Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841117 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 14 Pages |
Abstract
In this paper, we study the Sobolev’s spaces on time scales and their properties. As applications, we present a recent approach via variational methods and the critical point theory to obtain the existence of solutions for a class of second order Hamiltonian systems on time scales. By establishing a proper variational setting, three existence results for systems under consideration are obtained. Finally, three examples are presented to illustrate the feasibility and effectiveness of the existence results.
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Authors
Jianwen Zhou, Yongkun Li,