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

Abstract

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.

Keywords

• Boundedness of solutions
• Periodic term
• Unbounded perturbation term
• Canonical transformation
• Hamiltonian system