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Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay

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  • Jiraphorn Somsuwan
  • Keaitsuda Maneeruk Nakprasit

Abstract

We investigate an analytic solution of the second-order differential equation with a state derivative dependent delay of the form . Considering a convergent power series of an auxiliary equation with the relation , we obtain an analytic solution . Furthermore, we characterize a polynomial solution when is a polynomial.

Suggested Citation

  • Jiraphorn Somsuwan & Keaitsuda Maneeruk Nakprasit, 2015. "Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-8, October.
    • Handle: RePEc:hin:jijmms:904679
    DOI: 10.1155/2015/904679
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    References listed on IDEAS

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    1. Tongbo Liu & Hong Li, 2009. "Analytic Solutions of an Iterative Functional Differential Equation near Resonance," International Journal of Differential Equations, Hindawi, vol. 2009, pages 1-14, June.
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