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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2018, Volume 52, Issue 1, Pages 19–26
(Mi uzeru453)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
On an integro-differential equation of pseudoparabolic-pseudohyperbolic type with degenerate kernels
T. K. Yuldashev Department of Higher Mathematics, Siberian State Aerospace University, Krasnoyarsk, RF
Abstract:
In this article the questions of solvability of boundary value problem for a homogeneous pseudoparabolic-pseudohyperbolic type integro-differential equation with degenerate kernels are considered. Is used the Fourier method based on separation of variables. The criterion of one-value solvability of the considering problem is installed. Under this criterion is proved the one-valued solvability of the problem.
Keywords:
integro-differential equation, mixed type equation, degenerate kernels, integral condition, one valued solvability.
Received: 27.09.2017 Accepted: 15.01.2018
Citation:
T. K. Yuldashev, “On an integro-differential equation of pseudoparabolic-pseudohyperbolic type with degenerate kernels”, Proceedings of the YSU, Physical and Mathematical Sciences, 52:1 (2018), 19–26
Linking options:
https://www.mathnet.ru/eng/uzeru453 https://www.mathnet.ru/eng/uzeru/v52/i1/p19
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Abstract page: | 542 | Full-text PDF : | 344 | References: | 51 |
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