Oscillation criteria for second-order half-linear ordinary differential equations with damping
type: Item
instance of: scholarly article
title: Oscillation criteria for second-order half-linear ordinary differential equations with damping
zbMATH Open document ID: 1057.34017
author: Chengkui Zhong
author: Xianling Fan
author: Wan-Tong Li
published in: Rocky Mountain Journal of Mathematics
publication date: 2004-05-27T00:00:00Z
review text: The authors state oscillation criteria for the second-order half-linear damped differential equation \[ (r(t)| y'(t)| ^{\alpha-1}y'(t))' +p(t)| y'(t)| ^{\alpha-1}y'(t) +q(t)| y(t)| ^{\alpha-1}=0,\quad t\geq t_0, \] where \(r\in C^1([t_0,\infty);(0,\infty))\), \(p,q\in C[t_0,\infty)\) and \(\alpha>0\). The obtained results are based on an averaging function and are closely related to the results of \textit{Q. Yang} and \textit{S. S. Cheng} [Georgian Math. J. 10, No. 4, 785--797 (2003; Zbl 1050.34043)] established independently.
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 2067058
zbMATH Keywords: half-linear second-order differential equation
zbMATH Keywords: damping term
zbMATH Keywords: oscillation
zbMATH Keywords: Riccati transformation
reviewed by: Zuzana Došlá
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181069936
OpenAlex ID: W2055208219
cites work: Oscillation Theorems for a Second Order Damped Nonlinear Differential Equation
cites work: Oscillation of Solutions of Damped Nonlinear Equations
cites work: The oscillatory behavior of a second order nonlinear differential equation with damping
cites work: Q3360519
cites work: Q4510661
cites work: Q4750126
cites work: Oscillation Theorems for Second Order Nonlinear Differential Equations with Damping
cites work: Q5203351
cites work: Oscillation theorems for nonlinear differential equations of second order
cites work: Oscillation theorems for certain second order perturbed nonlinear differential equations
cites work: Integral averaging techniques for the oscillation of second order nonlinear differential equations
cites work: Q4022826
cites work: Oscillation Theorems for Nonlinear Second Order Differential Equations with a Nonlinear Damping Term
cites work: Addendum: Oscillation Theorems for Nonlinear Second-Order Differential Equations with a Nonlinear Damping Term
cites work: On the oscillation of solutions of linear differential equations
cites work: On Non-Oscillatory Linear Differential Equations of Second Order
cites work: The oscillation of half-linear differential equations with an oscillatory coefficient
cites work: Oscillation theorems for second-order half-linear differential equations
cites work: Q4167008
cites work: Q4509455
cites work: Interval criteria for oscillation of second-order linear ordinary differential equations
cites work: Q4225208
cites work: Oscillation criteria for second order linear differential equations
cites work: Sturmian comparison theorem for half-linear second-order differential equations
cites work: Oscillation criteria for half-linear second order differential equations
cites work: Oscillation of certain second-order nonlinear differential equations
cites work: Positive solutions of second order nonlinear differential equations
cites work: Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations
cites work: Interval oscillation criteria for second-order nonlinear differential equations with damping
cites work: Interval oscillation criteria for a forced second order nonlinear ordinary differential equation
cites work: Oscillation criteria for second-order nonlinear differential equations with damped term
cites work: The distance between zeros of an oscillatory solution to a half-linear differential equation
cites work: Oscillation criteria for second-order half-linear differential equations.
cites work: On some analogs of Sturm's and Kneser's theorems for nonlinear systems
cites work: Oscillation theorems for linear differential equations of second order
cites work: Oscillation criteria for second order nonlinear perturbed differential equations
cites work: Oscillation theorems for second-order equations with damping
cites work: A criterion of oscillatory stability
cites work: A Note on an Oscillation Criterion for an Equation with Damped Term
cites work: Oscillation Theorems for Second Order Linear Differential Equations with Damping
cites work: Oscillation Theorems for Nonlinear Second Order Differential Equations with Damped Term
cites work: Oscillatory behavior of solutions of certain second order nonlinear differential equations
cites work: Q4865360
DOI: 10.1216/RMJM/1181069936
description: scientific article; zbMATH DE number 2067058