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

We investigate an analytic solution of the second-order differential equation with a state derivative dependent delay of the form x″(z)=x(p(z)+bx′(z)). Considering a convergent power series g(z) of an auxiliary equation γ2g″(γz)g′(z)=[g(γ2z)-p(g(γz))]γg′(γz)(g′(z))2+p′′(g(z))(g′(z))3+γg′(γz)g″(z) wi...

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Bibliographic Details
Main Authors: Jiraphorn Somsuwan, Keaitsuda Maneeruk Nakprasit
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2015/904679
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