Periodic solutions for a class of asymptotically linear damped vibration problems with resonance at infinity

被引：0

作者：

Wang, Yuanhao ^{[1
]}

Zhang, Zihan ^{[1
]}

Liu, Guanggang ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Morse theory; Damped vibration problems; Periodic solutions; CRITICAL-POINT; EXISTENCE; NONLINEARITIES; SYSTEMS; THEOREM;

D O I：

10.1007/s12346-024-01101-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of asymptotically linear damped vibration problems with resonance at infinity. Compared with the existing results, under this resonance condition the functional corresponding to the problem may not satisfy the compactness condition. By combining the penalized functional technique, Morse theory and two critical point theorems, we obtain the existence and multiplicity of nontrivial periodic solutions.

引用

页数：21

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