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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2014, Issue 3, Pages 16–23 (Mi uzeru67)  
Mathematics

On solvability of a class of nonlinear integral equations with Hammerstein type noncompact operator in the space $L_1(R^+)$

Kh. A. Khachatryan, T. H. Sardaryan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
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Abstract: In the paper a class of nonlinear integral equations on the positive semi axis with noncompact Hammerstein type operator is studied.
The existence of nontrivial, nonnegative, integrable and bounded on $R^+$ solution is proved. Some specific examples of these equations representing independent interest are given.
Keywords: Hammerstein type equation, one-parameter family of solutions, Caratheodory condition, monotony, iteration.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 13YR-1A0003
This work was supported by SCS of MES of RA, in the frame of the research project SCS $``13YR-1A0003”$
Received: 05.05.2014
Accepted: 09.06.2014
Document Type: Article
MSC: Primary 45G05; Secondary 47H30
Language: English
Citation: Kh. A. Khachatryan, T. H. Sardaryan, “On solvability of a class of nonlinear integral equations with Hammerstein type noncompact operator in the space $L_1(R^+)$”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 3, 16–23
Citation in format AMSBIB
\Bibitem{KhaSar14}
\by Kh.~A.~Khachatryan, T.~H.~Sardaryan
\paper On solvability of a class of nonlinear integral equations with Hammerstein type noncompact operator in the space $L_1(R^+)$
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2014
\issue 3
\pages 16--23
\mathnet{http://mi.mathnet.ru/uzeru67}
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