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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 428–441 (Mi smj2096)  
This article is cited in 1 scientific paper (total in 1 paper)

The Cauchy problem for a semi-infinite Volterra chain with an asymptotically periodic initial condition

A. Kh. Khanmamedov

Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
Full-text PDF (340 kB) Citations (1)
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Abstract: We examine the Cauchy problem for a semi-infinite Volterra chain with an asymptotically periodic initial condition. The question is addressed of existence of a solution with the same asymptotics at infinity as the initial condition. We demonstrate that the method of the inverse scattering problem is applicable to this problem.
Keywords: Volterra chain, scattering problem, asymptotically periodic condition, inverse problem method, Cauchy problem, global solvability.
Received: 14.12.2007
Revised: 19.11.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 346–356
DOI: https://doi.org/10.1007/s11202-010-0036-1
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. Kh. Khanmamedov, “The Cauchy problem for a semi-infinite Volterra chain with an asymptotically periodic initial condition”, Sibirsk. Mat. Zh., 51:2 (2010), 428–441; Siberian Math. J., 51:2 (2010), 346–356
Citation in format AMSBIB
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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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