Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843193 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 9 Pages |
Abstract
We show the existence of a nontrivial homoclinic orbit and subharmonic solutions for a class of second order difference equations by applying the “Mountain Pass” theorem relying on Ekeland’s variational principle and the diagonal method, and the homoclinic orbit as the limit of the subharmonics. A completely new way is provided for dealing with the existence of solutions for difference equations.
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Authors
Manjun ma, Zhiming Guo,