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Matematicheskie Zametki, 2015, Volume 98, Issue 3, Pages 393–406
DOI: https://doi.org/10.4213/mzm9135 (Mi mzm9135) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Boundary-Value Problem with Nonlocal Integral Condition for Mixed-Type Equations with Degeneracy on the Transition Line

Yu. K. Sabitovaab

a Sterlitamak branch of Bashkir State University
b Institute of Applied Research, Sterlitamak
Full-text PDF (481 kB) Citations (25)
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DOI: https://doi.org/10.4213/mzm9135
Abstract: For an elliptic-hyperbolic type equation, the boundary-value problem with nonlocal Samarskii–Ionkin condition in a rectangular domain is solved. Using the spectral analysis method, a uniqueness criterion is established and the existence theorem for the solution of the problem is proved. The solution of the problem is constructed as the sum of a biorthogonal series.
Keywords: elliptic-hyperbolic type equation, boundary-value problem, Samarskii–Ionkin condition, spectral analysis, Bessel's equation, Weierstrass criterion.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-97003
This work was supported by the Russian Foundation for Basic Research under grant 14-01-97003.
Received: 01.05.2011
Revised: 03.03.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 3, Pages 454–465
DOI: https://doi.org/10.1134/S0001434615090114
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Yu. K. Sabitova, “Boundary-Value Problem with Nonlocal Integral Condition for Mixed-Type Equations with Degeneracy on the Transition Line”, Mat. Zametki, 98:3 (2015), 393–406; Math. Notes, 98:3 (2015), 454–465
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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