Boundary value problem for first order impulsive functional integro-differential equations

  • Authors:
  • Lihong Zhang

  • Affiliations:
  • -

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2011

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Abstract

This paper investigates extremal solutions of the boundary value problem for impulsive functional integro-differential equations with nonlinear boundary conditions and deviating arguments. In the presence of a lower solution u and an upper solution v with u=v, existence of extremal solutions is proved by establishing a new comparison principle and using the monotone iterative technique.