Existence of periodic solutions for a class of ( ϕ 1 , ϕ 2 ) $(\phi _{1},\phi _{2})$ -Laplacian difference system with asymptotically ( p , q ) $(p,q)$ -linear conditions

Existence of periodic solutions for a class of ( ϕ 1 , ϕ 2 ) $(\phi _{1},\phi _{2})$ -Laplacian difference system with asymptotically ( p , q ) $(p,q)$ -linear conditions

Abstract In this paper, we consider a ( ϕ 1 , ϕ 2 ) $(\phi _{1},\phi _{2})$ -Laplacian system as follows: { Δ ϕ 1 ( Δ u ( t − 1 ) ) + ∇ u F ( t , u ( t ) , v ( t ) ) = 0 , Δ ϕ 2 ( Δ v ( t − 1 ) ) + ∇ v F ( t , u ( t ) , v ( t ) ) = 0 , $$\begin{aligned} \textstyle\begin{cases} \Delta \phi _{1} (\Del...

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Bibliographic Details
Main Authors: Hai-yun Deng, Xiao-yan Lin, Yu-bo He
Format: Article
Language:English
Published: SpringerOpen 2024-05-01
Series:Boundary Value Problems
Subjects:
( ϕ 1 , ϕ 2 ) $(\phi _{1},\phi _{2})$ -Laplacian system
Periodic solutions
Asymptotically ( p , q ) $(p,q)$ -linear condition
Mountain pass theorem
Online Access:https://doi.org/10.1186/s13661-024-01868-w

Internet

https://doi.org/10.1186/s13661-024-01868-w

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