Title of article
Existence of homoclinic orbits for a higher order difference system
Author/Authors
Liu ، Xia - Hunan Agricultural University , Zhou ، Tao - South China University of Technology , Shi ، Haiping - Guangdong Construction Polytechnic
Pages
12
From page
1842
To page
1853
Abstract
By using critical point theory, some new criteria are obtained for the existence of a nontrivial homoclinic orbit to a higher order difference system containing both many advances and retardations. The proof is based on the mountain pass lemma in combination with periodic approximations. Related results in the literature are generalized and improved.
Keywords
Homoclinic orbits , higher order difference systems , critical point theory , advances and retardations.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476513
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