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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 2, Pages 57–66 (Mi vmj419)  
This article is cited in 3 scientific papers (total in 3 papers)

On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation

Kh. A. Khachatryana, S. A. Grigoryanb

a Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia
b State Agrarian University of Armenia, Yerevan, Armenia
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Abstract: The existence is studied of one parametric family of positive bounded solutions for a class of Hammerstein–Volterra type nonlinear homogeneous integral equations. This class of equations has important applications in the kinetic theory of gases.
Key words: Hammerstein–Volterra type equation, factorization, iterative approximation, kernel.
Received: 20.01.2011
Document Type: Article
UDC: 517.968.22+517.968.4
Language: Russian
Citation: Kh. A. Khachatryan, S. A. Grigoryan, “On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation”, Vladikavkaz. Mat. Zh., 14:2 (2012), 57–66
Citation in format AMSBIB
\Bibitem{KhaGri12}
\by Kh.~A.~Khachatryan, S.~A.~Grigoryan
\paper On nontrivial solvability of a~nonlinear Hammerstein--Volterra type integral equation
\jour Vladikavkaz. Mat. Zh.
\yr 2012
\vol 14
\issue 2
\pages 57--66
\mathnet{http://mi.mathnet.ru/vmj419}
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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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