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Local Analytic Solutions of a Functional Differential Equation

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Advances in Control and Communication

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 137))

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Abstract

Analytic solution are studied for an iterative functional differential equation. For technical reasons, in previous work the constant μ given in the Schröder transformation, is required to satisfy that μ is off the unit circle S 1 or lies on the circle with the Diophantine condition. In this paper, we study results of analytic solutions in the case of μ at a root of the unity and the case of μ near resonance under the Brjuno condition. Analytic solutions of neutral differential-difference equation are also discussed.

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Authors and Affiliations

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

    Lingxia Liu

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  1. Lingxia Liu
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Correspondence to Lingxia Liu .

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Editors and Affiliations

  1. Shenzhen University, Guangdong, 518060, China, People's Republic

    Dehuai Zeng

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© 2012 Springer-Verlag Berlin Heidelberg

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Liu, L. (2012). Local Analytic Solutions of a Functional Differential Equation. In: Zeng, D. (eds) Advances in Control and Communication. Lecture Notes in Electrical Engineering, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-26007-0_33

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  • DOI: https://doi.org/10.1007/978-3-642-26007-0_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-26006-3

  • Online ISBN: 978-3-642-26007-0

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