Homoclinic solutions for a class of second-order Hamiltonian systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:354

Article

Tang, X. H.¹  Lin, Xiaoyan^1,2 

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

[2] Huaihua Coll, Dept Math, Huaihua 418008, Hunan, Peoples R China

关键词: Homoclinic solutions;    Hamiltonian systems;    Coercive potential;   

DOI  :  10.1016/j.jmaa.2008.12.052

来源: Elsevier

【 摘 要 】

A new result for existence of homoclinic orbits is obtained for the second-order Hamiltonian systems u(t) - L(t)u(t) + del[W(1)(t, u(t)) - W(2) (t, u(t))] = f(t), where t is an element of R, u is an element of R(n) and W(1), W(2) is an element of C(1) (R x R(n), R) and f is an element of C(R, R(n)) are not necessary periodic in t. This result generalizes and improves some existing results in the literature. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free