Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:366

Article

Wei, Jicheng^1,2  Wang, Jun² 

[1] Chizhou Coll, Dept Math, Chizhou 247000, Anhui, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

关键词: Hamiltonian systems;    Homoclinic orbits;    Variational methods;    (C)(c)-sequence;   

DOI  :  10.1016/j.jmaa.2009.12.024

来源: Elsevier

【 摘 要 】

In this paper we study the following nonperiodic second order Hamiltonian systems -(u) over dot(t) + L(t)u(t) = Delta R(t, u), del t is an element of R, where L(t) may not be uniformly positive definite for all t is an element of R;. Under more general conditions on R(u)(t, u), we prove that the above system has infinitely many homoclinic orbits provided R is even in it. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free