Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients
type: Item
instance of: scholarly article
title: Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients
zbMATH Open document ID: 0844.34078
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-08-29T00:00:00Z
review text: This paper considers the neutral differential equation with positive and negative coefficients \([x(t) - C(t) x(t - x)]' + P(t) x(t - \tau) - Q(t) x(t - \sigma) = 0\), \(t \geq t_0\) where \(C,P,Q \in C ([t_0, \infty), \mathbb{R}^+)\), \(r > 0\), \(\tau, \sigma \geq 0\). Sufficient conditions are obtained under which every solution of this equation tends to a constant as \(t \to \infty\). Some results in [\textit{G. Ladas}, \textit{Y. G. Sficas} and \textit{I. P. Stavronlakis}, Proc. Am. Math. Soc. 88, 247-253 (1983; Zbl 0521.34070)] and [\textit{G. Ladas} and \textit{Y. G. Sficas}, Hiroshima Math. J. 18, 351-359 (1988; Zbl 0655.34063)] are improved.
reviewed by: Zhicheng Wang
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 861779
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: neutral differential equation
author: Jianhua Shen
author: Jianshe Yu
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1371
OpenAlex ID: W2004326975
DOI: 10.1006/JMAA.1995.1371
description: scientific article; zbMATH DE number 861779