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FIRST CLASS STEKLOV PROBLEM FOR LOADED MIXED PARABOLIC EQUATION
Zheldasheva Anna Olegovna
Kabardino-Balkar State University Н.M. Berbekova
Nalchik, Senior Lecturer, Department of Differential Equations
Kabardino-Balkar State University Н.M. Berbekova
Nalchik, Senior Lecturer, Department of Differential Equations
Abstract
In this paper we propose a solution to the Steklov problem for mixed-type equations loaded through the reduction to a system of integral equations of Volterra type II. From the solvability of the resulting system of integral equations, it follows that the task of the first class at the Steklov terminology has a unique continuous solution.
Keywords: loaded equation, proof of solvability, Steklov problem, system of integral equations
Category: 01.00.00 Physics and mathematics
Article reference:
First class Steklov problem for loaded mixed parabolic equation // Modern scientific researches and innovations. 2016. № 3 [Electronic journal]. URL: https://web.snauka.ru/en/issues/2016/03/65015
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