National Changhua University of Education Institutional Repository : Item 987654321/17738
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题名: Homoclinics for Asymptotically Quadratic and Superquadratic Hamiltonian Systems
作者: Ding, Yan-Heng;Lee, Cheng
贡献者: 數學系
关键词: Asymptotically quadratic and superquadratic Hamiltonian systems;Infinitely many homoclinics
日期: 2009-09
上传时间: 2013-12-30T06:51:52Z
出版者: Elsevier
摘要: In this paper, we find new conditions, which are different from those used in previous related studies, to ensure the existence of infinitely many homoclinic orbits for the second order Hamiltonian systems of the form Here, we assume that V(t,q) depends periodically on t, and assume, on q, that V(t,q) is asymptotically quadratic at q=0 and is, as |q|→∞, either asymptotically quadratic or superquadratic, as well as the new conditions.
關聯: Nonlinear Analysis: Theory, Methods & Applications, 71(5-6): 1395-1413
显示于类别:[數學系] 期刊論文

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