Electron. J. Diff. Equ., Vol. 2015 (2015), No. 204, pp. 1-17.

Nontrivial periodic solutions to second-order impulsive Hamiltonian systems

John R. Graef, Shapour Heidarkhani, Lingju Kong

Abstract:
Based on variational methods and critical point theory, we study the existence of nontrivial periodic solutions to a class of second-order impulsive Hamiltonian systems. A unique feature of the approach used here is that we use a combination of techniques to obtain the existence of multiple solutions.

Submitted June 26, 2015. Published August 10, 2015.
Math Subject Classifications: 34B15, 47J10.
Key Words: Nontrivial periodic solution; impulsive Hamiltonian system; critical point theory; mountain pass theorem; variational methods.

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John R. Graef
Department of Mathematics
University of Tennessee at Chattanooga
Chattanooga, TN 37403, USA
email: John-Graef@utc.edu
Shapour Heidarkhani
Department of Mathematics
Faculty of Sciences, Razi University
Kermanshah 67149, Iran
email: s.heidarkhani@razi.ac.ir
Lingju Kong
Department of Mathematics
University of Tennessee at Chattanooga
Chattanooga, TN 37403, USA
email: Lingju-Kong@utc.edu

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