This article is cited in 1 paper

PHYSICS AND MATHEMATICS

Development of the method of additional argument for a system of non-linear differential equations

A. Zh. Ashirbaeva^a, G. K. Sadykova<sup>b

a</sup> Osh Technological University
^b Osh State University

Abstract: The paper considers the initial problem for systems of equations and uses the developed method of additional argument to solve the problem. A review of the known results on the method under consideration is presented, and the degree of relevance of the problem under study is substantiated on their basis. The stated initial problem is reduced to a system of integral equations when using certain classes of functions. This developed research technique can be used to prove the existence of a solution to new types of vector-matrix non-linear equations.

Keywords: a system of partial differential equations, initial conditions, an additional argument, the principle of contraction mappings.

DOI: 10.23670/IRJ.2019.82.4.001

 English version: DOI: 10.23670/IRJ.2019.82.4.001