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.

UDC: 517.955.8

MSC: 35B40

Received July 17, 2018, published August 17, 2018

DOI: 10.17377/semi.2018.15.077

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