The response solution for a class of nonlinear periodic systems under small perturbations

被引：0
|
作者：
Li, Qi [1 ]
Xu, Junxiang [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 142卷
基金：
中国国家自然科学基金;
关键词：
Response solution; Nonlinear degenerate systems; Brouwer topological degree;
D O I：
10.1016/j.aml.2023.108663
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers periodic perturbations of a class of nonlinear degenerate systems. By the technique of introducing external parameters, the implicit function theorem and the theory of Brouwer topological degree, it is proved that the perturbed systems have response solutions if the perturbations are sufficiently small. (c) 2023 Published by Elsevier Ltd.
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页数：6
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