Copyright © 2010 Yongkun Li and Jianwen Zhou. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We present a recent approach via variational methods and critical point theory to obtain the existence of solutions for a class of damped vibration problems on time scale ,
-a.e. , where denotes the delta (or Hilger) derivative of
, , is the forward jump operator, is a positive constant,
, , and . By establishing a proper variational setting, three existence results are obtained. Finally, three examples are presented to illustrate the feasibility and effectiveness of our results.