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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
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.
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
Linking options:
https://www.mathnet.ru/eng/danma47 https://www.mathnet.ru/eng/danma/v491/p44
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Abstract page: | 89 | Full-text PDF : | 24 | References: | 11 |
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