On the nonoscillatory behavior of solutions of a second order linear differential equation

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28013

Title:	On the nonoscillatory behavior of solutions of a second order linear differential equation
Authors:	Li,HJ;Yeh,CC
Contributors:	數學研究所
Keywords:	OSCILLATION
Date:	1996
Issue Date:	2010-06-29 19:40:10 (UTC+8)
Publisher:	中央大學
Abstract:	In this paper, we improve the Sturm comparison theorem and two nonoscillation criteria of LEIGHTON and WINTNER, and establish two variants of a WINTNER's nonoscillatory criterion of the second order linear differential equation [r(t)u'(t)]'+c(t)u(t) = 0, where r, c: [t(0),infinity) --> IR, r > 0 a.e. on [t(0), infinity) and 1/r, c is an element of L(1)(t(0), b) for each b is an element of (t(0), infinity) for some t(0) greater than or equal to 0. Using these two criteria, we improve some nonoscillation criteria of HARTMAN,; HILLE, MOORE, POTTER. WINTNER, and WILLETT. These proofs are more elegant and concise than those of theirs.
Relation:	MATHEMATISCHE NACHRICHTEN
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	361	View/Open

社群 sharing