Cauchy problem for some fourth-order nonstrictly hyperbolic equations
https://doi.org/10.17586/2220-8054-2016-7-5-869-879
Аннотация
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.
Об авторах
V. Korzyuk
Institute of Mathematics, Belarusian Academy of Sciences, Belarusian State University
Беларусь
Беларусь
N. Vinh
Institute of Mathematics, Belarusian Academy of Sciences, Belarusian State University
Беларусь
Беларусь
Список литературы
1. Korzyuk V.I., Kozlovskaya I.S. Solution of the Cauchy Problem for a Hyperbolic Equation with Constant Coefficients in the Case of Two Independent Variables. Differential Equations, 2012, 48 (5), P. 700–709.
2. Korzyuk V.I., Kozlovskaya I.S. Solution of the Cauchy Problem for a Hyperbolic Equation for a Homogeneous Differential Operator in the Case of Two Independent Variables. Dokl. NAN Belarusi, 2011, 55 (5), P. 9–13.
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6. Korzyuk V.I., Kozlouskaya I.S., Kozlov A.I. Caushy Problem in Half-Plane for Hyperbolic Equation with Constant Coefficients. In Analytic Methods of Analysis and Differential Equations (AMADE 2012), Cambridge, 2013, P. 45–71.
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Рецензия
Для цитирования:
, . Наносистемы: физика, химия, математика. 2016;7(5):869-879. https://doi.org/10.17586/2220-8054-2016-7-5-869-879
For citation:
Korzyuk V.I., Vinh N.V. Cauchy problem for some fourth-order nonstrictly hyperbolic equations. Nanosystems: Physics, Chemistry, Mathematics. 2016;7(5):869-879. https://doi.org/10.17586/2220-8054-2016-7-5-869-879
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