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Izvestiya: Mathematics, 2010, Volume 74, Issue 5, Pages 1069–1082
DOI: https://doi.org/10.1070/IM2010v074n05ABEH002516 (Mi im4087) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Solubility of a class of second-order integro-differential equations with monotone non-linearity on a semi-axis

Kh. A. Khachatryan

Institute of Mathematics, National Academy of Sciences of Armenia
English version PDF (486 kB) Citations (14) Russian version article
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DOI: https://doi.org/10.1070/IM2010v074n05ABEH002516
Abstract: We consider a second-order integro-differential equation with locally monotone non-linearity and use special factorization methods to prove its solubility in the Sobolev space $W^2_\infty(0,+\infty)$. We also evaluate the limit of the solution at infinity in some cases.
Keywords: Sobolev space, iteration, monotonicity of a solution, Carathéodory condition.
Received: 11.02.2009
Bibliographic databases:
Document Type: Article
UDC: 517.968
MSC: Primary 47G20; Secondary 47H30
Language: English
Original paper language: Russian
Citation: Kh. A. Khachatryan, “Solubility of a class of second-order integro-differential equations with monotone non-linearity on a semi-axis”, Izv. Math., 74:5 (2010), 1069–1082
Citation in format AMSBIB
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\by Kh.~A.~Khachatryan
\paper Solubility of a~class of second-order integro-differential equations with monotone non-linearity on a~semi-axis
\jour Izv. Math.
\yr 2010
\vol 74
\issue 5
\pages 1069--1082
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  • https://doi.org/10.1070/IM2010v074n05ABEH002516
  • https://www.mathnet.ru/eng/im/v74/i5/p191
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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