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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 491, Pages 44–46
DOI: https://doi.org/10.31857/S2686954320020241 (Mi danma47) 		 
This article is cited in 8 scientific papers (total in 8 papers)

MATHEMATICS

On global classical solutions of hyperbolic differential-difference equations

N. V. Zaitseva

Kazan (Volga Region) Federal University, Kazan, Russian Federation
Full-text PDF (91 kB) Citations (8)
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DOI: https://doi.org/10.31857/S2686954320020241
Abstract: A one-parameter family of global solutions of a two-dimensional hyperbolic differential-difference equation with an operator acting with respect to a space variable is constructed. A theorem is proved stating that the resulting solutions are classical for all parameter values if the symbol of the difference operator of the equation has a positive real part. Classes of equations for which this condition is satisfied are given.
Keywords: hyperbolic equation, differential-difference equation, classical solution, Fourier transform.
Presented: E. I. Moiseev
Received: 06.01.2020
Revised: 06.01.2020
Accepted: 14.02.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 2, Pages 115–116
DOI: https://doi.org/10.1134/S1064562420020246
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. V. Zaitseva, “On global classical solutions of hyperbolic differential-difference equations”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 44–46; Dokl. Math., 101:2 (2020), 115–116
Citation in format AMSBIB
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\transl
\jour Dokl. Math.
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    • This publication is cited in the following 8 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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