Oscillation theorems for \(n\)th order nonlinear functional differential equations
type: Item
instance of: scholarly article
title: Oscillation theorems for \(n\)th order nonlinear functional differential equations
zbMATH Open document ID: 0537.34067
DOI: 10.1016/0022-247X(83)90079-3
published in: Journal of Mathematical Analysis and Applications
publication date: 1983-01-01T00:00:00Z
review text: In six theorems and some corollaries the authors describe the oscillatory behavior of the continuable solutions of the n-th order functional differential equation with a nonlinear damping in the form \[ (a(t)x^{(n-1)})^{\cdot}+p(t)| x^{(n-1)}|^{\beta}x^{(n- 1)}+q(t)f(x[g(t)])=0,\quad \beta \geq 0,\quad n\quad even,\quad q>0. \] Several examples are also introduced and a generalization of the results to the equations of the form \[ (a(t)x^{(n-1)})^{\cdot}+p(t)| x^{(n-1)}|^{\beta}x^{(n-1)}+ \] \[ +f(t,x(t),x[g_ 1(t)],...,x[g_ m(t)])=0,\quad \beta \geq 0,\quad n\quad even, \] is considered.
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 3853563
zbMATH Keywords: functional differential equation
zbMATH Keywords: nonlinear damping
zbMATH Keywords: examples
author: Said R. Grace
author: Bikkar S. Lalli
reviewed by: František Neuman
MaRDI profile type: Publication
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full work available at URL: 0022-247x(83)90079-3
OpenAlex ID: W2020874288
description: scientific article; zbMATH DE number 3853563