文章基本信息

标题：Existence of Solutions for a Class of Damped Vibration Problems on Time Scales
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作者：Yongkun Li ; Jianwen Zhou
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2010
卷号：2010
期号：1
页码：727486
DOI：10.1155/2010/727486
语种：English
出版社：Hindawi Publishing Corporation
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