Asymptotic behavior and oscillations of second order differential equations with deviating argument
type: Item
instance of: scholarly article
title: Asymptotic behavior and oscillations of second order differential equations with deviating argument
zbMATH Open document ID: 0863.34071
author: Sawsan M. Aziz
author: A. H. Nasr
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-07-14T00:00:00Z
review text: The equation \[ (a(t)x')+ b(t)x'(t)+ c(t)x(t)= f(t,x(t),x'(t), x(\Phi(t)), x'(\Phi(t)))\tag{1} \] is considered, where \(a,b,c,\Phi\) are continuous functions defined on \(\mathbb{R}_+\) and \(f\) is continuous on \(\mathbb{R}_+\times \mathbb{R}^4\). Under certain restrictions, the behaviour of solutions of (1) as \(t\to+\infty\) is studied.
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 902451
zbMATH Keywords: asymptotic behavior
reviewed by: Roman Koplatadze
MaRDI profile type: Publication
OpenAlex ID: W1991107335
DOI: 10.1006/JMAA.1996.0031
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description: scientific article; zbMATH DE number 902451