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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 8, Pages 11–18 (Mi ivm3050)  
Construction of almost periodic solutions to one quasilinear system with two delays

B. G. Grebenshchikov

Chair of Theoretical Mechanics, Ural State University, Ekaterinburg, Russia
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Abstract: In this paper we construct an almost periodic solution to a quasilinear system with constant and linear delays. We prove the asymptotic stability of this solution.
Keywords: successive approximations, exponential bound, convergence, asymptotic stability.
Received: 25.04.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 8, Pages 8–14
DOI: https://doi.org/10.3103/S1066369X09080027
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: B. G. Grebenshchikov, “Construction of almost periodic solutions to one quasilinear system with two delays”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 8, 11–18; Russian Math. (Iz. VUZ), 53:8 (2009), 8–14
Citation in format AMSBIB
\Bibitem{Gre09}
\by B.~G.~Grebenshchikov
\paper Construction of almost periodic solutions to one quasilinear system with two delays
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 8
\pages 11--18
\mathnet{http://mi.mathnet.ru/ivm3050}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2584253}
\zmath{https://zbmath.org/?q=an:05633026}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 8
\pages 8--14
\crossref{https://doi.org/10.3103/S1066369X09080027}
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