Title :
A Functional Analytic Approach to the Power Series Solutions of an Nonlinear Differential Equations
Author_Institution :
Dept. of Math. & Phys., Chongqing Univ. of Sci. & Technol., Chongqing, China
Abstract :
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.
Keywords :
functional analysis; nonlinear differential equations; AD 1987; complex plane; functional analytic approach; nonlinear ordinary differential equation; power series solutions; Abstracts; Equations; Frequency modulation; Mathematical model; Physics; Vectors;
Conference_Titel :
Power and Energy Engineering Conference (APPEEC), 2012 Asia-Pacific
Conference_Location :
Shanghai
Print_ISBN :
978-1-4577-0545-8
DOI :
10.1109/APPEEC.2012.6307563
