Theoretical Mathematics & Applications

Existence of positive solutions to second-order periodic boundary value problems with impulse actions

  • Pdf Icon [ Download ]
  • Times downloaded: 583
  • Abstract

    In this paper we consider the existence of positive solutions for second-order periodic boundary value problems with impulse actions. By constructing a cone K1 X K2 , which is the Cartesian product of two cones in the space C[0; 2] and computing the fixed point index in the K1 X K2 , we establish the existence of positive solutions for the system.