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http://ir.ncue.edu.tw/ir/handle/987654321/17738
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Title: | Homoclinics for Asymptotically Quadratic and Superquadratic Hamiltonian Systems |
Authors: | Ding, Yan-Heng;Lee, Cheng |
Contributors: | 數學系 |
Keywords: | Asymptotically quadratic and superquadratic Hamiltonian systems;Infinitely many homoclinics |
Date: | 2009-09
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Issue Date: | 2013-12-30T06:51:52Z
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Publisher: | Elsevier |
Abstract: | 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. |
Relation: | Nonlinear Analysis: Theory, Methods & Applications, 71(5-6): 1395-1413 |
Appears in Collections: | [數學系] 期刊論文
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