非线性波动方程对称系统的全局分岔

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-07-10 DOI:10.1016/j.jde.2025.113600

Carlos García-Azpeitia , Ziad Ghanem , Wiesław Krawcewicz

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引用次数: 0

摘要

本文利用等变度理论，建立了一类具有局部时滞和非平凡阻尼的非线性双参数双曲型波动方程解的非平稳分支存在性的全局分岔结果。作为一个激励的例子，我们考虑将我们的结果应用于具有二面体耦合关系的N个相同振动弦的系统。

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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Global bifurcation in symmetric systems of nonlinear wave equations

In this paper, we use the equivariant degree theory to establish a global bifurcation result for the existence of non-stationary branches of solutions to a nonlinear, two-parameter family of hyperbolic wave equations with local delay and non-trivial damping. As a motivating example, we consider an application of our result to a system of N identical vibrating strings with dihedral coupling relations.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics