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An Application of Variational Approach to Delay Hamiltonian Systems on Time Scales with Impulses

An Application of Variational Approach to Delay Hamiltonian Systems on Time Scales with Impulses In this paper, we present a recent approach via variational methods and critical point theory to obtain the existence of periodic solutions for a class of delay Hamiltonian systems on time scales with impulsive effects. The variational principle is given, and some existence theorems and two multiplicity results of periodic solutions are obtained. Finally, one example is presented to illustrate the feasibility and effectiveness of our results. Our results are new even in both the differential equations case and the difference equations case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

An Application of Variational Approach to Delay Hamiltonian Systems on Time Scales with Impulses

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References (27)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-015-0149-6
Publisher site
See Article on Publisher Site

Abstract

In this paper, we present a recent approach via variational methods and critical point theory to obtain the existence of periodic solutions for a class of delay Hamiltonian systems on time scales with impulsive effects. The variational principle is given, and some existence theorems and two multiplicity results of periodic solutions are obtained. Finally, one example is presented to illustrate the feasibility and effectiveness of our results. Our results are new even in both the differential equations case and the difference equations case.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Jul 2, 2015

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