非光滑右边波方程混合问题的广义解法

IF 0.5 4区数学 Q3 MATHEMATICS Doklady Mathematics 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。

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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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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.