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; korzyuk@bsu.by
N.V. Vinh – Institute of Mathematics, Belarusain Academy of Sciences, Belarusian State University, Belarus; vinhnguyen0109@gmail.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.
DOI 10.17586/2220-8054-2016-7-5-869-879
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