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Matematicheskie Zametki, 2010, Volume 87, Issue 6, Pages 867–876
DOI: https://doi.org/10.4213/mzm6596 (Mi mzm6596) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Unique Solvability of an Analog of the Tricomi Problem with Nonlocal Integral Conjugation Condition

E. R. Mansurova

Mari State University
Full-text PDF (460 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm6596
Abstract: Using an alternating method of Schwartz type, we prove the unique solvability of the elliptic-hyperbolic equation in the class of generalized solutions of an analog of the Tricomi problem with nonlocal integral conjugation condition for the case of an arbitrary approach of the elliptic boundary of the domain to the line of type change with the exception of the case of tangency.
Keywords: elliptic-hyperbolic equation, Tricomi problem, alternating method of Schwartz type, Goursat problem, Riemann function, maximum principle.
Received: 28.11.2008
English version:
Mathematical Notes, 2010, Volume 87, Issue 6, Pages 844–853
DOI: https://doi.org/10.1134/S000143461005024X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: E. R. Mansurova, “Unique Solvability of an Analog of the Tricomi Problem with Nonlocal Integral Conjugation Condition”, Mat. Zametki, 87:6 (2010), 867–876; Math. Notes, 87:6 (2010), 844–853
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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