NONLOCAL PROBLEM FOR A MIXED TYPE DIFFERENTIAL EQUATION IN RECTANGULAR DOMAIN

Authors

  • T.K. Yuldashev tment of Higher Mathematics, Siberian State Aerospace University, Krasnoyarsk, RF

DOI:

https://doi.org/10.46991/PYSU:A/2016.50.3.070

Keywords:

mixed value problem, mixed type differential equation, integral condition, one valued solvability

Abstract

In the article the questions of solvability and construction of the solution of nonlocal mixed value problem for a homogeneous mixed type differential equation are considered. The spectral method based on the separation of variables is used. A criterion for a single-valued solvability of the considered problem is installed. Under this criterion the single-valued solvability of the problem is proved. The existence of problem solutions in the case of uniqueness failure is studied, also.

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Published

2016-10-26

Issue

Vol. 50 No. 3 (241) (2016)

Section

Mathematics

License

Copyright (c) 2016 Proceedings of the YSU

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Yuldashev, T. (2016). NONLOCAL PROBLEM FOR A MIXED TYPE DIFFERENTIAL EQUATION IN RECTANGULAR DOMAIN. Proceedings of the YSU A: Physical and Mathematical Sciences, 50(3 (241), 70-78. https://doi.org/10.46991/PYSU:A/2016.50.3.070

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