Results 241 to 250 of about 612,872 (266)

Rectifiable oscillations in second-order half-linear differential equations [PDF]

Annali di Matematica Pura ed Applicata, 2008
Second-order half-linear differential equation (H): on the finite interval I = (0, 1] will be studied, where , p > 1 and the coefficient f(x) > 0 on I, , and . In case when p = 2, the equation (H) reduces to the harmonic oscillator equation (P): y′ ′ + f(x)y = 0.
Pašić, Mervan, Wong, James S. W.
openaire   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

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
openaire   +1 more source

A half-linear differential equation and variational problem

Nonlinear Analysis: Theory, Methods & Applications, 2001
The author investigates the variational problem with general boundary conditions whose corresponding Euler-Lagrange equation is the half-linear differential equation \[ (r(t)\Phi(y'))'+q(t)\Phi(y)=0, \] with \(\Phi(u)=|u|^{p-2}u\), \(p>1\) a constant, \(r,q\) real-valued continuous functions defined on a compact interval \(I=[a,b]\), and \(r(t)>0\) on \
openaire   +2 more sources

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 ...
openaire   +1 more source

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.
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\
openaire   +1 more source

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 second order half linear neutral differential equations

Journal of Interdisciplinary Mathematics, 2021
Sattar Naser Ketab, Banen Wafaa Abdullah
openaire   +1 more source

Kneser-type oscillation criteria for second-order half-linear delay differential equations

Applied Mathematics and Computation, 2020
Irena Jadlovská, Jozef Džurina
exaly  

Half-Linear Differential Equations

2005
openaire   +1 more source