Oscillation and nonoscillation of advanced differential equations with variable coefficients
type: Item
instance of: scholarly article
title: Oscillation and nonoscillation of advanced differential equations with variable coefficients
zbMATH Open document ID: 1013.34067
DOI: 10.1016/S0022-247X(02)00029-X
author: Xianyi Li
author: Deming Zhu
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-09-08T00:00:00Z
review text: The authors study the scalar advanced delay differential equations \(x'(t)-p(t)x(t+\tau)=0\) and \(x'(t)-\sum_{i=1}^n p_i(t) x(t+\tau_i)=0 \) with positive constants \(\tau,\tau_i\) and nonnegative continuous functions \(p, p_i\). Sharp sufficient conditions are shown for the oscillation and nonoscillation of the solutions. The results improve and extend the corresponding ones of \textit{G. Ladas} and \textit{I. P. Stavroulakis} [J. Differ. Equations 44, 134-152 (1982)].
reviewed by: Tibor Krisztin
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 1797492
zbMATH Keywords: oscillation
zbMATH Keywords: nonoscillation
zbMATH Keywords: advanced differential equation
zbMATH Keywords: variable coefficient
MaRDI profile type: Publication
cites work: Q4000352
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cites work: Q4836479
cites work: Oscillations of delay differential equations with variable coefficients
cites work: Oscillations caused by several retarded and advanced arguments
cites work: On even-order functional differential equations with advanced and retarded arguments
cites work: Some comparison and oscillation results for first-order differential equations and inequalities with a deviating argument
cites work: Q3961172
full work available at URL: s0022-247x(02)00029-x
OpenAlex ID: W1976267167
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description: scientific article; zbMATH DE number 1797492