Results 251 to 260 of about 6,618,367 (274)

Oscillation of Second Order Half-Linear Differential Equations with Damping

gmj, 2003
Abstract This paper is concerned with a class of second order half-linear damped differential equations. Using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of the existing results.
Yang, Qigui, Cheng, Sui Sun
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Asymptotic formulae for solutions of half-linear differential equations

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Oscillation and Nonoscillation of Half-Linear Differential Equations

2002
In this chapter we shall present oscillation and nonoscillation criteria for second order half-linear differential equations. In recent years these equations have attracted considerable attention. This is largely due to the fact that half-linear differential equations occur in a variety of real world problems; moreover, these are the natural ...
Ravi P. Agarwal, Said R. Grace, Donal O’Regan   +2 more
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On the half-linear second order differential equations

Acta Mathematica Hungarica, 1987
\textit{I. Bihari} [Publ. Math. Inst. Hungar. Acad. Sci. 2, 159-172 (1958; Zbl 0089.068)] defined the half-linear second order differential equation (1) \((p(t)x')'+q(t)f(x,p(t)x')=0\) for the unknown function \(x=x(t)\) where the functions p(t), q(t) are continuous on some interval \(I=[a,b)\) \((- \infty 0\) if \(x\neq 0\) (consequently \(f(0,y)=0 ...
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Oscillation and asymptotics for second-order half-linear differential equations

Applied Mathematics and Computation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Poincaré-Perron problem for half-linear ordinary differential equations

Differential and Integral Equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manabu, Naito, Usami, Hiroyuki
openaire   +1 more source

Interval oscillation of second-order half-linear functional differential equations

Applied Mathematics and Computation, 2004
By employing an inequality due to Hardy, Littlewood and Polya and averaging techniques, new interval oscillation criteria are established for the second-order half-linear functional-differential equation \[ \Big[r(t)| y'(t)| ^{\alpha-1} y'(t)\Big]'+q(t)| y(\tau(t))| ^{\alpha-1}y(\tau(t))=0. \] The presented results show that the term \(\tau(t)=t\pm\tau\
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Exponential estimates for solutions of half-linear differential equations

Acta Mathematica Hungarica, 2015
The paper studies the half-linear differential equation \[ \left(\Phi(y')\right)'=p(t) \Phi(y), \tag{(1)} \] where the function \(p\) is continuous and nonnegative on \([0,\infty)\) and the function \(\Phi\) has the form \[ \Phi(u)=| u| ^{\alpha-1} \text{sgn}\;u, \quad \alpha>1.
openaire   +3 more sources

Oscillation of Half-linear Neutral Delay Differential Equations

2020
In this article, by using the generalized Riccati transformation and the integral average skill, a class of half-linear neutral delay differential equations are researched. A new oscillation criteria are obtained, which generalize and improve the results of some literatures.
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Nonoscillation of the Mathieu-type half-linear differential equation and its application to the generalized Whittaker–Hill-type equation

Monatshefte Fur Mathematik, 2022
Kazuki Ishibashi
exaly