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论文类型：期刊论文

发表时间：2015-12-01

发表刊物：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录刊物：SCIE、EI、Scopus

卷号：38

期号：18,SI

页面范围：5048-5062

ISSN号：0170-4214

关键字：homoclinic orbit; fountain theorem; dual fountain theorem; damped differential equation

摘要：We investigate the existence and multiplicity of homoclinic orbits for the second- order damped differential equations
   u+g(t)u - L(t)u +W-u(t,u) =0,
   where L(t) and W(t, u) are neither autonomous nor periodic in t. Under certain assumptions on g, L, andW, we get infinitely many homoclinic orbits for superquadratic, subquadratic and concave-convex nonlinearities cases by using fountain theoremand dual fountain theoremin critical point theory. These results generalize and improve some existing results in the literature. Copyright (C) 2015 JohnWiley & Sons, Ltd.