Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471607 | Applied Mathematics Letters | 2018 | 9 Pages |
Abstract
In this paper, we study the homoclinic solutions of the following second-order Hamiltonian system uÌâL(t)u+âW(t,u)=0,where tâR,uâRN, L:RâRNÃN and W:RÃRNâR. Applying the Mountain Pass Theorem, we prove the existence of nontrivial homoclinic solutions under new weaker conditions. In particular, we use a local super-quadratic condition lim|x|ââW(t,x)|x|2=â, uniformly in tâ(a,b) for some ââ
Related Topics
Physical Sciences and Engineering
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Authors
Xiaoping Wang,