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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 91–100 (Mi ivm7175)  
This article is cited in 7 scientific papers (total in 7 papers)

Solvability of some classes of nonlinear integro-differential equations with noncompact operator

Kh. A. Khachatryana, E. A. Khachatryanb

a Department of Methods of Mathematical Physics, Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Republic of Armenia
b Chair of Higher Mathematics, Armenian State Agrarian University, Yerevan, Republic of Armenia
Full-text PDF (205 kB) Citations (7)
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Abstract: For a class of nonlinear integrodifferential equations with a noncompact Urysohn-type operator we prove the existence of nonnegative bounded solutions. We study the asymptotic behavior of solutions at infinity. We give some examples that are of practical interest.
Keywords: nonlinearity, Urysohn-type equation, Carathéodory condition, Sobolev space, Hammerstein-type equation, Wiener–Hopf operator, pointwise convergence.
Received: 14.05.2009
Revised: 07.08.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 1, Pages 79–87
DOI: https://doi.org/10.3103/S1066369X11010099
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: Kh. A. Khachatryan, E. A. Khachatryan, “Solvability of some classes of nonlinear integro-differential equations with noncompact operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 91–100; Russian Math. (Iz. VUZ), 55:1 (2011), 79–87
Citation in format AMSBIB
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\by Kh.~A.~Khachatryan, E.~A.~Khachatryan
\paper Solvability of some classes of nonlinear integro-differential equations with noncompact operator
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 1
\pages 91--100
\mathnet{http://mi.mathnet.ru/ivm7175}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810197}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 1
\pages 79--87
\crossref{https://doi.org/10.3103/S1066369X11010099}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952851310}
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    • This publication is cited in the following 7 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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