Solution of Some Problems for the String Vibration Equation in a Half-Strip by Quadratures

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-06-05 DOI:10.1134/s0012266124020034

O. M. Jokhadze, S. S. Kharibegashvili

引用次数: 0

Abstract

For the inhomogeneous string vibration equation in a half-strip, we consider a problem periodic in the spatial variable and a mixed problem. The solutions of these problems in the form of finite sums are obtained by quadratures. When solving these problems, we use the characteristic rectangle identity, Riemann invariants, and the method of characteristics.

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用四则运算求解半带弦振动方程的若干问题

摘要对于半长条中的非均质弦振方程，我们考虑了空间变量中的周期问题和混合问题。这些问题的有限和形式的解是通过二次求和得到的。在求解这些问题时，我们使用了矩形特性、黎曼不变式和特性法。

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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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.