NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2016, 7 (5), P. 869–879
Cauchy problem for some fourth-order nonstrictly hyperbolic equations
V. I. Korzyuk – Institute of Mathematics, Belarusain Academy of Sciences, Belarusian State University, Belarus; firstname.lastname@example.org
N.V. Vinh – Institute of Mathematics, Belarusain Academy of Sciences, Belarusian State University, Belarus; email@example.com
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.