Abstract
In this article we obtain two sequence of infinitely many periodic solutions for discrete second order Hamiltonian systems with an oscillating potential. One sequence of solutions are local minimizers of the functional corresponding to the system, the other sequence are minimax type critical points of the functional.
Highlights
Discrete problems arise in the study of combinatorial analysis, quantum physics, chemical reactions, population dynamics, and so forth
The critical point theory has been a powerful tool in dealing with the existence and multiplicity results
Discrete problems have been studied by many scholars via critical point theory
Summary
Discrete problems arise in the study of combinatorial analysis, quantum physics, chemical reactions, population dynamics, and so forth. The critical point theory has been a powerful tool in dealing with the existence and multiplicity results. Discrete problems have been studied by many scholars via critical point theory.
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