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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 2, Pages 67–83 (Mi basm259)  
This article is cited in 3 scientific papers (total in 3 papers)

Research articles

On solvability of one class of Hammerstein nonlinear integral equations

A. Kh. Khachatryan, Kh. A. Khachatryan

Institute of Mathematics of National Academy of Sciences Armenia
Full-text PDF (208 kB) Citations (3)
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Abstract: The article deals with one class of Hammerstein nonlinear integral equations with kernel depending on the sum and the difference of arguments. In the particular case of basic nonlinear equation the existence of one parameter family of solutions is proved. Using special solution of this family the solution of basic nonlinear equation is constructed and asymptotic behavior at infinity is investigated. At the end of the work some of examples are given.
Keywords and phrases: Hammerstein equation, factorization, set of parameters, iteration, Caratheodory condition.
Received: 27.10.2009
Bibliographic databases:
Document Type: Article
MSC: 45Gxx, 45G05
Language: English
Citation: A. Kh. Khachatryan, Kh. A. Khachatryan, “On solvability of one class of Hammerstein nonlinear integral equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 2, 67–83
Citation in format AMSBIB
\Bibitem{KhaKha10}
\by A.~Kh.~Khachatryan, Kh.~A.~Khachatryan
\paper On solvability of one class of Hammerstein nonlinear integral equations
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2010
\issue 2
\pages 67--83
\mathnet{http://mi.mathnet.ru/basm259}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2743053}
\zmath{https://zbmath.org/?q=an:1205.45007}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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