Title: Multiple periodic solutions for second order impulsive delay differential equations

Authors: Fatima Dib; Naima Daoudi-Merzagui

Addresses: Department of Mathematics, Superior School of Applied Sciences, Tlemcen 13000, Algeria ' Department of Mathematics, University of Tlemcen, Tlemcen 13000, Algeria

Abstract: In this paper we discuss the existence of periodic solutions for an impulsive nonautonomous second order delay differential equation. We obtain multiple periodic solutions by a variational approach.

Keywords: second order delay differential equation; periodic solution; impulses; mountain pass theorem.

DOI: 10.1504/IJDSDE.2019.101229

International Journal of Dynamical Systems and Differential Equations, 2019 Vol.9 No.3, pp.298 - 312

Received: 23 Nov 2017
Accepted: 18 May 2018

Published online: 25 Jul 2019 *

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