Ground states for infinite lattices with nearest neighbor interaction

Abstract Sun and Ma (J. Differ. Equ. 255:2534–2563, 2013) proved the existence of a nonzero T-periodic solution for a class of one-dimensional lattice dynamical systems, q i ¨ = Φ i − 1 ′ ( q i − 1 − q i ) − Φ i ′ ( q i − q i + 1 ) , i ∈ Z , $$\begin{aligned} \ddot{q_{i}}=\varPhi _{i-1}'(q_{i-1...

Full description

Bibliographic Details
Main Authors: Peng Chen, Die Hu, Yuanyuan Zhang
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-020-01440-2