Existence and stability of solutions for neutral differential equations with delay

Impulsive differential equations with delay are widely applied in different subjects, such as theoretical mechanics, chemistry, biology, medicine, cybernetics, and so on. The existence and stability of solutions for functional differential equations were obtained more and more attentions, and the Lyapunov functional analysis and comparative methods were generally used in the solution. This paper discussed the existence and stability of solutions for a certain neutral differential equation with delay using iterative analysis. The results indicated that the solutions of the equation are closely related to the conditions with delay.