THE SOLUTION OF CAUCHY PROBLEM FOR THE HYPERBOLIC DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER BY THE RIMAN METHOD

DOI10.18287/2541-7525-2019-25-3-33-38zbMath1458.35261OpenAlexW3008742703MaRDI QIDQ3387482

A. V. Tarasenko, Yu. O. Yakovleva

Publication date: 13 January 2021

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu610

zbMATH Keywords

regular solutionhypergeometric functions of matrix argumentmatrix of Riemannmethod of Riemannsystem of hyperbolic differential equations of fourth order

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Higher-order hyperbolic equations (35L25) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (2)

Метод Римана для уравнений с доминирующей частной производной ⋮ On exact solution of a hyperbolic system of differential equations

Cites Work

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• Cauchy problems for two partial differential equations
• Pseudoparabolic equation of the third order
• The Riemann function for higher-order hyperbolic equations and systems with dominated lower-order terms
• Задача Гурса для одной системы гиперболических дифференциальных уравнений третьего порядка с двумя независимыми переменными

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