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