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Differentical equations, dynamical systems and optimal control
Asymptotic properties of a solution to the Cauchy problem for one
Sobolev type system
L. N. Bondar Sobolev Institute of Mathematics,
pr. Koptyuga, 4,
630090, Novosibirsk, Russia
Abstract:
In thе paper we investigate the asymptotic behavior as $t\to\infty$ of a solution to the Cauchy problem for one Sobolev type system with a right-hande side. The form of the limit vector-function is established and the convergence rate is obtained.
Keywords:
Sobolev type system, Sobolev system, asymptotic behavior of solution.
Received July 17, 2018, published August 17, 2018
Citation:
L. N. Bondar, “Asymptotic properties of a solution to the Cauchy problem for one
Sobolev type system”, Sib. Èlektron. Mat. Izv., 15 (2018), 894–905
Linking options:
https://www.mathnet.ru/eng/semr964 https://www.mathnet.ru/eng/semr/v15/p894
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Abstract page: | 149 | Full-text PDF : | 31 | References: | 32 |
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