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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
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