On the nonexistence of positive solutions of integro-differential inequalities

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28012

Title:	On the nonexistence of positive solutions of integro-differential inequalities
Authors:	Wong,FH;Yeh,CC;Yu,SL
Contributors:	數學研究所
Keywords:	INTEGRODIFFERENTIAL EQUATIONS;OSCILLATIONS
Date:	1996
Issue Date:	2010-06-29 19:40:08 (UTC+8)
Publisher:	中央大學
Abstract:	In this paper we show that, under suitable conditions on f and K, the inequalities -lambda + theta integral(0)(infinity) epsilon(lambda s) K(s) ds > 0 for all lambda 0 and -lambda(2) + theta integral(0)(infinity) e(lambda s) K(s) ds > 0 for all lambda > 0 imply the integro-differential inequalities y'(t) + integral(0)(t) K(t - s)f(y(s)) ds less than or equal to 0 on (T, infinity) and y ''(t) - integral(0)(t) K(t - s)f(y)s)) ds greater than or equal to 0 on [T, infinity) have no positive solution, respectively, where f(y)ly greater than or equal to theta > 0 in some interval (0, y(0)). We also point out that the function f cannot be a superlinear function, that is, f(y) not equal y beta for beta is an element of (1, infinity).
Relation:	ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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