National Changhua University of Education Institutional Repository : Item 987654321/17738

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/17738

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17738

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
Issue Date:	2013-12-30T06:51:52Z
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:	[math] Periodical Articles

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