具有超线性条件的阻尼振动系统周期碰撞解的多重性  

Multiplicity of Periodic Bouncing Solutions for Damped Vibration Systems with New Superlinear Conditions

作　　者：王思琪 郭飞 Wang Siqi;Guo Fei(School of Mathematics,Tianjin University,Tianjin 300354,China)

机构地区：[1]天津大学数学学院,天津300354

出　　处：《南开大学学报（自然科学版）》2021年第1期64-72,共9页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by National Natural Science Foundation of China(10901118);Elite Scholar Program in Tianjin University。

摘　　要：运用非光滑对称山路引理以及吴鲜和王少敏建立的一个技术,得到了具有超线性条件的阻尼振动系统非平凡周期碰撞解的多重性结果,且该结果不能被已有结果所包含.Applied the non-smooth version of symmetric mountain pass theorem and a technique established by Wu Xian and Wang Shaomin,the multiplicity of nontrivial periodic bouncing solutions for damped vibration systems-x?=g(t)x?+f(t,x)with new superlinear conditions is obtained,which can not be covered by previous results.

关 键 词：阻尼振动系统 非光滑对称山路引理 超线性条件 周期碰撞解 

分 类 号：O175[理学—数学]