On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Costa, David G.¹  Tehrani, Hossein¹ 

[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

关键词: Singular Hamiltonian system;    Homoclinic solution;    Periodic coefficients;    Category theory;    Strong-Force condition;   

DOI  :  10.1016/j.jmaa.2013.10.056

来源: Elsevier

【 摘 要 】

We show existence of infinitely many homoclinic orbits at the origin for a class of singular second-order Hamiltonian systems ii + V-u(t,u) = 0, -infinity < t < infinity. We use variational methods under the assumption that V(t, u) satisfies the so-called Strong-Force condition. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free