Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615671 | Journal of Mathematical Analysis and Applications | 2015 | 16 Pages |
Abstract
This paper considers the Hamiltonian systems with new super-quadratic conditions covering the case Hˆ(t,z)=(|p|1+μν+|q|1+νμ)(ln(1+|z|ξˆ))ηˆ, where ξˆ,ηˆ,μ,ν>1 with 1μ+1ν<1 and μ2ν<νμ<μν<1+νμ. Using the mini-max principle, we obtain the existence of the periodic solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xiaofei Zhang, Fei Guo,