Abstract:

The uniform existence and quadratic convergence of solution sequences for a class of nonlinear first order impulsive functional differential equations under antiperiodic boundary value conditions with an impulsive integral condition is discussed. The main tools are the monotone iterative technique and the method of quasilinearization.

Key words:  impulsive functional differential equation; impulsive integral condition; monotone iterative technique; quasilinearization method