ON AN INTEGRO-DIFFERENTIAL EQUATION OF PSEUDOPARABOLIC-PSEUDOHYPERBOLIC TYPE WITH DEGENERATE KERNELS

T.K. Yuldashev

doi:10.46991/PYSU:A/2018.52.1.019

ON AN INTEGRO-DIFFERENTIAL EQUATION OF PSEUDOPARABOLIC-PSEUDOHYPERBOLIC TYPE WITH DEGENERATE KERNELS

Authors

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

DOI:

https://doi.org/10.46991/PYSU:A/2018.52.1.019

Keywords:

integro-differential equation, mixed type equation, degenerate kernels, integral condition, one valued solvability

Abstract

In the article the questions of solvability of boundary value problem for a homogeneous pseudoparabolic-pseudohyperbolic type integro-differential equation with degenerate kernels are considered. The Fourier method based on separation of variables is used. A criterion for the one-valued solvability of the considering problem is found. Under this criterion the one-valued solvability of the problem is proved.

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Published

2018-04-16

How to Cite

Yuldashev, T. (2018). ON AN INTEGRO-DIFFERENTIAL EQUATION OF PSEUDOPARABOLIC-PSEUDOHYPERBOLIC TYPE WITH DEGENERATE KERNELS. Proceedings of the YSU A: Physical and Mathematical Sciences, 52(1 (245), 19–26. https://doi.org/10.46991/PYSU:A/2018.52.1.019