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Smooth Solutions of a Class of Iterative Functional Differential Equations

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Abstract

By Faà di Bruno’s formula, using the fixed‐point theorems of Schauder and Banach, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation x′(t) = 1/(c0x[0](t) + c1x[1](t) + ⋯+cmx[m](t)).

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