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Matematicheskie Zametki, 2016, Volume 100, Issue 4, Pages 566–576
DOI: https://doi.org/10.4213/mzm10995 (Mi mzm10995) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Asymptotic Properties of Solutions of the Dirichlet Problem in the Half-Plane for Differential-Difference Elliptic Equations

A. B. Muravnikab

a RUDN University
b AO "Sozvezdie" Voronezh, Russia
Full-text PDF (481 kB) Citations (25)
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DOI: https://doi.org/10.4213/mzm10995
Abstract: The Dirichlet problem in the half-plane for elliptic equations containing, in addition to differential operators, the shift operator with respect to the variable parallel to the boundary of the domain is considered. The behavior of the solution as the variable orthogonal to the boundary of the domain increases unboundedly is studied.
Keywords: differential-difference equation, elliptic equation, qualitative properties.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-4479.2014.1
Russian Foundation for Basic Research 14-01-00265
This work was supported by the Ministry of Education and Science of the Russian Federation (project RUDN 5-100) on the program to improve the competitiveness of Peoples' Friendship University (RUDN University) among the world's leading research and education centers in 2016–2020. and by the Russian Foundation for Basic Research under grant 14-01-00265.
Received: 23.10.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 4, Pages 579–588
DOI: https://doi.org/10.1134/S0001434616090297
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. B. Muravnik, “Asymptotic Properties of Solutions of the Dirichlet Problem in the Half-Plane for Differential-Difference Elliptic Equations”, Mat. Zametki, 100:4 (2016), 566–576; Math. Notes, 100:4 (2016), 579–588
Citation in format AMSBIB
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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