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Existence of nontrivial homoclinic orbits for fourth-order difference equations |
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| Authors: | Hui Fang Dapeng Zhao |
| Affiliation: | Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan 650093, China |
| Abstract: | We obtain a sufficient condition for the existence of nontrivial homoclinic orbits for fourth-order difference equations by using Mountain Pass Theorem, a weak convergence argument and a discrete version of Lieb’s lemma. |
| Keywords: | Fourth-order difference equations Homoclinic orbits Mountain Pass Theorem Discrete version of Lieb&rsquo s lemma |
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