An oscillation criterion of almost-periodic Sturm-Liouville equations

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28024

Title:	An oscillation criterion of almost-periodic Sturm-Liouville equations
Authors:	Li,HJ;Yeh,CC
Contributors:	數學研究所
Date:	1995
Issue Date:	2010-06-29 19:40:25 (UTC+8)
Publisher:	中央大學
Abstract:	The class Omega subset of L(loc)(1) (R) of Besicovitch almost-periodic functions is the closure of the set of all finite trigonometric polynomials with the Besicovitch seminorm. Consider the half-linear second order differential equation (E) d/dt phi(u'(t)) - lambda c(t)phi(u(t)) = 0, where phi(s) = \s\(p-2) s with p > 1 a fixed number and c(t) epsilon Omega. We show that if M{c} := lim(t-->infinity)(1/t) integral(0)(t) c(s + alpha) ds = 0 and M{\C\} > 0, then (E) is oscillatory at +infinity and -infinity for every lambda epsilon R - {0}.
Relation:	ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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