Existence and multiplicity of homoclinic solutions for difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi_{2})$ -Laplacian and a parameter

Existence and multiplicity of homoclinic solutions for difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi_{2})$ -Laplacian and a parameter

Abstract In this paper, we investigate the existence and multiplicity of homoclinic solutions for a class of nonlinear difference systems involving classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi _{2})$ -Laplacian and a parameter: { Δ ( ρ 1 ( n − 1 ) ϕ 1 ( Δ u 1 ( n − 1 ) ) ) − ρ 3 ( n ) ϕ 3 ( u 1 ( n ) ) +...

Full description

Bibliographic Details
Main Authors: Xingyong Zhang, Chi Zong, Haiyun Deng, Liben Wang
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Advances in Difference Equations
Subjects:
difference systems
classical ( ϕ 1 , ϕ 2 ) $(\phi_{1},\phi_{2})$ -Laplacian
homoclinic solutions
variational method
Online Access:http://link.springer.com/article/10.1186/s13662-017-1419-4

Internet

http://link.springer.com/article/10.1186/s13662-017-1419-4

Similar Items