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International Conference on Computer Science and Information Engineering

CSIE 2011: Advanced Research on Computer Science and Information Engineering pp 152–158Cite as

Analytic Solutions of a Class of Iterative Functional Differential Equation Near Resonance

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 152))

Abstract

This paper is concerned with a functional differential equation. By reducing the equation with the Schröder transformation to another functional differential equation, an existence theorem is established for analytic solutions of the original equation. For the constant α given in the Schröder transformation, we discuss α near resonance under the Brjuno condition. Furthermore, we discuss analytic solutions of the differential-difference equation.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Weifang University, Weifang, Shandong, 261061, P.R. China

    LingXia Liu

Authors
  1. LingXia Liu
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Editors and Affiliations

  1. Wuhan University of Science and Technology, Zhongnan Branch, No.18, Jiangxia Road, Wuhan, China

    Gang Shen

  2. International Science & Education Researcher Association, Wuhan Branch, No.1, Jiangxia Road, Wuhan, China

    Xiong Huang

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© 2011 Springer-Verlag Berlin Heidelberg

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Liu, L. (2011). Analytic Solutions of a Class of Iterative Functional Differential Equation Near Resonance. In: Shen, G., Huang, X. (eds) Advanced Research on Computer Science and Information Engineering. CSIE 2011. Communications in Computer and Information Science, vol 152. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21402-8_25

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  • DOI: https://doi.org/10.1007/978-3-642-21402-8_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21401-1

  • Online ISBN: 978-3-642-21402-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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