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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 5, Pages 55–64
(Mi ivm6736)
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This article is cited in 1 scientific paper (total in 1 paper)
A mapping for a point spectrum and the uniqueness of a solution to the inverse problem for a Sobolev-type equation
A. V. Urazaeva Chair or Mathematical Analisys, Chelyabinsk State University, Chelyabinsk, Russia
Abstract:
In this paper we study a mapping of a point spectrum of a multivalued linear operator that generates a strongly continuous semigroup. We obtain the necessary and sufficient conditions for the uniqueness of a solution to the inverse problem for a Sobolev-type equation.
Keywords:
multivalued linear operator, inverse problem, uniqueness of a solution, semigroup of operators, Sobolev-type equation, phase field system of equations.
Received: 07.04.2008
Citation:
A. V. Urazaeva, “A mapping for a point spectrum and the uniqueness of a solution to the inverse problem for a Sobolev-type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 5, 55–64; Russian Math. (Iz. VUZ), 54:5 (2010), 47–55
Linking options:
https://www.mathnet.ru/eng/ivm6736 https://www.mathnet.ru/eng/ivm/y2010/i5/p55
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Abstract page: | 292 | Full-text PDF : | 53 | References: | 56 | First page: | 8 |
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