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 Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 971–986 (Mi semr972)

Differentical equations, dynamical systems and optimal control

Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations

D. A. Zakoraab

a Voronezh State University, University Sq., 1, 394006, Voronezh, Russia

Abstract: In this paper, we consider a system of connected incomplete second-order integro-differential operator equations. The sufficient conditions for exponential stability of this system are given. In the case where the external forces are of special type an asymptotic behavior of solutions to this system is proven.

Keywords: integro-differential equation, exponential stability, asymptotics.

 Funding Agency Grant Number Ministry of Education and Science of the Russian Federation 14.Z50.31.0037

DOI: https://doi.org/10.17377/semi.2018.15.082

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Bibliographic databases:

Document Type: Article
UDC: 517.968.72
MSC: 45J05, 34K30
Received January 27, 2018, published August 28, 2018

Citation: D. A. Zakora, “Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations”, Sib. Èlektron. Mat. Izv., 15 (2018), 971–986

Citation in format AMSBIB
\Bibitem{Zak18} \by D.~A.~Zakora \paper Asymptotics of solutions to a system of connected incomplete second-order integro-differential operator equations \jour Sib. \Elektron. Mat. Izv. \yr 2018 \vol 15 \pages 971--986 \mathnet{http://mi.mathnet.ru/semr972} \crossref{https://doi.org/10.17377/semi.2018.15.082} `