Title of article
Existence of solutions to boundary value problems for a higher-dimensional difference system
Author/Authors
Zhou ، Tao - South China University of Technology , Liu ، Xia - Hunan Agricultural University , Shi ، Haiping - Guangdong Construction Polytechnic
Pages
9
From page
5576
To page
5584
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
Boundary value problems , higher , dimensional , mountain pass lemma , critical point theory
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476751
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