Non-degeneracy and Uniqueness of Periodic Solutions for a Liénard Equation with a Linear Difference Operator

被引：0

作者：

Cheng, Zhibo ^{[1
]}

Li, Yafei ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 03期

关键词：

Non-degeneracy; Uniqueness; Periodic solution; Linear difference operator; Lienard equation;

D O I：

10.1007/s12346-024-00973-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the non-degeneracy of a Lienard equation with a linear difference operator by means of the generalized Wirtinger inequality. In addition, by the non-degenerate results and an extension of Mawhin's continuation theorem, the existence and uniqueness of periodic solutions for a Lienard equation with a linear difference operator are proved.

引用

页数：21

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