V. I. Korzyuk, N. V. Vinh, “Cauchy problem for some fourth-order nonstrictly hyperbolic equations”, Nanosystems: Physics, Chemistry, Mathematics, 2016, Volume 7, Issue 5,Pages <nobr>869

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Cauchy problem for some fourth-order nonstrictly hyperbolic equations

V. I. Korzyuk^a, N. V. Vinh^b

^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

Language: English

DOI: 10.17586/2220-8054-2016-7-5-869-879