Homoclinic solutions for a class of nonperiodic and noneven second-order Hamiltonian systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:367

Article

Wu, Dong-Lun¹  Wu, Xing-Ping¹  Tang, Chun-Lei¹ 

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

关键词: Homoclinic solutions;    (C) condition;    Mountain Pass theorem;    Second-order Hamiltonian systems;    Sobolev's embedding theorem;   

DOI  :  10.1016/j.jmaa.2009.12.046

来源: Elsevier

【 摘 要 】

The existence of homoclinic solutions is obtained for second-order Hamiltonian systems -u(t) + L(t)u(t) = del W(t, u(t)) - f(t), as the limit of the solutions of a sequence of nil-boundary-value problems which are obtained by the Mountain Pass theorem, when L(t) and W(t, x) are neither periodic nor even with respect to t. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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