Existence of nonzero solutions for a class of damped vibration problems with impulsive effects

被引：5
|
作者：
Bai, Liang [1 ]
Dai, Binxiang [2 ]
机构：
[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China
[2] Cent South Technol, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
来源：
APPLICATIONS OF MATHEMATICS | 2014年 / 59卷 / 02期
基金：
中国国家自然科学基金;
关键词：
BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; VARIATIONAL-METHODS; MULTIPLICITY; SYSTEMS;
D O I：
10.1007/s10492-014-0046-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of damped vibration problems with impulsive effects is considered. An existence result is obtained by using the variational method and the critical point theorem due to Brezis and Nirenberg. The obtained result is also valid and new for the corresponding second-order impulsive Hamiltonian system. Finally, an example is presented to illustrate the feasibility and effectiveness of the result.
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页码：145 / 165
页数：21
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