Forced oscillation of \(n\)th-order nonlinear differential equations
type: Item
instance of: scholarly article
title: Forced oscillation of \(n\)th-order nonlinear differential equations
zbMATH Open document ID: 0958.34050
DOI: 10.1016/S0893-9659(00)00076-8
author: Ravi P. Agarwal
author: Said R. Grace
published in: Applied Mathematics Letters
publication date: 2000-11-13T00:00:00Z
review text: The authors state new oscillation criteria for forced nonlinear equations \[ (x^{(n)}(t)-q(t)|x(t)|^\lambda \text{ sgn}x(t)=f(t),\quad \lambda>1, \tag{*} \] with \(n\geq 1\), the functions \(f,q\) are continuous on \((t_0,\infty)\) and \(q(t)>0\) for \(t\geq t_0\). Examples illustrate that the forcing term \(f\) is not required to be small. There are also established new oscillation criteria for forced nonlinear neutral equations.
reviewed by: Zuzana Došlá
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 1528561
zbMATH Keywords: oscillation
zbMATH Keywords: forced equation
zbMATH Keywords: neutral equation
MaRDI profile type: Publication
cites work: Maintenance of Oscillations Under the Effect of a Periodic Forcing Term
cites work: Q4134269
cites work: Oscillation of functional differential equations with general deviating arguments
cites work: Q4039929
cites work: Oscillation theorems for nonlinear differential equations of second order
cites work: Oscillation theorems for linear differential equations of second order
cites work: Second Order Nonlinear Forced Oscillations
Recommended article: Q4650768
Recommended article: Forced oscillation of \(n\)th-order nonlinear differential equations.
Recommended article: Forced oscillation of higher-order nonlinear differential equations
Recommended article: Forced oscillation of \(n\)th-order functional differential equations
Recommended article: Oscillation of higher-order forced nonlinear differential equations
Recommended article: Oscillation ofnth Order Forced Functional Differential Equations
Recommended article: Forced oscillation of higher order nonlinear difference equations
Recommended article: Q4688666
Recommended article: Q3519827
Recommended article: Q4930500
description: scientific article; zbMATH DE number 1528561