Paper Title:
Analytic Solutions of a Nonhomogeneous Iterative Functional Differential Equation
  Abstract

This paper is concerned with an iterative functional differential equation with state-dependent delay As well as in previous works, we reduce this problem with the Schroeder transformation to obtain auxiliary equation. For technical reasons, in previous work the constantgiven in the Schroeder transformation, is required to fulfill that is off the unit circle or lies on the circle with the Diophantine condition. In this paper, we discuss not only thoseat a root of the unity, but also those near resonance under the Brjuno condition.

  Info
Periodical
Key Engineering Materials (Volumes 474-476)
Edited by
Garry Zhu
Pages
2155-2160
DOI
10.4028/www.scientific.net/KEM.474-476.2155
Citation
L. X. Liu, "Analytic Solutions of a Nonhomogeneous Iterative Functional Differential Equation", Key Engineering Materials, Vols. 474-476, pp. 2155-2160, 2011
Online since
April 2011
Authors
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Ling Xia Liu
Abstract:In this paper, we study the existence of analytic invariant curves for two-dimensional maps in the complex field C. Employing the method of...
1274
Authors: Ling Xia Liu
Abstract:This paper is concerned with the existence of analytic solutions of an iterative functional differential equation. By constructing a...
2208
Authors: Yi Wu, Zheng Ping Zhang
Chapter 5: Numerical Methods, Computation Methods and Algorithms for Modeling, Simulation and Optimization, Data Mining and Data Processing
Abstract:In this paper, we studied the positive integer solutions of a typical Diophantine equation starting from two basic equations including a...
1483