# zbMATH — the first resource for mathematics

Application of the monotone-iterative techniques of V. Lakshmikantham to the solution of the initial value problem for functional differential equations. (English) Zbl 0742.34059
The problem $$x'(t)=f(t,x(t),x(h(t)))$$, $$t\in[0,T]$$, $$x(t)=\varphi(t)$$, $$t\in[-\alpha,0]$$ is solved by means of the monotone-iterative technique of V. Lakshmikantham.

##### MSC:
 34K05 General theory of functional-differential equations 34A45 Theoretical approximation of solutions to ordinary differential equations