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This article is cited in 1 scientific paper (total in 1 paper)
Cauchy problem for some fourth-order nonstrictly hyperbolic equations
V. I. Korzyuka, N. V. Vinhb a Institute of Mathematics, Belarusain Academy of Sciences
b Belarusian State University, Belarus
Abstract:
We describe the analytic solution of the Cauchy problem for some fourth-order linear hyperbolic equations with constant coefficients in a half- plane in the case of two independent variables, assuming certain conditions for the coefficients. Suitable conditions are assumed for the coefficients, and the equation operator is composed of first-order linear operators.
Keywords:
Cauchy problem, analytic solution, fourth-order hyperbolic equations, nonstrictly hyperbolic equations.
Received: 18.04.2016 Revised: 05.05.2016
Citation:
V. I. Korzyuk, N. V. Vinh, “Cauchy problem for some fourth-order nonstrictly hyperbolic equations”, Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016), 869–879
Linking options:
https://www.mathnet.ru/eng/nano292 https://www.mathnet.ru/eng/nano/v7/i5/p869
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Abstract page: | 98 | Full-text PDF : | 37 |
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