On the oscillation criteria for fourth-order \(p\)-Laplacian differential equations with middle term
type: Item
instance of: scholarly article
title: On the oscillation criteria for fourth-order \(p\)-Laplacian differential equations with middle term
zbMATH Open document ID: 1466.35123
DOI: 10.1155/2021/5597947
author: Dandan Yang
author: Chuanzhi Bai
published in: Journal of Function Spaces
publication date: 2021-06-01T00:00:00Z
review text: Summary: In this paper, we study the oscillatory properties of the solutions of a class of fourth-order \(p\)-Laplacian differential equations with middle term. The new oscillation criteria obtained by using the theory of comparison with first- and second-order differential equations and a refinement of the Riccati transformations. The results in this paper improve and generalize the corresponding results in the literatures. Three examples are provided to illustrate our results.
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 7353429
zbMATH Keywords: fourth-order \(p\)-Laplacian
zbMATH Keywords: oscillatory properties of the solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5597947
OpenAlex ID: W3156100393
cites work: Q4495789
cites work: Oscillation criteria for certain fourth order nonlinear functional differential equations
cites work: Oscillation theorems for fourth order functional differential equations
cites work: New oscillation criteria for nonlinear delay differential equations of fourth-order
cites work: Oscillation of fourth-order functional differential equations with distributed delay
cites work: Q4680260
cites work: Oscillation of fourth-order delay differential equations
cites work: Oscillatory applications of some fourth‐order differential equations
cites work: On Hele–Shaw flow of power-law fluids
cites work: Oscillation and asymptotic behavior of higher-order delay differential equations with \(p\)-Laplacian like operators
cites work: Oscillation of fourth-order neutral differential equations with \(p\)-Laplacian like operators
cites work: Twoweak solutions for a singular (p,q)-Laplacian problem
cites work: Singular solutions of a \(p\)-Laplace equation involving the gradient
cites work: A fourth order singular elliptic problem involving \(p\)-biharmonic operator
cites work: Q3381919
cites work: A sequence of radially symmetric weak solutions for some nonlocal elliptic problem in \(\mathbb{R}^N\)
cites work: Oscillation of even-order half-linear functional differential equations with damping
cites work: On the oscillation of certain fourth-order differential equations with \(p\)-Laplacian like operator
cites work: Q5288929
cites work: Oscillation criteria for third-order Emden-Fowler differential equations with unbounded neutral coefficients
cites work: Oscillation of second-order nonlinear neutral dynamic equations on time scales
cites work: Oscillation theorems for second-order nonlinear neutral differential equations
cites work: On the existence of nonoscillatory solutions tending to zero at infinity for differential equations with positive delays
cites work: Oscillation criteria for second-order retarded differential equations
description: scientific article; zbMATH DE number 7353429