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Sbornik: Mathematics, 2010, Volume 201, Issue 4, Pages 595–606
DOI: https://doi.org/10.1070/SM2010v201n04ABEH004083 (Mi sm7310) 		 
This article is cited in 10 scientific papers (total in 10 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
English version PDF (234 kB) Citations (10)
References:
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DOI: https://doi.org/10.1070/SM2010v201n04ABEH004083
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.
Received: 06.10.2008 and 11.07.2009
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 4, Pages 125–136
DOI: https://doi.org/10.4213/sm7310
Bibliographic databases:
UDC: 517.968
MSC: 45G10, 45M20, 47H10
Language: English
Original paper language: Russian
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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  • https://www.mathnet.ru/eng/sm/v201/i4/p125
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:249
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    References:138
    First page:95
     
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