Existence of periodic solutions for a class of $ (\phi_{1}, \phi_{2}) $-Laplacian discrete Hamiltonian systems
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 periodi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023537?viewType=HTML |
| Summary: | 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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| ISSN: | 2473-6988 |