A Riccati technique for proving oscillation of a half-linear equation

In this paper we study the oscillation of solutions to the half-linear differential equation $$ (r(t)|y'|^{p-1}hbox{sgn} y)'+c(t)|y|^{p-1}hbox{sgn} y=0, $$ under the assumptions $int^infty r^{1/(1-p)}(s),ds<infty$, $r(t)>0$, $p>1$. Our main tool is a Riccati type transform...

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Bibliographic Details
Main Author: Pavel Rehak
Format: Article
Language:English
Published: Texas State University 2008-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/105/abstr.html