@article { Gutman20171204,
  author = "Gutman A.E. and Kononenko L.I.",
  howpublished = "Electronic",
  title = "The inverse problem of chemical kinetics as a composition of binary correspondences",
  journal = "Sib. Electron. Math. Rep.",
  year = "2018",
  volume = "15",
  pages = "48--53",
  doi = "10.17377/semi.2018.15.006",
  language = "russian",
  annote = "Binary correspondences are employed for formalization of the notion of problem, definition of the basic components of problems, their properties, and constructions (the condition of a problem, its data and unknowns, solvability and unique solvability of a problem, inverse problem, and composition of problems). As an illustration, we consider a system of differential equations which describe a process in chemical kinetics. Within the study of the inverse problem, a criterion is established for linear independence of functions in terms of finite sets of their values.",
  keywords = "differential equation, chemical kinetics, inverse problem, linear independence, binary correspondence, solvability, composition"
}