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

Jiraphorn Somsuwan and Keaitsuda Maneeruk Nakprasit

International Journal of Mathematics and Mathematical Sciences, 2015, vol. 2015, 1-8

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:904679

DOI: 10.1155/2015/904679

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