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A Functional Analytic Approach to the Power Series Solutions of an Nonlinear Differential Equations

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1 Author(s)
Xu Liang ; Dept. of Math. & Phys., Chongqing Univ. of Sci. & Technol., Chongqing, China

A functional analytic method was developed by E.K.Ifantis in 1987 to prove that certain non-linear ordinary differential equation (ODEs) have a unique power series solution which converges absolutely in a specified disc of the complex plane. In this thesis, we extended this method to certain systems of two non-linear ordinary differential equations.We then applied the result to an nonlinear differential system and obtained the power series solutions.

Published in:

Power and Energy Engineering Conference (APPEEC), 2012 Asia-Pacific

Date of Conference:

27-29 March 2012