Results 21 to 30 of about 612,872 (266)

Oscillation criteria for second-order half-linear differential equations

Mathematical and Computer Modelling, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jelena Manojlovic
openaire   +4 more sources

Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations

International Journal of Differential Equations, 2022
This paper discusses some sufficient conditions for oscillatory behavior of even-order half-linear neutral differential equation. An example is given to illustrate the main result.
S. Sangeetha, S. K. Thamilvanan, Ethiraju Thandapani   +2 more
doaj   +3 more sources

Perturbations of the half-linear Euler–Weber type differential equation

Journal of Mathematical Analysis and Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Ordinary differential equations in the oscillation theory of partial half-linear differential equation

Journal of Mathematical Analysis and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert Marik
openaire   +4 more sources

Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]

MATEC Web of Conferences, 2019
Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
doaj   +1 more source

Oscillation criteria for fourth order half-linear differential equations [PDF]

Archivum Mathematicum, 2020
In this paper, the following fourth-order differential equation \[(|y^{\prime\prime}|^{\alpha}\operatorname{sgn}(y^{\prime\prime}))^{\prime\prime}+q(t)|y|^{\alpha}\operatorname{sgn}(y)=0,\quad t\geq a>0\] is considered, where \(\alpha\) is a positive constant and \(q:[a,\infty)\to(0,\infty)\) is a continuous function.
Jaroš, Jaroslav, Takaŝi, Kusano, Tanigawa, Tomoyuki   +2 more
openaire   +1 more source

Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations [PDF]

Opuscula Mathematica, 2023
We consider the half-linear differential equation \[(|x'|^{\alpha}\mathrm{sgn}\,x')' + q(t)|x|^{\alpha}\mathrm{sgn}\,x = 0, \quad t \geq t_{0},\] under the condition \[\lim_{t\to\infty}t^{\alpha}\int_{t}^{\infty}q(s)ds = \frac{\alpha^{\alpha}}{(\alpha+1)^
Manabu Naito
doaj   +1 more source

Oscillation of Second Order Nonlinear Neutral Differential Equations

Mathematics, 2022
The study of the oscillatory behavior of solutions to second order nonlinear differential equations is motivated by their numerous applications in the natural sciences and engineering.
Yingzhu Wu, Yuanhong Yu, Jinsen Xiao
doaj   +1 more source

ON CONNECTED HALF-LINEAR DIFFERENTIAL EQUATIONS

Demonstratio Mathematica, 1999
Summary: Relations among several classes of half-linear differential equations with or without delays are established. By means of these connections, the existence of eventually positive solutions can be inferred from the properties of either one of these families of equations.
Zhang, Guang, Cheng, Sui Sun
openaire   +1 more source

On Constants in Nonoscillation Criteria for Half‐Linear Differential Equations [PDF]

Abstract and Applied Analysis, 2011
We study the half‐linear differential equation (r(t)Φ(x′)) ′ + c(t)Φ(x) = 0, where Φ(x) = |x|p−2x, p > 1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille‐Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a ...
Simona Fišnarová, Robert Mařík
openaire   +3 more sources