一类四阶双曲型模型方程的Riquet问题

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Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI:10.17721/2706-9699.2022.2.01

I. M. Aleksandrovych, S. Lyashko, V. Lyashko, N. I. Lyashko, M. Sidorov

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引用次数: 0

摘要

将任意函数转化为二阶或高阶双曲方程的正则解的积分算子应用于求解边值问题。特别地，提出并求解了四阶Euler-Poisson-Darboux方程的Riquet问题。

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RIQUET PROBLEM FOR ONE MODEL EQUATION OF THE 4TH ORDER HYPERBOLIC TYPE

Integral operators that transform arbitrary functions into regular solutions of hyperbolic equations of the second and higher orders are applied to solving boundary value problems. In particular, the Riquet problem for the Euler–Poisson–Darboux equation of the 4th order is posed and solved.

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来源期刊

Journal of Numerical and Applied Mathematics MATHEMATICS, APPLIED-

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