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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 1, Pages 91–108
DOI: https://doi.org/10.17377/PAM.2017.17.108 (Mi vngu433) 		 
This article is cited in 4 scientific papers (total in 4 papers)

One parameter families of positive solutions of some classes of convolution type nonlinear integral equations

Kh. A. Khachatryana, H. S. Petrosyanb

a Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
b National Agrarian University of Armenia
Full-text PDF (179 kB) Citations (4)
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DOI: https://doi.org/10.17377/PAM.2017.17.108
Abstract: We study a class of nonlinear integral equations of convolution type on the half line and on the whole line with noncompact Hammerstein operator. Under certain restrictions on the nonlinearity we prove the existence of one-parameter family of positive solutions and study the asymptotic behaviour of the solutions at infinity. To illustrate the results, we give some specific examples of the equations.
Keywords: monotonicity, iterations, one-parameter family of positive solutions, Caratheodory condition, set of parameters.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia SCS 16YR-1A002
Received: 17.09.2015
English version:
Journal of Mathematical Sciences, 2018, Volume 231, Issue 2, Pages 153–167
DOI: https://doi.org/10.1007/s10958-018-3812-2
Document Type: Article
UDC: 517.968.4
Language: Russian
Citation: Kh. A. Khachatryan, H. S. Petrosyan, “One parameter families of positive solutions of some classes of convolution type nonlinear integral equations”, Sib. J. Pure and Appl. Math., 17:1 (2017), 91–108; J. Math. Sci., 231:2 (2018), 153–167
Citation in format AMSBIB
\Bibitem{KhaPet17}
\by Kh.~A.~Khachatryan, H.~S.~Petrosyan
\paper One parameter families of positive solutions of some classes of convolution type nonlinear integral equations
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 1
\pages 91--108
\mathnet{http://mi.mathnet.ru/vngu433}
\crossref{https://doi.org/10.17377/PAM.2017.17.108}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 231
\issue 2
\pages 153--167
\crossref{https://doi.org/10.1007/s10958-018-3812-2}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал чистой и прикладной математики
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