An application of variational approach to a class of damped vibration problems with impulsive effects on time scales

被引：0
|
作者：
Zhou, Jianwen [1 ]
Wang, Yanning [1 ]
Li, Yongkun [1 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2015年
关键词：
damped vibration problems; impulse; time scales; 2ND-ORDER HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS; THEOREMS; SPACES;
D O I：
10.1186/s13661-015-0305-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new approach via variational methods and critical point theory to obtain the existence and multiplicity of solutions to a class of damped vibration problems with impulsive effects on time scales. By establishing a proper variational set, two existence results and two multiplicity results are obtained. Finally, one example is presented to illustrate the feasibility and effectiveness of our results.
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页数：25
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