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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：山东大学
学位：博士
所在单位：数学科学学院
电子邮箱：hanzhiq@dlut.edu.cn
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Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities
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论文类型：期刊论文
发表时间：2011-04-01
发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
收录刊物：Scopus、SCIE、EI
卷号：74
期号：7
页面范围：2635-2646
ISSN号：0362-546X
关键字：Second-order Hamiltonian systems; Homoclinic solutions; Fountain theorem
摘要：In this paper we study the existence of homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities (u) double over dot - L(t)u + W-u(t, u) = 0, where L(t) and W(t, u) are not assumed to be periodic in t. We get, under certain assumptions on L and W, infinitely many homoclinic solutions for both subquadratic and superquadratic cases by using the fountain theorems in critical point theory. (C) 2010 Elsevier Ltd. All rights reserved.