Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
Yuhua Long ; Yuanbiao Zhang ; Haiping Shi
Open Mathematics, Tome 14 (2016), p. 520-530 / Harvested from The Polish Digital Mathematics Library
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By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and improve some known ones.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:285619 
@article{bwmeta1.element.doi-10_1515_math-2016-0046,
     author = {Yuhua Long and Yuanbiao Zhang and Haiping Shi},
     title = {Homoclinic solutions of 2nth-order difference equations containing both advance and retardation},
     journal = {Open Mathematics},
     volume = {14},
     year = {2016},
     pages = {520-530},
     zbl = {06632378},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0046}
}

Yuhua Long; Yuanbiao Zhang; Haiping Shi. Homoclinic solutions of 2nth-order difference equations containing both advance and retardation. Open Mathematics, Tome 14 (2016) pp. 520-530. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0046/