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On the parametrization of the solution set of a functional differential equation. (English) Zbl 0881.34076

The main concern of this paper is the parametrization of the solutions of the following quasilinear functional-differential equation: \({\mathcal L} x=F x\) in the form \(x(t)=(\varphi\alpha)(t)\), where \(\alpha\in \mathbb{R}^n\), and \(\varphi\) is a continuous nonlinear operator. This is done under certain suitable conditions.
Reviewer: M.Lizana (Merida)

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
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