@article{Deng2023, 
author = {Hai-yun Deng and Jue-liang Zhou and Yu-bo He},
title = {Existence of periodic solutions for a class of    (      ϕ          1        ,      ϕ          2        )-Laplacian discrete Hamiltonian systems},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {10579-10595},
keywords = {(ϕ1, ϕ2)-Laplacian, discrete systems, periodic solutions, the least action principle},
url = {https://www.sciopen.com/article/10.3934/math.2023537},
doi = {10.3934/math.2023537},
abstract = {In this paper, we consider the existence of periodic solutions for a class of nonlinear difference systems involving classical    (      ϕ          1        ,      ϕ          2        )-Laplacian. By using the least action principle, we obtain that the system with classical    (      ϕ          1        ,      ϕ          2        )-Laplacian has at least one periodic solution when potential function is    (  p  ,  q  )-sublinear growth condition, subconvex condition. The results obtained generalize and extend some known works.}
}