Modified Riccati technique for half-linear differential equations with delay

We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear differential equation. Our proofs are b...

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Bibliographic Details

Published in:	Electronic Journal of Qualitative Theory of Differential Equations
Main Authors:	Simona Fišnarová, Robert Marik
Format:	Article
Language:	English
Published:	University of Szeged 2014-12-01
Subjects:	half-linear differential equation delay equation oscillation criteria modified riccati technique
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3344