非光滑右边波方程混合问题的广义解法

Pub Date : 2024-05-02 DOI:10.1134/S1064562424701898

I. S. Lomov

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引用次数: 0

摘要

摘要在方程右边的最小条件下，构建了波方程混合问题的广义解。解用傅里叶方法表示为一个数列，并求得其和。给出了非均质电报方程混合问题广义解的形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized Solution of a Mixed Problem for the Wave Equation with a Nonsmooth Right-Hand Side

A generalized solution of a mixed problem for the wave equation is constructed under minimal conditions on the right side of the equation. The solution is represented as a series from the Fourier method, and its sum is found. The form of a generalized solution of a mixed problem for an inhomogeneous telegraph equation is given.

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