用四则运算求解半带弦振动方程的若干问题

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

O. M. Jokhadze, S. S. Kharibegashvili

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引用次数: 0

摘要

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

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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