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Matematicheskie Trudy, 2015, Volume 18, Number 1, Pages 190–200
DOI: https://doi.org/10.17377/mattrudy.2015.18.107 (Mi mt289) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the solvability of one class of nonlinear integral equations in $L_1(0,+\infty)$

K. A. Khachatryana, T. E. Terdzhyanb

a Institute of Mathematics of the NAS of Armenia, Yerevan, Armenia
b Armenian National Agrarian University, Yerevan, Armenia
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DOI: https://doi.org/10.17377/mattrudy.2015.18.107
Abstract: We study the problem of constructing a solution that is positive, integrable, and essentially bounded on $(0,+\infty)$ to one class of nonlinear Hammerstein integral equations with noncompact operator in the critical case.
Key words: nonlinear equation, Hammerstein operator, space of integrable functions, convergence, monotonicity.
Received: 11.11.2014
English version:
Siberian Advances in Mathematics, 2015, Volume 25, Issue 4, Pages 268–275
DOI: https://doi.org/10.3103/S1055134415040045
Bibliographic databases:
Document Type: Article
UDC: 517.968.74
Language: Russian
Citation: K. A. Khachatryan, T. E. Terdzhyan, “On the solvability of one class of nonlinear integral equations in $L_1(0,+\infty)$”, Mat. Tr., 18:1 (2015), 190–200; Siberian Adv. Math., 25:4 (2015), 268–275
Citation in format AMSBIB
\Bibitem{KhaTer15}
\by K.~A.~Khachatryan, T.~E.~Terdzhyan
\paper On the solvability of one class of nonlinear integral equations in~$L_1(0,+\infty)$
\jour Mat. Tr.
\yr 2015
\vol 18
\issue 1
\pages 190--200
\mathnet{http://mi.mathnet.ru/mt289}
\crossref{https://doi.org/10.17377/mattrudy.2015.18.107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408638}
\elib{https://elibrary.ru/item.asp?id=23419037}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 4
\pages 268--275
\crossref{https://doi.org/10.3103/S1055134415040045}
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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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