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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 1, Pages 259–267
(Mi timm688)
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This article is cited in 5 scientific papers (total in 5 papers)
The problem of start control for a class of semilinear distributed systems of Sobolev type
V. E. Fedorova, M. V. Plekhanovab a Chelyabinsk State University
b South Ural State University
Abstract:
A result on the solvability of the Cauchy problem for a semilinear equation of Sobolev type in a Banach space is obtained with the help of the theory of degenerate operator semigroups. The result is used for investigating the problem of start control in the corresponding system. Abstract results are illustrated by the example of the semilinear Dzektser equation.
Keywords:
optimal control, distributed system, Sobolev type equation, semilinear equation.
Received: 02.08.2010
Citation:
V. E. Fedorov, M. V. Plekhanova, “The problem of start control for a class of semilinear distributed systems of Sobolev type”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 259–267; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S40–S48
Linking options:
https://www.mathnet.ru/eng/timm688 https://www.mathnet.ru/eng/timm/v17/i1/p259
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Abstract page: | 386 | Full-text PDF : | 90 | References: | 58 | First page: | 10 |
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