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The Existence of Analytic Solutions of a Functional Differential Equation with State Dependent Argument

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Advanced Research on Computer Science and Information Engineering (CSIE 2011)

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

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Abstract

In this paper the existence of analytic solutions of a functional differential equation with state dependent argument is studied. We obtain results of analytic solutions in the case of α at resonance, and the case of α near resonance under the Brjuno condition.

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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. 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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Liu, L. (2011). The Existence of Analytic Solutions of a Functional Differential Equation with State Dependent Argument. 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_1

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  • DOI: https://doi.org/10.1007/978-3-642-21402-8_1

  • 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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