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Matematicheskie Zametki, 2014, Volume 96, Issue 2, Pages 251–260
DOI: https://doi.org/10.4213/mzm8569 (Mi mzm8569) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonclassical Analog of the Goursat Problem for a Three-Dimensional Equation with Highest Derivative

I. G. Mamedov

Institute of Cybernetics named after Academician A. Huseynov, National Academy of Sciences of Aserbaijan
Full-text PDF (474 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8569
Abstract: In the present paper, we study the Goursat problem for a three-dimensional equation with highest derivative of fifth order with $L_p$-coefficients and establish a homeomorphism between certain pairs of Banach spaces by reducing this problem to the equivalent Volterra integral equation.
Keywords: three-dimensional equation with highest derivative of fifth order, Goursat problem, Volterra integral equation, Sobolev space.
Received: 18.08.2009
Revised: 20.06.2012
English version:
Mathematical Notes, 2014, Volume 96, Issue 2, Pages 239–247
DOI: https://doi.org/10.1134/S0001434614070256
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: I. G. Mamedov, “Nonclassical Analog of the Goursat Problem for a Three-Dimensional Equation with Highest Derivative”, Mat. Zametki, 96:2 (2014), 251–260; Math. Notes, 96:2 (2014), 239–247
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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