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Matematicheskie Zametki, 2003, Volume 74, Issue 3, Pages 435–445
DOI: https://doi.org/10.4213/mzm277 (Mi mzm277) 		 
This article is cited in 49 scientific papers (total in 49 papers)

A Mixed Problem with Integral Condition for the Hyperbolic Equation

L. S. Pulkina

Samara State University
Full-text PDF (203 kB) Citations (49)
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DOI: https://doi.org/10.4213/mzm277
Abstract: In this paper, we study a mixed problem for the hyperbolic equation with a boundary Neumann condition and a nonlocal integral condition. We justify the assertion that there exists a unique generalized solution of the problem under consideration. The proof of uniqueness is based on an estimate, derived a priori, in the function space introduced in the paper, while the existence of a generalized solution is proved by the Galerkin method.
Received: 15.01.2002
Revised: 25.07.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 3, Pages 411–421
DOI: https://doi.org/10.1023/A:1026167021195
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: L. S. Pulkina, “A Mixed Problem with Integral Condition for the Hyperbolic Equation”, Mat. Zametki, 74:3 (2003), 435–445; Math. Notes, 74:3 (2003), 411–421
Citation in format AMSBIB
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    • This publication is cited in the following 49 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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