The improvement of Razumikhin type theorems for impulsive functional differential equations Original Research Article

In this paper, by using Lyapunov functions and Razumikhin techniques, the stability of impulsive functional differential equations is investigated. The obtained results avoid the difficulty of constructing a P function in Razumikhin’s condition and they generalize and improve the existing theorems. An example is given to illustrate the importance of the obtained results.