SOLVING OF SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER BY MEANS OF THE METHOD OF ADDITIONAL ARGUMENT

11.11.2023 International Scientific Journal "Science and Innovation". Series A. Volume 2 Issue 11

Ashirbayeva Aizharkyn Zhorobekovna, Bekieva Malika Raimjonovna

Abstract. The application of the method of additional argument to a system of high-order partial integro-differential equations is relevant. Kyrgyz scientists have considered applications of this method to a system of partial differential equations of first order. In this paper, the system of partial integro-differential equations of the second order with initial conditions is reduced to a system of integral equations.

Keywords: method of additional argument, system of equations, second order, partial derivatives, initial problem, integral equation, contraction.