Positive solutions of integro-differential inequalities
type: Item
instance of: scholarly article
title: Positive solutions of integro-differential inequalities
zbMATH Open document ID: 0906.26011
DOI: 10.1016/S0898-1221(97)00207-1
author: Fu-Hsiang Wong
author: Shiueh-Ling Yu
author: Ravi P. Agarwal
publication date: 1999-02-07T00:00:00Z
review text: In the present paper, the authors have studied the nonexistence of positive solutions of the following integrodifferential inequalities \[ (-1)^{n+ 1}y^{(n)}(t)+ \int^t_0 f(t- s,y(s))ds\leq 0 \] on \([0,\infty)\) \((n = 1,2,4)\) assuming that the inequalities \[ -\lambda^n+ \int^\infty_0 e^{\lambda^s} K(s)ds> 0,\quad\text{for all }\lambda>0\quad (n= 1,2,4) \] hold, where \(f\) and \(K\) satisfy certain suitable conditions.
reviewed by: B. G. Pachpatte
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 1192640
zbMATH Keywords: nonexistence of positive solutions
zbMATH Keywords: integrodifferential inequalities
MaRDI profile type: Publication
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full work available at URL: s0898-1221(97)00207-1
OpenAlex ID: W2046236394
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 1192640