Note on the uniqueness of a global positive solution to the second Painleve equation

The purpose of this note is to study the uniqueness of solutions to $ u'' -u^3 + (t-c)u = 0$, for $ t in (0,+infty)$ with Neumann condition at 0. Assuming a certain conditon at infinity, Helfer and Weissler [6] have found a unique solution. We show that, without any assumptions at infinity...

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Bibliographic Details
Main Author: Mohammed Guedda
Format: Article
Language:English
Published: Texas State University 2001-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2001/49/abstr.html