Oscillation theorems of nonlinear Volterra-Stieltjes integral equations
type: Item
instance of: scholarly article
title: Oscillation theorems of nonlinear Volterra-Stieltjes integral equations
zbMATH Open document ID: 0848.45005
author: Zhi Min Jiang
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-10-24T00:00:00Z
review text: The oscillatory behavior of solutions to the nonlinear Volterra-Stieltjes integral equation \[ p(t) \psi (y) y'_+ (t)= c+ \int^t_0 f(y (s)) d\sigma (s) \] is considered. \(y'_+ (t)\) denotes the right derivative of \(y(t)\), \(p(t)> 0\) and \(\sigma (t)\) are right-continuous and of locally bounded variation on \([0, \infty)\), \(\psi: (- \infty, \infty)\to [0, \infty)\) is a continuous and \(f: (- \infty, \infty)\to (- \infty, \infty)\) is a continuously differentiable function. Some properties for the non-oscillatory solution are also given.
Mathematics Subject Classification ID: 45M15
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 861838
zbMATH Keywords: oscillation
zbMATH Keywords: nonlinear Volterra-Stieltjes integral equations
reviewed by: Izabela Foltyńska
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1430
OpenAlex ID: W2048983750
DOI: 10.1006/JMAA.1995.1430
description: scientific article; zbMATH DE number 861838