Existence of periodic solutions for a class of $ (\phi_{1}, \phi_{2}) $-Laplacian discrete Hamiltonian systems

Autor: Hai-yun Deng, Jue-liang Zhou, Yu-bo He
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 5, Pp 10579-10595 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023537?viewType=HTML
Popis: In this paper, we consider the existence of periodic solutions for a class of nonlinear difference systems involving classical $ (\phi_{1}, \phi_{2}) $-Laplacian. By using the least action principle, we obtain that the system with classical $ (\phi_{1}, \phi_{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.
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