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An iteration method for initial-value problems of retarded differential equations. (English) Zbl 0538.65046
This paper deals with an iterative method for solving the retarded differential equation $$x'(t)=f(t,x(t),\quad x(\alpha(t))),$$ 0$$\leq t\leq T$$, $$\alpha$$ (t)$$\leq t$$, $$x(t)=\phi(t)$$, $$T\leq t\leq 0$$. In this method the above problem is reduced to a sequence of initial-value problems for a system of ordinary differential equations. These systems can be solved using numerical methods for ordinary differential equations.
Reviewer: R.S.Dahiya
##### MSC:
 65L05 Numerical methods for initial value problems 34K05 General theory of functional-differential equations
##### Keywords:
iteration method; retarded differential equations