Sturmian comparison theorem for half-linear second-order differential equations

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28036

Title:	Sturmian comparison theorem for half-linear second-order differential equations
Authors:	Li,HJ;Yeh,CC
Contributors:	數學研究所
Date:	1995
Issue Date:	2010-06-29 19:40:42 (UTC+8)
Publisher:	中央大學
Abstract:	Let phi:R-->R be defined by phi(s)=\s\(p-2)s, with p > 1 a fixed number. We extend Sturm Comparison Theorem of the linear differential equation d/dt[r(t)u'(t)] + c(t)u(t) = 0 to the nonlinear differential equation (E) d/dt{r(t)phi(u'(t))} + c(t)phi(u(t)) = 0, by using the Wirtinger inequality. A Lyapunov inequality and some oscillation criteria of(E) are also given.
Relation:	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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