Existence and uniqueness of analytic solutions of the Shabat equation

Sufficient conditions are given so that the initial value problem for the Shabat equation has a unique analytic solution, which, together with its first derivative, converges absolutely for z∈ℂ:|z|<T, T>0. Moreover, a bound of this solution is given. The sufficient conditions involve only the...

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Bibliographic Details
Main Author: Eugenia N. Petropoulou
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.855
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