具有非线性耦合的空间非齐次波动方程系统的时间周期解

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-12-30 DOI:10.1016/j.aml.2024.109448

Jiayu Deng, Jianhua Liu, Shuguan Ji

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引用次数: 0

摘要

研究一类具有非线性耦合的空间非齐次波动方程系统周期解的存在性。本研究的主要贡献在于耦合项是非线性的。对于形式为T=2π2a−1b （a，b为正整数）的周期，应用对偶变分方法，建立了Sturm-Liouville边界条件下时间周期解的存在性。据我们所知，很少有论文关注具有非线性耦合的空间非齐次波动方程系统周期解的存在性。

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Time periodic solution for a system of spatially inhomogeneous wave equations with nonlinear couplings

This paper is concerned with the existence of periodic solution for a system of spatially inhomogeneous wave equations with nonlinear couplings. The main contribution of this research lies in the fact that the coupled terms are nonlinear. For the periods having the form T=2π2a−1b (a,b are positive integers), by applying the dual variational method, we establish the existence of the time periodic solution under some Sturm–Liouville boundary conditions. To our knowledge, there is rarely papers focus on the existence of periodic solution for a system of spatially inhomogeneous wave equations with nonlinear couplings.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.