Analytic Solutions of an Iterative Functional Differential Equation

Ling Xia Liu

doi:10.4028/www.scientific.net/KEM.474-476.2208

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 474-476Analytic Solutions of an Iterative Functional...

Analytic Solutions of an Iterative Functional Differential Equation

Abstract:

This paper is concerned with the existence of analytic solutions of an iterative functional differential equation. By constructing a convergent power series solution of an auxiliary equation, analytic solutions for the original differential equation are obtained. We discuss not only those α at the hyperbolic case 0<|α|<1 but also those α near resonance under Diophantine condition.

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Key Engineering Materials (Volumes 474-476)

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2208-2212

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https://doi.org/10.4028/www.scientific.net/KEM.474-476.2208

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April 2011

Authors:

Ling Xia Liu

Keywords:

Analytic Solution, Diophantine Condition, Iterative Functional Differential Equation, Resonance

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