of the Russian Academy of Sciences (2003-2005)
Project "The Embedding Theory of Generalized Functional Sobolev Spaces. Qualitative Research of Correct Statements of Initial-Boundary Value Problems for Differential Equations and Systems not Solved with Respect to the Highest Derivative", supported by RFBR, no. 04-01-00750 (2004-2006)
Project "Limit Theorems in the Gene Networks Theory", supported by RFBR, no. 04-01-00458 (2004-2006)
Project "Algorithms for Research of Stability of Solutions and Solvability of Boundary Value Problems for Quasilinear Systems of Differential Equations with Periodic Coefficients", supported by the Ministry of Education and Science of the Russian Federation, Program "Development of Scientific Potential of the Higher School", no. 8273 (2005; head)
Complex integration project no. 2.2 "Deformation and Failure of Composite Materials and Structures", supported by the Siberian Branch of the Russian Academy of Sciences (2006-2008)
Project "The Embedding Theory of Generalized Functional Sobolev Spaces. Applications to Differential Equations", supported by RFBR, no. 07-01-00289 (2007-2009)
Project no. 85 "Qualitative and Numerical Analysis of Evolution Equations and Controllable Systems", supported by the Siberian Branch of the Russian Academy of Sciences (2009-2011)
Interdisciplinary integration project no. 107 "Methods of Research of Differential-Difference Equations and Applications to Problems of Biology and Chemistry", supported by the Siberian Branch of the Russian Academy of Sciences (2009-2011; head)
Project "Fundamental Problems of Contemporary Mathematics", supported by the Ministry of Education and Science of the Russian Federation, Federal Target Program "Scientific and Educational Personnel of Innovative Russia'' for 2009-2013, government contract no. 02.740.11.0429 (2009-2011)
Project "Numerical Methods for Solving Direct and Inverse Problems for Differential, Difference and Delay Equations", supported by RFBR, no. 10-01-00035 (2010-2012; head)
Project "Direct and Inverse Problems for Differential Equations", supported by the Ministry of Education and Science of the Russian Federation, Federal Target Program "Scientific and Educational Personnel of Innovative Russia'' for 2009-2013, government contract no. 16.740.11.0127 (2010-2012; head)
Interdisciplinary integration project no. 80 "Differential-Difference and Integro-Differential Equations. Applications to Problems of the Natural Sciences", supported by the Siberian Branch of the Russian Academy of Sciences (2012-2014; head)
Project "Algorithms and Numerical Methods for Solving Direct and Inverse Problems for Differential-Difference Equations", supported by RFBR, no. 13-01-00329 (2013-2015; head)
Project "Theoretical and Numerical Methods for Study of Stability, Optimal Control and Identification for Some Classes of Differential-Difference Equations", supported by RFBR, no. 16-01-00592 (2016-2018; head)
Project "Systems of differential equations of high dimension and delay equations. Theory and applications", supported by RFBR, no. 18-29-10086 (2018-2022; head)
Project "Theoretical and numerical methods for solving problems of stability, identification, and control for difference equations", supported by RFBR, no. 19-01-00754 (2019-2022; head)
Project "Stability of solutions to differential equations with distributed delay", supported by RFBR, no. 19-31-90149 (2019-2022; head)
| Selected publications: |
Books:
1. Embedding Theorems and Applications to Differential Equations. Nauka, Novosibirsk, 1984, 223 p. (jointly with S.V. Uspenskii, V.G. Perepelkin; Russian)
2. Introduction to the Theory of Sobolev Spaces. Textbook. Publishing office of the Novosibirsk State University, Novosibirsk, 1995, 111 p. (Russian)
3. Partial Differential Equations and Systems not Solvable with Respect to the Highest-Order Derivative. Nauchnaya Kniga, Novosibirsk, 1998, 456 p. (Russian); Marcel Dekker, New York, Basel, 2003, 490 p. (English). (jointly with S.V. Uspenskii)
4. Matrix Equations. Textbook. Publishing office of the Novosibirsk State University, Novosibirsk, 2009, 203 p. (Russian)
5. Ordinary Differential Equations in Problems. Textbook. Publishing office of the Novosibirsk State University, Novosibirsk, 2014, 192 p. (jointly with I.I. Matveeva; Russian)
6. Sobolev Spaces and Generalized Solutions. Publishing office of the Novosibirsk State University, Novosibirsk, 2015, 270 p. (Russian)
Articles:
1. Differential properties of the solutions of general boundary value problems for equations of Sobolev type. In: Mathematical Analysis and Related Mathematical Questions, Nauka, Sibirsk. Otdel., Novosibirsk, 1978, pp. 276-296. (jointly with S.V. Uspenskii; Russian)
2. On mixed boundary value problems for equations of Sobolev type with variable coefficients. In: Partial Differential Equations, Trudy Sem. S.L.Soboleva, no. 2, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1979, pp. 52-91. (Russian)
3. Mixed boundary value problems for equations of Sobolev type. In: Partial Differential Equations, Proc. Conf., Nauka, Sibirsk. Otdel., Novosibirsk, 1980, pp. 32-34. (Russian)
4. Mixed boundary value problems for one class of equations not solved with respect to highest derivative. Dokl. Akad. Nauk SSSR, 252 (1980), no. 3, pp. 560-562; English transl. in Sov. Math. Dokl., 21 (1980), pp. 801-804. (jointly with S.V. Uspenskii)
5. On mixed boundary value problems for a class of equations not solved with respect to highest derivative. Trudy Sem. S.L.Soboleva, no. 2, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1980, pp. 92-115. (jointly with S.V. Uspenskii; Russian)
6. On mixed boundary-value problems for Sobolev equations. Sib. Mat. Zh., 22 (1981), no. 3, pp. 53-66; English transl. in Sib. Math. J., 22 (1982), pp. 370-380.
7. Mixed problems for a class of equations of Sobolev type. Trudy Sem. S.L.Soboleva, no.1, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1982, pp. 44-74.
8. Behavior as $t \to \infty$ of solutions of a problem of S.L. Sobolev. In: Application of Methods of the Theory of Functions and Functional Analysis to Problems of Mathematical Physics, Erevan State University Publishers, 1982, 5 p. (jointly with S.V. Uspenskii; Russian)
9. Behavior of solutions of a problem of S.L. Sobolev at infinity. Sib. Mat. Zh., 24 (1983), no. 5, pp. 199-210; English transl. in Sib. Math. J., 24 (1983), no. 5, pp. 809-818. (jointly with S.V. Uspenskii)
10. Mixed problems for generalized Sobolev equations. Uspekhi Mat. Nauk, 38 (1983), iss. 5, pp. 147-148. (Russian)
11. Estimates for $t \to \infty$ of the solution to a problem of Sobolev. Sib. Mat. Zh., 25 (1984), no. 2, pp.112-120; English transl. in Sib. Math. J., 25 (1984), no. 2, pp. 257-264.
12. Lp-estimates of solutions of boundary value problems for Sobolev type equations. Uspekhi Mat. Nauk, 39 (1984), iss. 4, p. 125. (Russian)
13. On conditions for the solvability of mixed problems for a class of equations of Sobolev type. In: Boundary Value Problems for Partial Differential Equations, Trudy Sem. S.L.Soboleva, no. 1, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1984, pp. 23-54. (Russian)
14. The Cauchy problem for generalized S.L.Sobolev equations. In: Functional Analysis and Mathematical Physics, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1985, pp. 88-105. (Russian)
15. The behavior as $t \to \infty$ of solutions of certain problems of hydrodynamics. Dokl. Akad. Nauk SSSR, 280 (1985), no. 5, pp. 1072-1074; English transl. in Sov. Math. Dokl., 31 (1985), pp. 218-220. (jointly with S.V. Uspenskii)
16. Boundary value problems for equations and systems of Sobolev type. In: Partial Differential Equations, Proc. Conf., Nauka, Sibirsk. Otdel., Novosibirsk, 1986, pp. 72-84. (jointly with S.V. Uspenskii, V.G. Perepelkin, S.I. Yanov; Russian)
17. The Cauchy problem for equations and systems of Sobolev type. In: Boundary Value Problems for Partial Differential Equations, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1986, pp. 69-84. (Russian)
18. Necessary conditions for well-posedness of a Cauchy problem for the linearized Navier-Stokes system of equations. Sib. Mat. Zh., 29 (1988), no. 3, pp.186-189; English transl. in Sib. Math. J., 29 (1988), no. 3, pp. 485-488.
19. Correct solvability of boundary value problems in a halfspace for quasielliptic equations. Sib. Mat. Zh., 29 (1988), no. 4, pp. 54-67; English transl. in Sib. Math. J., 29 (1988), no. 4, pp. 555-567.
20. Conditions for the correct solvability of boundary value problems for equations and systems of Sobolev type. In: Some Applications of Functional Analysis to Problems of Mathematical Physics, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1988, pp. 64-71. (Russian)
21. A certain class of boundary value problems for the Sobolev system. In: Partial Differential Equations, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1989, pp. 54-78. (jointly with I.I. Matveeva; Russian)
22. Boundary value problems for a class of pseudodifferential equations. In: Embedding Theorems and Their Applications to Problems of Mathematical Physics, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1989, pp. 60-69. (Russian)
23. The Cauchy problem for a hyperbolic system of the dynamics of a stratified fluid. In: Boundary Value Problems for Partial Differential Equations, Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1990, pp. 56-76. (Russian)
24. Lp-theory of boundary value problems for equations of Sobolev type. Preprint, Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 1991, no. 16, 38 p. (Russian)
25. Lp-estimates of solutions of quasielliptic equations in Rn. Preprint, Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 1992, no. 4, 30 p. (Russian)
26. Integral operators defined by boundary value problems for quasielliptic equations. Dokl. Akad. Nauk, 326 (1992), no. 5, pp. 765-769; English transl. in Russian Acad. Sci. Dokl. Math., 46 (1993), no. 2, pp. 343-348.
27. Lp-theory of boundary value problems for Sobolev type equations. In: Partial Differential Equations, Banach Center Publications, Polish Academy of Sciences, Warsaw, 27 (1992), part I, pp. 101-109.
28 To question about determination of matrices whose spectrums lie on the imaginary axis. Preprint, Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 1993, no. 12, 34 p. (Russian)
29. Integral operators determined by quasielliptic equations. I. Sib. Mat. Zh., 34 (1993), no. 6, pp. 52-67; English transl. in Sib. Math. J., 34 (1993), no. 6, pp. 1044-1058.
30. Integral operators determined by quasielliptic equations. II. Sib. Mat. Zh., 35 (1994), no. 1, pp. 41-65; English transl. in Sib. Math. J., 35 (1994), no. 1, pp. 37-61.
31. Weighted Sobolev spaces and integral operators defined by quasielliptic equations. Dokl. Acad. Nauk, 1994, v. 334, no. 4, pp. 420-423; English transl. in Russian Acad. Sci. Dokl. Math., 49 (1994), no. 1, pp. 113-118.
32. On a class of integral operators and applications to quasielliptic equations. I. Differ. Uravn., 30 (1994), no. 5, pp. 889-898; English transl. in Differ. Equations, 30 (1994), no. 5, pp. 821-830.
33. On a class of integral operators and applications to quasielliptic equations. II. Differ. Uravn., 30 (1994), no.10, pp. 1731-1737; English transl. in Differ. Equations, 30 (1994), no. 10, pp. 1599-1605.
34. On a certain class of spectral characteristics of matrices. Sib. Mat. Zh., 35 (1994), no. 5, pp. 1032-1051; English transl. in Sib. Math. J., 35 (1994), no. 5, pp. 917-935.
35. On properties of a class of spectral characteristics of matrices and applications to ordinary differential equations. INRIA report, France, 1994, no. 2270, 43 p. (jointly with I.I. Matveeva)
36. Lp-theory of boundary value problems for equations of Sobolev type. Sib. J. Diff. Equations, 1 (1995), no. 1, pp. 15-52.
37. On quasielliptic equations in unbounded domains. Sib. J. Diff. Equations, 1 (1995), no. 4, pp. 21-81.
38. Boundary value problems for non-Cauchy-Kovalevskaya-type systems in a quarter-space. Sib. Adv. Math., 5 (1995), no. 3, pp. 5-39. (jointly with I.I. Matveeva)
39. Integral criteria for the matrix spectrum to belong to convex sets. Preprint, Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 1995, no. 17, 23 p. (jointly with I.I. Matveeva)
40. Integral representations for solutions of a class of systems not of Cauchy-Kovalevskaya type. Preprint, Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 1996, no. 30, 19 p. (Russian)
41. On regularity of solutions to boundary value problems for quasielliptic equations. Sib. Adv. Math., 6 (1996), no. 2, pp. 10-34. (jointly with I.Yu. Nekhaev)
42. The Cauchy problem for pseudoparabolic systems. Sib. Mat. Zh., 38 (1997), no. 6, pp. 1251-1266; English transl. in Sib. Math. J., 38 (1997), no. 6, pp. 1084-1098.
43. Approximate constructing projections onto invariant subspaces of matrices. Computing Technologies, 2 (1997), no. 6, pp. 24-30. (jointly with I.I. Matveeva; Russian)
44. On a method of constructing projections onto invariant subspaces of matrices. Sib. Zh. Ind. Mat., 1 (1998), no. 1, pp. 104-113. (Russian)
45. On mixed boundary value problems for a class of systems not of Cauchy-Kovalevskaya type. Differ. Uravn., 34 (1998), no. 3, pp. 348-358; English transl. in Differ. Equations, 34 (1998), no. 3, pp. 347-357. (jointly with S.I. Yanov)
46. On a functional approach to constructing projections onto invariant subspaces of matrices. Sib. Mat. Zh., 39 (1998), no. 4, pp. 796-813; English transl. in Sib. Math. J., 39 (1998), no. 4, pp. 683-699.
47. On quasielliptic operators in Rn. Sib. Mat. Zh., 39 (1998), no. 5, pp. 1028-1037; English transl. in Sib. Math. J., 39 (1998), no. 5, pp. 884-893.
48. Isomorphic properties of quasielliptic operators. Dokl. Akad. Nauk, 364 (1999), no. 6, pp. 730-734; English transl. in Russ. Acad. Sci., Dokl. Math., 59 (1999), no. 1, pp. 102-106.
49. Numeric characteristics for asymptotic stability of solutions to linear difference equations with periodic coefficients. Sib. Mat. Zh., 41 (2000), no. 6, pp. 1227-1237; English transl. in Sib. Math. J., 41 (2000), no. 6, pp. 1005-1014. (jointly with K. Aydin, H. Bugak)
50. A new criterion of the inclusion of a matrix spectrum into the closed unit circle and applications to the stability theory. Sib. Zh. Ind. Mat., 3 (2000), no. 1, pp. 47-56. (jointly with A.Ya. Bulgakov; Russian)
51. The Cauchy problem for pseudohyperbolic equations. Selcuk J. Appl. Math., 1 (2000), no. 1, pp. 47-62.
52. On solvability of Cauchy problem for pseudohyperbolic equations. Proc. on Analysis and Geometry. Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 2000, pp. 156-172. (Russian)
53. On stability of solutions to linear systems with periodic coefficients. Sib. Mat. Zh., 42 (2001), no. 2, pp. 332-348; English transl. in Sib. Math. J. 42 (2001), no. 2, pp. 282-296. (jointly with I.I. Matveeva)
54. A modification of the matrix sign function method. Selcuk J. Appl. Math., 2 (2001), no. 1, pp. 47-58. (jointly with Yu.Yu. Klevtsova)55. On constructing approximate projections onto invariant subspaces of linear operators. Int. J. Differ. Equations Appl., 3 (2001), no. 2, pp. 135-146.
56. Isomorphic properties of one class of differential operators and their applications. Sib. Mat. Zh., 42 (2001), no. 5, pp. 1036-1056; English transl. in Sib. Math. J. 42 (2001), no. 5, pp. 865-883.
57. Continuity of numeric characteristics for asymptotic stability of solutions to linear difference equations with periodic coefficients. Selcuk J. Appl. Math., 2 (2001), no. 2, pp. 5-10. (jointly with K. Aydin, H. Bulgak)
58. On a fuctional approach to spectral problems of linear algebra. Selcuk J. Appl. Math., 2 (2001), no. 2, pp. 39-52.
59. Asymptotic stability of solutions to perturbed linear difference equations with periodic coefficients. Sib. Mat. Zh., 43 (2002), no. 3, pp. 493-507; English transl. in Sib. Math. J., 43 (2002), no. 3, pp. 389-401. (jointly with K. Aydin, H. Bulgak)
60. Estimation for the region of attraction of nonlinear difference equations. Numerische Mathematik, 92 (2002), no. 3, pp. 421-431. (jointly with H. Bulgak)
61. On properties of a class of matrix differential operators in Rn. Selcuk J. Appl. Math., 3 (2002), no. 2, pp. 23-36.
62. On asymptotic stability of solutions to nonlinear systems of differential equations with periodic coefficients. Selcuk J. Appl. Math., 3 (2002), no. 2, pp. 37-48. (jointly with I.I. Matveeva)
63. Isomorphic properties of one class of matrix differential operators. Dokl. Akad. Nauk, 391 (2003), no. 1, pp. 10-13; English transl. in Dokl. Math., 68 (2003), no. 1, pp. 4-7.
64. On location of the matrix spectrum inside an ellipse. Selcuk J. Appl. Math., 4 (2003), no. 1, pp. 25-41. (jointly with A. Bulgak, I.I. Matveeva)
65. On one class of matrix differential operators. Sib. Mat. Zh., 45 (2004), no. 1, pp. 103-118; English transl. in Sib. Math. J., 45 (2004), no. 1, pp. 86-99.
66. Modelling of multi-stage synthesis without branching by an equation with delay. Sib. Zh. Ind. Mat., 7 (2004), no. 1, pp. 73-94. (jointly with V.A. Likhoshvai, S.I. Fadeev, Yu.G. Matushkin; Russian)
67. Modelling of substance synthesis process without branching by the delay equation. Proceedings of the Fourth International Conference on Bioinformatics of Genome Regulation and Structure (July 25-30, 2004, Novosibirsk, Russia). Novosibirsk: Institute of Cytology and Genetics, 2004, vol. 2, pp. 97-100. (jointly with V.A. Likhoshvai, S.I. Fadeev)
68. An estimate for the attraction domains of difference equations with periodic linear terms. Sib. Mat. Zh., 45 (2004), no. 6, pp. 1199-1208; English transl. in Sib. Math. J., 45 (2004), no. 6, pp. 983-991. (jointly with K. Aydin, H. Bulgak)
69. On stability of solutions to quasilinear periodic systems of differential equations. Sib. Mat. Zh., 45 (2004), no. 6, pp. 1271-1284; English transl. in Sib. Math. J., 45 (2004), no. 6, pp. 1041-1052. (jointly with I.I. Matveeva)
70. Mathematical simulation of regulatory circuits of gene networks. Zh. Vychisl. Mat. Mat. Fiz.,44 (2004), no. 12, pp. 2276-2295; English translat. in Comput. Math. Math. Phys., 44 (2004), no. 12, pp. 2166-2183. (jointly with N.A.Kolchanov, V.A.Likhoshvai, Yu.G.Matushkin, S.I.Fadeev)
71. On differential equations with retarded argument. Sib. Mat. Zh., 46 (2005), no. 3, pp. 538-552; English transl. in Sib. Math. J., 46 (2005), no. 3, pp. 417-430. (jointly with V.A. Likhoshvai)
72. On mixed boundary value problems for pseudoparabolic systems. Sib. Zh. Ind. Mat., 8 (2005), no. 4, pp. 34-50; English transl. in J. Appl. Ind. Math., 1 (2007), no. 1, pp. 18-32. (jointly with I.I. Matveeva)
73. Asymptotic properties of solutions to delay differential equations. Vestnik NGU. Ser.: matematika, mekhanika, informatika, 5 (2005), iss. 3, pp. 20-28. (jointly with I.I. Matveeva; Russian)
74. Asymptotic properties of solutions of the nonhomogeneous Sobolev equation. In: Nonclassical Equations of Mathematical Physics, Russian Akad. Nauk Sibirsk. Otdel., Inst. Mat., Novosibirsk, 2005, pp. 50-59. (jointly with L.N. Buldygerova; Russian)
75. On solvability of boundary value problems for quasi-elliptic systems in $R^n_+$. J. Anal. Appl., 4 (2006), no. 1, pp. 1-11.
76. On one class of systems of differential equations and on retarded equations. Sib. Mat. Zh., 47 (2006), no. 1, pp. 58-68; English transl. in Sib. Math. J., 47 (2006), no. 1, pp. 45-54. (jointly with V.A. Likhoshvai, T.V. Kotova, Yu.E. Khropova)
77. Modeling of gene expression by the delay equation. In: Bioinformatics of Genome Regulation and Structure II (Eds. N. Kolchanov and R. Hofestaedt) Springer Science + Business Media, Inc. 2006, pp. 421-431. (jointly with V.A. Likhoshvai, S.I. Fadeev)
78. On one class of infinite-order systems of differential equations and on delay differential equations. Proceedings of the Fifth International Conference on Bioinformatics of Genome Regulation and Structure (July 16-22, 2006, Novosibirsk, Russia). Novosibirsk: Institute of Cytology and Genetics, 2006, vol. 3, pp. 29-32. (jointly with Yu.E. Khropova, T.V. Kotova)
79. On a new method of approximation of solutions of delay differential equations. Proceedings of the Fifth International Conference on Bioinformatics of Genome Regulation and Structure (July 16-22, 2006, Novosibirsk, Russia). Novosibirsk: Institute of Cytology and Genetics, 2006, vol. 3, pp. 33-37. (jointly with A.V. Mudrov)
80. On properties of solutions of one delay differential equations. Proceedings of the Fifth International Conference on Bioinformatics of Genome Regulation and Structure (July 16-22, 2006, Novosibirsk, Russia). Novosibirsk: Institute of Cytology and Genetics, 2006, vol. 3, pp. 38-42. (jointly with Yu.E. Khropova)
81. Asymptotic properties of solutions of differential-difference equations with periodic coefficients in linear terms. Proceedings of the Fifth International Conference on Bioinformatics of Genome Regulation and Structure (July 16-22, 2006, Novosibirsk, Russia). Novosibirsk: Institute of Cytology and Genetics, 2006, vol. 3, pp. 43-46. (jointly with I.I. Matveeva)
82. Mapping properties of quasielliptic operators and applications. Int. J. Dynamical Systems and Differential Equations, 1 (2007), no. 1, pp. 58-67.
83. Stability of solutions to delay differential equations with periodic coefficients of linear terms. Sib. Mat. Zh., 48 (2007), no. 5, pp. 1025-1040; English transl. in Sib. Math. J., 48 (2007), no. 5, pp. 824-836. (jointly with I.I. Matveeva)
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85. Boundary value problems for quasielliptic systems. Sib. Mat. Zh., 49 (2008), no. 2, pp. 256-273; English transl. in Sib. Math. J., 49 (2008), no. 2, pp. 202-217. (jointly with L.N. Bondar)
86. Exponential dichotomy of linear systems of differential equations with periodic coefficients. Vestnik NGU. Ser.: matematika, mekhanika, informatika, 8 (2008), iss. 4, pp. 40-48. (jointly with Yu.Yu. Klevtsova; Russian)
87. Quasielliptic operators and Sobolev type equations. II. Sib. Mat. Zh., 50 (2009), no. 5, pp. 1060-1069; English transl. in Sib. Math. J., 50 (2009), no. 5, pp. 838-845.
88. Stability of solutions to linear differential equations of neutral type. J. Anal. Appl., 7 (2009), no. 3, pp. 119-130.
89. On the relationship between solutions of delay differential equations and infinite-dimensional systems of differential equations. Differ. Uravn., 45 (2009), no. 1, pp. 34-46; English transl. in Differ. Equations, 45 (2009), no. 1, pp. 33-45. (jointly with V.A. Likhoshvai, A.V. Mudrov)
90. On numerical study of asymptotic stability of solutions to linear periodic differential equations with a parameter. J. Comput. Math. Optim., 5 (2009), no. 3, pp. 163-173. (jointly with I.I. Matveeva)
91. Delay differential equations in problems of multi-stage substance synthesis. Preprint, Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 2009, no. 233, 26 p. (jointly with I.A. Mel'nik, Yu.E. Khropova; Russian)
92. Matrix quasi-elliptic operators in Rn. Dokl. Akad. Nauk, 431 (2010), no. 4, pp. 443-446; English transl. in Dokl. Math., 81 (2010), no. 2, pp. 244-247.
93. Stability of solutions to difference equations with periodic coefficients in linear terms. J. Comput. Math. Optim., 6 (2010), no. 1, pp. 1-12.
94. Stability of solutions to differential equations of neutral type. Vestnik NGU. Ser.: matematika, mekhanika, informatika, 10 (2010), iss. 3, pp. 17-29; English transl. in J. Math. Sci., 186 (2012), no. 3, pp. 394-406. (jointly with T.V. Kotova, M.A. Skvortsova)
95. On properties of solutions to equations modeling multi-stage substance synthesis. J. Anal. Appl., 8 (2010), no. 1, pp. 47-61. (jointly with V.A. Likhoshvai, I.A. Mel'nik)
96. Limit properties of solutions to one class of systems of differential equations with parameters. J. Anal. Appl., 8 (2010), no. 2, pp. 63-74. (jointly with T.V. Kotova)
97. On a method of approximation of solutions to delay differential equations. Sib. Mat. Zh., 51 (2010), no. 3, pp. 528-546; English transl. in Sib. Math. J., 51 (2010), no. 3, pp. 421-436. (jointly with I.A. Mel'nik)
98. On classes of systems of differential equations of large dimensions and delay equations. In: Itogi Nauki. Yug Rossii. Ser. Mat. Forum. YuMI VNTs RAN i RSO-A, Vladikavkaz, 2011, vol. 5, pp. 45-56. (Russian)
99. Systems of differential equations of higher dimension and delay equations. Sib. Mat. Zh., 53 (2012), no. 6, pp. 1274-1282; English transl. in Sib. Math. J., 53 (2012), no. 6, pp. 1021–1028.
100. Asymptotic stability of solutions to one class of nonlinear second-order differential equations with parameters. Vestnik YuUrGU. Ser.: matem. model. program., 40 (2012), no. 14, pp. 39-52. (jointly with K.M. Dulina, I.I. Matveeva; Russian)
101. Self-sustained oscillations in CO oxidation reaction on PdO/Al2O3 catalyst. Chem. Eng. Sci., 83 (2012), pp. 149-158. (jointly with E.A. Lashina, E.M. Slavinskaya, N.A. Chumakova, O.A. Stonkus, R.V. Gulyaev, A.I. Stadnichenko, G.A. Chumakov, A.I. Boronin)
102. Estimates of solutions to the linear differential equations of neutral type with several delays of the argument. Sib. Zh. Ind. Mat., 16 (2013), no. 3, pp. 53-60; English transl. in J. Appl. Ind. Math., 7 (2013), no. 4, pp. 472-479. (jointly with E.S. Vodop'yanov, M.A. Skvortsova)
103. Systems of differential equations with periodic coefficients. Sib. Zh. Ind. Mat., 16 (2013), no. 4, pp. 38-46; English transl. in J. Appl. Ind. Math., 8 (2014), no. 1, pp. 20-27.
104. On boundary value problems for a system of elasticity theory in a multilayered cylinder. J. Anal. Appl., 12 (2014), no. 1 & 2, pp. 13-23.
105. On exponential stability of solutions to one class of systems of differential equations of neutral type. Sib. Zh. Ind. Mat., 17 (2014), no. 3, pp. 59-70; English transl. in J. Appl. Ind. Math., 8 (2014), no. 4, pp. 510-520. (jointly with I.I. Matveeva)
106. On estimates of solutions to systems of differential equations of neutral type with periodic coefficients. Sib. Mat. Zh., 55 (2014), no. 5, pp. 1059-1077; English transl. in Sib. Math. J., 55 (2014), no. 5, pp. 866-881. (jointly with I.I. Matveeva)
107. Estimates for solutions to linear systems of neutral type with several delays. J. Anal. Appl., 12 (2014), no. 1 & 2, pp. 37-52. (jointly with I.I.Matveeva)
108. Estimates for solutions of one class of nonlinear neutral type systems with several delays. Vestnik NGU. Ser.: matematika, mekhanika, informatika, 14 (2014), iss. 4, pp. 32-43; English transl. in J. Math. Sci., 213 (2016), no. 6, pp. 811-822. (jointly with I.I. Matveeva)
109. Solvability conditions of the Cauchy problem for pseudohyperbolic equations. Sib. Mat. Zh., 56 (2015), no. 6, pp. 1289-1303; English transl. in Sib. Math. J., 56 (2015), no. 6, pp. 1028-1041.
110. On asymptotic stability of solutions to delay difference equations. Vestnik NGU. Ser.: matematika, mekhanika, informatika, 15 (2015), iss. 4, pp. 32-45. (jointly with D.Sh. Baldanov; Russian)
111. On the robust stability of solutions to linear differential equations of neutral type with periodic coefficients. Sib. Zh. Ind. Mat., 18 (2015), no. 4, pp. 18–29. (jointly with I.I. Matveeva; Russian)
112. Estimates for solutions to a class of nonlinear time-delay systems of neutral type. Electron. J. Diff. Equ., 2015 (2015), no. 34, pp. 1-14. (jointly with I.I. Matveeva)
113. Asymptotic stability of solutions to a class of linear time-delay systems with periodic coefficients and a large parameter. Journal of Inequalities and Applications, 2015 (2015), no. 331, pp. 1-10. (jointly with I.I. Matveeva)
114. Estimates for solutions to a class of time-delay systems of neutral type with periodic coefficients and several delays. Electron. J. Qual. Theory Differ. Equ., 2015 (2015), no. 83, pp. 1-22. (jointly with I.I. Matveeva)
115. On a class of systems of ordinary differential equations of large dimension. Sib. Zh. Ind. Mat., 19 (2016), no. 2, pp. 47-60. (jointly with I.A. Uvarova; Russian)
116. On conditions for exponential dichotomy of systems of linear differential equations with periodic coefficients. Int. J. Dynamical Systems and Differential Equations, 6 (2016), no. 1, pp. 63-74.
117. Exponential stability of solutions to nonlinear time-delay systems of neutral type. Electron. J. Diff. Equ., 2016 (2016), no. 19, pp. 1-20. (jointly with I.I. Matveeva)
118. Mapping properties of one class of quasielliptic operators. Communications in Computer and Information Science, 655 (2017), pp. 339-348.
119. Systems of differential equations of high dimension, delay and partial differential equations. Functional Differential Equations, 25 (2018), no. 1-2, pp. 21-34.
120. Exponential stability of solutions to delay difference equations with periodic coefficients. In: Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy – A Liber Amicorum to Professor Godunov (Editors: Demidenko G.V., Romenski E., Toro E., Dumbser M.). Cham, Switzerland: Springer Nature, 2020, pp. 93-100. (jointly with D.Sh. Baldanov)
121. On estimates of solutions to one class of functional difference equations with periodic coefficients. In: Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy – A Liber Amicorum to Professor Godunov (Editors: Demidenko G.V., Romenski E., Toro E., Dumbser M.). Cham, Switzerland: Springer Nature, 2020, pp. 101-109. (jointly with I.I. Matveeva)
122. On the existence of periodic solutions to one class of systems of nonlinear differential equations. Lobachevskii Journal of Mathematics, 42 (2021), no. 14, pp. 3336-3343.
123. An overview of some works of S.L. Sobolev. Complex Variables and Elliptic Equations, 66 (2021), no. 6-7, pp. 1162-1181. (jointly with H. Begehr, I.I. Matveeva)
124. Solvability of the Cauchy problem for a pseudohyperbolic system. Complex Variables and Elliptic Equations, 66 (2021), no. 6-7, pp. 1084-1099. (jointly with L.N. Bondar)
125. Asymptotic stability of solutions to a class of second-order delay differential equations. Mathematics. 9 (2021), no. 16, Article ID 1847, pp. 1-13. (jointly with I.I. Matveeva)
126. The second Lyapunov method for time-delay systems, In: Functional Differential Equations and Applications (Editors: Domoshnitsky A., Rasin A., Padhi S.). Series: Springer Proceedings in Mathematics & Statistics. Singapore: Springer Nature, 2021. V. 379. P. 145-167. (jointly with I.I. Matveeva)
