On oscillatory behavior of solutions of second order functional differential equations
type: Item
instance of: scholarly article
title: On oscillatory behavior of solutions of second order functional differential equations
zbMATH Open document ID: 0808.34075
DOI: 10.1016/0096-3003(94)90081-7
published in: Applied Mathematics and Computation
publication date: 1994-10-13T00:00:00Z
review text: The author considers the following functional-differential equation (1) \((a(t) \psi (x(t)) x'(t))' + P(t,x(t), x'(t)) + Q(t,x[g(t)]) = e(t)\), where \(a,e : [t_ 0, \infty) \to [0, \infty)\), \(\psi:\mathbb{R}\to\mathbb{R}\), \(P : [t_ 0, \infty) \times\mathbb{R}\to\mathbb{R}\), \(Q : [t_ 0, \infty) \times\mathbb{R}\to\mathbb{R}\) are continuous, \(a(t) > 0\), \(g(t) \to \infty\) as \(t \to \infty\). In the paper the oscillatory and asymptotic behavior of solutions of (1) is discussed. The obtained results extend some of those in the literature.
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 637516
zbMATH Keywords: functional-differential equation
zbMATH Keywords: oscillatory and asymptotic behavior
author: M. M. A. El-Sheikh
reviewed by: Jan Ohriska
MaRDI profile type: Publication
full work available at URL: 0096-3003(94)90081-7
OpenAlex ID: W2016403007
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description: scientific article; zbMATH DE number 637516