DocumentCode
572303
Title
A Functional Analytic Approach to the Power Series Solutions of an Nonlinear Differential Equations
Author
Xu Liang
Author_Institution
Dept. of Math. & Phys., Chongqing Univ. of Sci. & Technol., Chongqing, China
fYear
2012
fDate
27-29 March 2012
Firstpage
1
Lastpage
4
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Power and Energy Engineering Conference (APPEEC), 2012 Asia-Pacific
Conference_Location
Shanghai
ISSN
2157-4839
Print_ISBN
978-1-4577-0545-8
Type
conf
DOI
10.1109/APPEEC.2012.6307563
Filename
6307563
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