A class of BVPS for first order impulsive functional integro-differential equations with a parameter

This paper is concerned with a class of boundary value problems for the nonlinear impulsive functional integro-differential equations with a parameter by establishing new comparison principles and using the method of upper and lower solutions together with monotone iterative technique. Sufficient conditions are established for the existence of extremal system of solutions for the given problem. Finally, we give an example that illustrates our results

New comparison results for impulsive functional differential equations

AbstractComparison principles play an important role in the qualitative and quantitative study of differential equations. In this paper, we establish new maximum principles for impulsive functional differential equations

Integral boundary value problems for first order integro-differential equations with impulsive integral conditions

AbstractThis paper is concerned with the integral boundary value problems for first order integro-differential equations with impulsive integral conditions. Sufficient conditions are obtained for the existence of extremal solutions