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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 10, Pages 1679–1683
DOI: https://doi.org/10.7868/S0044466913100141 (Mi zvmmf9931) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Solvability analysis of a nonlocal boundary value problem by applying the contraction mapping principle

E. A. Volkov

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
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DOI: https://doi.org/10.7868/S0044466913100141
Abstract: The existence and uniqueness of a classical solution to the nonlocal boundary value problem for Poisson's operator on a two-dimensional rectangular domain is proved in detail by applying the contraction mapping principle.
Key words: rectangular domain, nonlocal boundary value problem for Poisson's operator, contraction mapping principle, solvability of boundary value problems.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00744
Ministry of Education and Science of the Russian Federation НШ-65772.2010.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 06.05.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 10, Pages 1494–1498
DOI: https://doi.org/10.1134/S0965542513100138
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: E. A. Volkov, “Solvability analysis of a nonlocal boundary value problem by applying the contraction mapping principle”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013), 1679–1683; Comput. Math. Math. Phys., 53:10 (2013), 1494–1498
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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