Multiple positive solutions for a singular Impulsive boundary-value systems with sign changing nonlinearities

  • Meryem Hellal Belhadj Bouchaib University Center-BP 284- (46000) \\. Laboratoire: Syst\`{e}mes Dynamiques et Applications,\\ University of Tlemcen, Algeria


In this paper, we establish the existence of positive solutions to a periodic boundary problem associated to a first-order singular system under impulses effect and when the nonlinearities change sign. Our approach is based on the Krasnoselskii theorem in double cones.