A MAXIMUM PRINCIPLE FOR 2ND-ORDER NONLINEAR DIFFERENTIAL-INEQUALITIES AND ITS APPLICATIONS

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28022

Title:	A MAXIMUM PRINCIPLE FOR 2ND-ORDER NONLINEAR DIFFERENTIAL-INEQUALITIES AND ITS APPLICATIONS
Authors:	WONG,FH;YEH,CC;YU,SL
Contributors:	數學研究所
Date:	1995
Issue Date:	2010-06-29 19:40:23 (UTC+8)
Publisher:	中央大學
Abstract:	Let y(t) be a nontrivial solution of the second order differential inequality y(t){(r(t)y'(t))' + f(t,y(t))} less than or equal to 0. We show that the zeros of y(t) are simple; y(t) and y'(t) have at most finite number of zeros on any compact interval [a,b] under suitable conditions on r and f. Using the main result, we establish some nonlinear maximum principles and a nonlinear Levin's comparison theorem, which extend some results of Protter, Weinberger, and Levin.
Relation:	APPLIED MATHEMATICS LETTERS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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