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Analytic solutions of a class of iterative functional differential equations. (English) Zbl 1044.34020

Summary: Analytic solutions are obtained for iterative functional-differential equations that are natural extensions of \(x'=1/x\circ x\). We make use of neutral functional-differential equations with proportional delays as well as neutral differential-difference equations for achieving our purposes.

MSC:

34K05 General theory of functional-differential equations
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