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International Conference on Computer Science, Environment, Ecoinformatics, and Education

CSEE 2011: Advances in Computer Science, Environment, Ecoinformatics, and Education pp 230–235Cite as

Local Analytic Solutions of a Functional Differential Equation Near Resonance

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 215))

Abstract

In this paper, a function differential equation is investigated in the complex field C. The existence of analytic solutions is discussed for some special cases of the above equation. Then, by reducing the equation with the Schröder transformation to the another functional equation with proportional delay, an existence theorem is established for analytic solutions of the original equation.

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References

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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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Editor information

Editors and Affiliations

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

    Song Lin  & Xiong Huang  & 

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© 2011 Springer-Verlag Berlin Heidelberg

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Liu, L. (2011). Local Analytic Solutions of a Functional Differential Equation Near Resonance. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23324-1_37

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  • DOI: https://doi.org/10.1007/978-3-642-23324-1_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23323-4

  • Online ISBN: 978-3-642-23324-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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