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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2014, Issue 2, Pages 24–29
(Mi uzeru56)
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Mathematics
Nonselfadjoint degenerate differential equations of higher order
L. Tepoyan Yerevan State University, Faculty of Mathematics and Mechanics
Abstract:
In this article we consider Dirichlet problem for some class of degenerate nonselfadjoint differential equations of higher order. We prove the existence and uniqueness of the generalized solution, establish analogue of the Keldysh theorem and explore the spectral properties of the corresponding operator.
Keywords:
degenerate differential equations, weighted Sobolev spaces, spectral theory of linear operators.
Received: 03.03.2014 Revised: 24.03.2014
Citation:
L. Tepoyan, “Nonselfadjoint degenerate differential equations of higher order”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 2, 24–29
Linking options:
https://www.mathnet.ru/eng/uzeru56 https://www.mathnet.ru/eng/uzeru/y2014/i2/p24
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Abstract page: | 93 | Full-text PDF : | 39 | References: | 48 |
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