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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 8, Pages 16–24
(Mi ivm1676)
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This article is cited in 2 scientific papers (total in 2 papers)
On bounded solutions of difference inclusions
M. S. Bichegkuev North-Ossetia State University, Vladikavkaz, Republic of North Osetiya-Alaniya, Russia
Abstract:
We establish the necessary and sufficient conditions for the uniqueness of a solution to a difference inclusion in the space of bilateral vector sequences. The proof of the main result is based on the spectral theory of linear relations (multivalued linear operators).
Keywords:
linear relation, spectrum of a linear relation, difference inclusion, multiplication operator.
Received: 20.06.2006
Citation:
M. S. Bichegkuev, “On bounded solutions of difference inclusions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 8, 16–24; Russian Math. (Iz. VUZ), 52:8 (2008), 12–19
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https://www.mathnet.ru/eng/ivm1676 https://www.mathnet.ru/eng/ivm/y2008/i8/p16
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Abstract page: | 348 | Full-text PDF : | 67 | References: | 40 | First page: | 2 |
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