Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations

被引：3
|
作者：
Jiang, Ke [1 ]
Cao, Feng [2 ]
机构：
[1] Guizhou Univ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 74卷
基金：
中国国家自然科学基金;
关键词：
equation; Lyapunov stability; Eigenvalues; Lyapunov-type criterion; Periodic generalized Camassa-Holm; SHALLOW-WATER EQUATION; CONTINUOUS DEPENDENCE; PEAKON; SYSTEM;
D O I：
10.1016/j.nonrwa.2023.103940
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Lyapunov stability of the periodic generalized Camassa-Holm equation in terms of the periodic/anti-periodic eigenvalues and the associated spectral intervals. Moreover, we establish a Lyapunov-type stability criterion based on the Floquet theory and a Lyapunov-type inequality.& COPY; 2023 Elsevier Ltd. All rights reserved.
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页数：14
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