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Existence and multiplicity of periodic solutions for damped vibration problems with nonlinearity of linear growth
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2020-05-22 , DOI: 10.1016/j.aml.2020.106502
Guanggang Liu , Shaoyun Shi

In this paper, we study a class of damped vibration problems with nonlinearity of linear growth. We obtain the existence and multiplicity of nontrivial periodic solutions by using the Morse theory and a critical point theorem. Compared with the existing work, our results do not require the system to be asymptotically linear at infinity.



中文翻译:

具有线性增长非线性的阻尼振动问题周期解的存在性和多重性

在本文中,我们研究了一类具有线性增长非线性的阻尼振动问题。利用莫尔斯理论和临界点定理,我们得到了非平凡周期解的存在性和多重性。与现有工作相比,我们的结果不需要系统在无穷远处是渐近线性的。

更新日期:2020-05-22
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