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Zbl 0742.34059
Khristova, Snezhana G.; Bajnov, Drumi D.
(Hristova, S.G.; Bainov, D.D.)
Application of the monotone-iterative techniques of V. Lakshmikantham to the solution of the initial value problem for functional differential equations. (English)
[J] Matematiche 44, No.2, 227-236 (1989). ISSN 0373-3505; ISSN 2037-5298/e

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.
[W.Šeda (Bratislava)]

MSC 2000:: *34K05 General theory of functional-differential equations
34A45 Theoretical approximation of solutions of ODE

Keywords: lower and upper quasisolutions; minimal and maximal quasisolutions; functional differential equation; monotone-iterative technique of V. Lakshmikantham

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