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This article is cited in 7 scientific papers (total in 7 papers)
A nonlinear integral equation of Hammerstein type with a noncompact operator
A. Kh. Khachatryan†, Kh. A. Khachatryan
Institute of Mathematics, National Academy of Sciences of Armenia
Abstract:
We consider a homogeneous nonlinear integral equation of Hammerstein type which has an important application in the kinetic theory of gases. We prove a positive solution of this equation exists and describe its
asymptotic behaviour at infinity.
Bibliography: 6 titles.
Keywords:
integral equation of Hammerstein type, factorization of integral operators, convergence of iterations, pointwise limit, asymptotic behaviour of a solution.
† Author to whom correspondence should be addressed
DOI:
https://doi.org/10.4213/sm7310
 Full text:
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English version:
Sbornik: Mathematics, 2010, 201:4, 595–606
Bibliographic databases:
     
UDC:
517.968
MSC: 45G10, 45M20, 47H10
Received: 06.10.2008 and 11.07.2009
Citation:
A. Kh. Khachatryan, Kh. A. Khachatryan, “A nonlinear integral equation of Hammerstein type with a noncompact operator”, Mat. Sb., 201:4 (2010), 125–136; Sb. Math., 201:4 (2010), 595–606
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/msb7310https://doi.org/10.4213/sm7310 http://mi.mathnet.ru/eng/msb/v201/i4/p125
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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Kh. A. Khachatryan, “On solvability of some classes of Urysohn nonlinear integral equations with noncompact operators”, Ufimsk. matem. zhurn., 2:2 (2010), 102–117
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I. Ya. Arefeva, I. V. Volovich, “O nelokalnykh kosmologicheskikh uravneniyakh na poluosi”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(22) (2011), 16–27
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Khachatryan Kh.A., “On a class of nonlinear integral equations with a noncompact operator”, J. Contemp. Math. Anal., 46:2 (2011), 89–100
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Kh. A. Khachatryan, “On a class of integral equations of Urysohn type with strong non-linearity”, Izv. Math., 76:1 (2012), 163–189
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Kh. A. Khachatryan, “O nekotorykh klassakh nelineinykh integralnykh uravnenii s nekompaktnymi operatorami”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 181–188
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Kh. A. Khachatryan, T. G. Sardaryan, “O razreshimosti odnogo klassa nelineinykh integralnykh uravnenii tipa Urysona na vsei pryamoi”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 17:1 (2017), 40–50
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Kh. A. Khachatryan, A. S. Petrosyan, “O znakoperemennykh i ogranichennykh resheniyakh odnogo klassa integralnykh uravnenii na vsei osi s monotonnoi nelineinostyu”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 24:4 (2020), 644–662
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