Analytic Solutions of an Iterative Functional Differential Equation near Resonance

Analytic Solutions of an Iterative Functional Differential Equation near Resonance

We investigate the existence of analytic solutions of a class of second-order differential equations involving iterates of the unknown function 𝑥(𝑧)+𝑐𝑥(𝑧)=𝑥(𝑎𝑧+𝑏𝑥(𝑧)) in the complex field ℂ. By reducing the equation with the Schröder transformation to the another functional differential equation...

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Bibliographic Details
Main Authors: Tongbo Liu, Hong Li
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2009/145213
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