Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615984 | Journal of Mathematical Analysis and Applications | 2014 | 26 Pages |
Abstract
In this paper, we are concerned with a second order non-autonomous Hamiltonian system on time scales TTuΔΔ(ρ(t))+Vu(t,u(t))=f(t),t∈Tκ. Under certain conditions, the existence and multiplicity of periodic solutions are obtained for this Hamiltonian system on time scales by using the saddle point theory, the least action principle as well as the three-critical-point theorem. In addition, the existence of homoclinic orbit is obtained as a limit of 2kT2kT-periodic solutions of a given sequence of Hamiltonian system on time scales by means of the mountain pass theorem and the standard minimizing argument.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Youhui Su, Zhaosheng Feng,