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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2014, Issue 2, Pages 39–45
(Mi uzeru58)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Nonselfadjoint degenerate differential operator equations of higher order on infinite interval
S. Zschorn Yerevan State University
Abstract:
In the paper the Dirichlet problem for some class of degenerate nonselfadjoint differential operator equations of higher order on the infinite interval are considered.
Existence and uniqueness of the generalized solution of Dirichlet problem is proved, some analogue of the Keldysh theorem for the corresponding onedimensional operator is established.
Keywords:
differential equations in abstract spaces, degenerate differential operator equations, weighted Sobolev spaces.
Received: 30.04.2014 Accepted: 12.05.2014
Citation:
S. Zschorn, “Nonselfadjoint degenerate differential operator equations of higher order on infinite interval”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 2, 39–45
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https://www.mathnet.ru/eng/uzeru58 https://www.mathnet.ru/eng/uzeru/y2014/i2/p39
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Abstract page: | 88 | Full-text PDF : | 26 | References: | 43 |
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