Boundedness of solutions to a second-order periodic system with p-Laplacian and unbounded perturbation terms

The second-order periodic system with p-Laplacian and unbounded time-dependent perturbation terms is investigated. Using the principle integral method, it is shown that under certain assumptions on the unbounded and periodic terms, all solutions to the equation possess boundedness.

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Publication Details

Journal
Boundary Value Problems
Published
2024-08-19
DOI
https://doi.org/10.1186/s13661-024-01911-w
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

Boundedness of solutions to a second-order periodic system with p-Laplacian and unbounded perturbation terms

Shaoyong Lai, Xiumei Xing, Haiyan Wang
Boundary Value Problems
Differential Equations and Numerical Methods
article

Boundedness of solutions to a second-order periodic system with p-Laplacian and unbounded perturbation terms

Shaoyong Lai, Xiumei Xing, Haiyan Wang
article en

Abstract

The second-order periodic system with p-Laplacian and unbounded time-dependent perturbation terms is investigated. Using the principle integral method, it is shown that under certain assumptions on the unbounded and periodic terms, all solutions to the equation possess boundedness.

Boundary Value ProblemsVol. 2024(1)
Southwestern University of Finance and Economics (CN), Yili Normal University (CN)
National Natural Science Foundation of China
Climate action
Openalex Percentile: Top 79%
Differential Equations and Numerical Methods
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