Variational approach to non-instantaneous impulsive system of differential equations

Riyadh Nesraoui; Dellal Abdelkader; Juan J. Nieto; Abdelghani Ouahab

Riyadh Nesraoui Laboratory of Mathematics, University of Djillali Liabes,
Dellal Abdelkader Universit\'e Ahmed Ben Yahia,\\ El Wancharissi-Tissemsilt
Juan J. Nieto Departamento de An\'alise Matem\'atica, \\ Estat\'{\i}stica e Optimizaci\'on, Facultade de Matem\'aticas, \\ Universidade de Santiago de Compostela,\\ Santiago de Compostela, 15782, Spain
Abdelghani Ouahab Laboratory of Mathematics, Univ Sidi Bel Abbes

Abstract

We study the existence of weak solutions for a class of impulsive nonlinear differential equations with periodic boundary conditions and non-instantaneous impulse. The approach is based on a critical point theorem.

Author Biography

Abdelghani Ouahab, Laboratory of Mathematics, Univ Sidi Bel Abbes

Laboratory of Mathematics, University of Sidi-Bel-Abbes
P.O. Box 89, 22000 Sidi-Bel-Abes, Algeria.