Nonlinear boundary value problem of first-order impulsive functional differential equations (Q962498)

The authors investigate a nonlinear boundary value problem for a class of first-order impulsive functional differential equations. They establish a new comparison principle and discuss the existence and uniqueness of the solution for first order impulsive functional differential equations with linear boundary conditions. In the next section there are obtained existence results for extremal solutions and unique solution using the method of upper and lower solution and the monotone iterative technique. In the last section there are given two examples to illustrate the abstract results.