On oscillation of a Volterra integral equation with delay
type: Item
instance of: scholarly article
title: On oscillation of a Volterra integral equation with delay
zbMATH Open document ID: 0607.45004
DOI: 10.1016/0022-247X(86)90260-X
author: D. C. Angelova
author: Drumi Bainov
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: The authors study the equation \[ x(t)=f(t)+\int^{t}_{a}K(t,s,x(s),x(g(s)))ds,\quad t\geq a, \] and give various monotonicity conditions under which the solutions are bounded or unbounded. In addition, solutions that do not tend to zero at infinity are shown to oscillate slowly, i.e., they change sign infinitely often, and the difference between consecutive zeros tends to infinity as \(t\to \infty\).
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45M05
zbMATH DE Number: 3981796
zbMATH Keywords: nonlinear Volterra equation with delay
zbMATH Keywords: bounded solutions
zbMATH Keywords: unbounded solutions
zbMATH Keywords: oscillating solutions
zbMATH Keywords: monotonicity conditions
MaRDI profile type: Publication
cites work: Q4114303
cites work: Q5567303
cites work: Q5651712
cites work: Q5676559
cites work: Q3876287
description: scientific article; zbMATH DE number 3981796