THE EXISTENCE OF ONE WEAK SOLUTION FOR A SECOND-ORDER IMPULSIVE HAMILTONIAN SYSTEM

Authors

  • H. Haghshenas Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Author
  • G. A. Afrouzi Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Author

Keywords:

Weak solution, impulsive Hamiltonian system, critical point theory, variational methods

Subjects:

34B15, 47J10

Abstract

In this work, we are concerned with the existence of at least one non-trivial weak solution for a second-order impulsive Hamiltonian system. The proof of the main result is based on the critical point theory.

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Published

2020-10-15