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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Bibliographic Details
Published inBoundary value problems Vol. 2024; no. 1; pp. 103 - 13
Main Authors Xing, Xiumei, Wang, Haiyan, Lai, Shaoyong
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 19.08.2024
Hindawi Limited
SpringerOpen
Subjects
Analysis
Approximations and Expansions
Boundary value problems
Boundedness of solutions
Canonical transformation
Coordinate transformations
Difference and Functional Equations
Hamiltonian system
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Periodic term
Perturbation
Unbounded perturbation term
Unbounded perturbation term
34C55
Boundedness of solutions
Periodic term
Hamiltonian system
70H08
Canonical transformation
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Summary: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.
ISSN:1687-2762
1687-2770
DOI:10.1186/s13661-024-01911-w