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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 7, Pages 35–44 (Mi ivm8718)  
This article is cited in 1 scientific paper (total in 1 paper)

The asymptotic behavior of solutions of a certain nonlinear Volterra equation

Z. B. Tsalyuka, M. V. Tsalyukb

a Chair of Differential and Integral Equations, Kuban State University, Krasnodar, Russia
b Center of Distance Education, Krasnodar Regional Institute of Supplementary Professional Pedagogical Education, Krasnodar, Russia
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Abstract: We study the asymptotic behavior of bounded and unbounded solutions to the Volterra–Hammerstein equation. We obtain conditions for the admissibility of pairs of spaces of functions representable as a sum of a quasipolynomial and a subsum of the Taylor expansion at the point in infinity.
Keywords: asymptotic behavior, Volterra–Hammerstein equations.
Received: 20.07.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 7, Pages 30–38
DOI: https://doi.org/10.3103/S1066369X12070043
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: Z. B. Tsalyuk, M. V. Tsalyuk, “The asymptotic behavior of solutions of a certain nonlinear Volterra equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 7, 35–44; Russian Math. (Iz. VUZ), 56:7 (2012), 30–38
Citation in format AMSBIB
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\by Z.~B.~Tsalyuk, M.~V.~Tsalyuk
\paper The asymptotic behavior of solutions of a~certain nonlinear Volterra equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 7
\pages 35--44
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 7
\pages 30--38
\crossref{https://doi.org/10.3103/S1066369X12070043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866275569}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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