Solution of some half-strip problems in quadratures for the string vibration equation-Reference-Cited by-同舟云学术

Solution of some half-strip problems in quadratures for the string vibration equation

Published:2024-02-15 Issue:2 Volume:60 Page:175-186
ISSN:0374-0641
Container-title:Дифференциальные уравнения
language:
Short-container-title:Differencialʹnye uravneniâ

Author:

Jokhadze O. M.¹,Kharibegashvili S. S.²

Affiliation:

1. Andrea Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University

2. Georgian Technical University, Department of Mathematics

Abstract

In this paper, for an inhomogeneous string vibration equation, we consider a periodic in spatial variable and a mixed half-strip problems, the solutions of which are written in quadratures in the form of finite sums. When solving these problems we use the characteristic rectangle identity, Riemann invariants and the method of characteristics.

Publisher

The Russian Academy of Sciences

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