Smooth Solutions of a Class of Iterative Functional Differential Equations

Houyu Zhao

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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)).

Date: 2012
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https://doi.org/10.1155/2012/954352

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:954352

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