2016
DOI: 10.12732/ijpam.v109i1.7
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Multiple Periodic Solutions for Perturbed Second-Order Impulsive Hamiltonian Systems

Abstract: The existence of three distinct periodic solutions for a class of perturbed impulsive Hamiltonian systems is established. The techniques used in the proofs are based on variational methods.

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Cited by 6 publications
(3 citation statements)
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“…Moreover, by adopting the same hypotheses on the potential and in presence of suitable small perturbations, the same conclusion is achieved. We refer to [7,[27][28][29][30][31]33] in which existence results for BVPs employing Ricceri's variational principle and its variants were established.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, by adopting the same hypotheses on the potential and in presence of suitable small perturbations, the same conclusion is achieved. We refer to [7,[27][28][29][30][31]33] in which existence results for BVPs employing Ricceri's variational principle and its variants were established.…”
Section: Introductionmentioning
confidence: 99%
“…For more details on Theorem 2.1, we refer the readers to [17,18], where the theorem has already been applied to nonlinear secondorder differential equations problems. We also refer to [19,20,21] in which, Theorems 2.1 and 2.2 along with the mountain pass theorem have been successfully employed to ensure multiple solutions for some boundary value problems. We also refer the reader to the papers [22,23] in which based on variational methods and critical point theory, the existence of multiple solutions for boundary value problems was discussed.…”
Section: Introductionmentioning
confidence: 99%
“…In [11,18,19,24] using variational methods and critical point theory the existence of multiple solutions for a class of perturbed second-order impulsive Hamiltonian systems was discussed.…”
Section: Introductionmentioning
confidence: 99%