MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
THE EXISTENCE OF ONE WEAK SOLUTION FOR A SECOND-ORDER IMPULSIVE HAMILTONIAN SYSTEM
H. Haghshenas, G. A. Afrouzi

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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Keywords: Weak solution; impulsive Hamiltonian system; critical point theory; variational methods.

MSC: 34B15, 47J10

Pages:  358$-$367     

Volume  72 ,  Issue  4 ,  2020