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Last name: Uvarova (Mel'nik)
First name: Irina
Middle name: Alekseevna
Data of birth: November 27, 1986 (Russia)
Languages: Russian (native language), English

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2003-2009 - Department of Mathematics and Mechanics, Novosibirsk State University (Novosibirsk).

2009 - Diploma (M. Sc.), Novosibirsk State University (Novosibirsk).

2009-2012 - Postgraduate, Novosibirsk State University (Novosibirsk).

2012 - Candidate of Physical and Mathematical Sciences (Ph. D.), Novosibirsk State University (Novosibirsk).

Ph. D. Thesis: "Systems of Ordinary Differential Equations of High Dimension and Delay Differential Equations".

 

Ph. D. Advisor: Professor Gennadii V. Demidenko.

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2012-2013 - Junior Scientific Researcher, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).

2013-present - Scientific Researcher, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Novosibirsk).

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Ordinary differential equations, delay differential equations

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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)

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 "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)

Project  "Numerical Methods for Solving Direct and Inverse Problems for Differential, Difference and Delay Equations", supported by the Russian Foundation for Basic Research (RFBR), no. 10-01-00035 (2010-2012)

Scholarship of the Siberian Mathematical Journal for postgraduates (2011)

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)

Project  "Algorithms and Numerical Methods for Solving Direct and Inverse Problems for Differential-Difference Equations", supported by RFBR, no. 13-01-00329 (2013)

Project "Properties of Solutions to Delay Differential Equations", supported by RFBR, no. 14-01-31528 (2014-2015; 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)

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1. 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 G.V. Demidenko, Yu.E. Khropova; Russian)

2. 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. 419-434. (jointly with G.V. Demidenko)

3. On properties of solutions to equations of multistage substance synthesis. J. Anal. Appl., 8 (2010), no. 1, pp. 47-61. (jointly with G.V. Demidenko, V.A. Likhoshvai)

4. Baker-Akhiezer modules on rational varieties // SIGMA Symmetry Integrability Geom. Methods Appl., 6 (2010), no. 30, 15 p. (jointly with A.E. Mironov)  

5. On properties of solutions to one nonlinear system of differential equations with parameters. Preprint, Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 2010, no. 253, 17 p. (jointly with T.V. Kotova; Russian)

6. On properties of solutions to a nonlinear system of differential equations of large dimension. Preprint, Inst. of Math. Russian Acad. Sci., Siberian Branch, Novosibirsk, 2011, no. 261, 17 p. (jointly with I.I. Matveeva; Russian)

7. On one nonlinear system of differential equations modeling multistage substance synthesis. Tambov University Reports. Ser.: Natural and Technical Sciences, 16 (2011), iss. 5, pp. 1254-1259. (Russian)

8. On the properties of solutions to a class of nonlinear systems of differential equations of large dimension. Sib. Mat. Zh., 53 (2012), no. 2, pp. 312-324; English transl. in Sib. Math. J., 53 (2012), no. 2, pp. 248-258. (jointly with I.I. Matveeva)

9. On a system of nonlinear differential equations of high dimension. Sib. Zh. Ind. Mat., 17 (2014), no. 3, pp. 111-121; English transl. in J. Appl. Ind. Math., 8 (2014), no. 4, pp. 594-603.

10. Properties of solutions to a system of ordinary differential equations of higher dimension. Vestnik NGU. Ser.: matematika, mekhanika, informatika, 14 (2014), iss. 2, pp. 88-97; English transl. in J. Math. Sci., 211 (2015), no, 6, pp. 902-909.

11. A class of systems of ordinary differential equations of large dimension. Sib. Zh. Ind. Mat., 19 (2016), no. 2, pp. 47-60. (jointly with G.V. Demidenko; Russian)

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