摘要：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 at , , 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.
关键词：Hilbert Space ; Cauchy Sequence ; Functional Differential Equation ; Critical Point Theory ; Positive Periodic Solution
