Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

Yuhua Long, Yuanbiao Zhang, and Haiping Shi. "Homoclinic solutions of 2nth-order difference equations containing both advance and retardation." Open Mathematics 14.1 (2016): 520-530. <http://eudml.org/doc/285619>.

@article{YuhuaLong2016,
abstract = {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.},
author = {Yuhua Long, Yuanbiao Zhang, Haiping Shi},
journal = {Open Mathematics},
keywords = {Homoclinic solutions; 2nth-order; Nonlinear difference equations; Discrete variational theory; homoclinic solutions; 2$n$th-order; nonlinear difference equations; discrete variational theory},
language = {eng},
number = {1},
pages = {520-530},
title = {Homoclinic solutions of 2nth-order difference equations containing both advance and retardation},
url = {http://eudml.org/doc/285619},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Yuhua Long
AU - Yuanbiao Zhang
AU - Haiping Shi
TI - Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 520
EP - 530
AB - 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.
LA - eng
KW - Homoclinic solutions; 2nth-order; Nonlinear difference equations; Discrete variational theory; homoclinic solutions; 2$n$th-order; nonlinear difference equations; discrete variational theory
UR - http://eudml.org/doc/285619
ER -