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Matematicheskie Zametki, 2003, Volume 74, Issue 1, Pages 76–87
DOI: https://doi.org/10.4213/mzm247
(Mi mzm247)
 

This article is cited in 6 scientific papers (total in 6 papers)

Construction of Eigenfunctions of the Tricomi–Neumann Problem for Equations of Mixed Type with Characteristic Degeneration and Their Application

K. B. Sabitova, S. L. Bibakovab

a Academy of Sciences of Bashkortostan
b Sterlitamak State Pedagogical Institute
Full-text PDF (208 kB) Citations (6)
References:
Abstract: For the equation of mixed type
$$ L_\alpha u\equiv u_{xx}+yu_{yy}+\alpha u_y+\lambda u=0, $$
where $0<\alpha<1$ and $\lambda$ is a complex parameter, we obtain eigenvalues in a special domain by the method of separation of variables and construct the system of corresponding eigenfunctions of the Tricomi–Neumann spectral problem. We construct the solution of the Tricomi–Neumann problem as a sum of biorthogonal series.
Received: 14.11.2001
English version:
Mathematical Notes, 2003, Volume 74, Issue 1, Pages 70–80
DOI: https://doi.org/10.1023/A:1025019216707
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: K. B. Sabitov, S. L. Bibakova, “Construction of Eigenfunctions of the Tricomi–Neumann Problem for Equations of Mixed Type with Characteristic Degeneration and Their Application”, Mat. Zametki, 74:1 (2003), 76–87; Math. Notes, 74:1 (2003), 70–80
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm247
  • https://www.mathnet.ru/eng/mzm/v74/i1/p76
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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