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

Boundary value problems

Jianwen Zhou¹  Yongkun Li¹  Yanning Wang² 

[1] Department of Mathematics, Yunnan University, Kunming, People’s Republic of China

关键词: damped vibration problems;    impulse;    time scales;   

DOI  :  10.1186/s13661-015-0305-9

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY