Results 251 to 260 of about 5,415,402 (276)

Asymptotic formulae for solutions of half-linear differential equations

Applied Mathematics and Computation, 2017
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Integral condition for oscillation of half-linear differential equations with damping

Applied Mathematics Letters, 2018
The authors study the second-order nonlinear differential equation \[ (\Phi_p(x'))'+a(t)\Phi_p(x')+b(t)\Phi_p(x)=0, \tag{1} \] where \(a\) and \(b\) are locally integrable functions on \([0,\infty)\) and \(\Phi_p\) is a real-valued function defined by \[ \Phi_p(z)=\left\{ \begin{array}{cl} \displaystyle |z|^{p-2}z &\;\text{if}\; z\neq 0,\\ 0 &\;\text ...
Jitsuro Sugie, Kazuki Ishibashi
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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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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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Nonoscillation and oscillation of second order half-linear difference equations

Applied Mathematics and Computation, 2008
Conditions of oscillatory and non-oscillatory behavior for the second order, half linear difference equation of the form \[ \Delta(| \Delta x_{n-1}| ^{r-1}\Delta x_{n-1}) + q_n| x_n| ^{r-1}x_n = 0,\quad r>0,\;q_n\geq 0 \] are given.
Yuan Gong Sun, Fan Wei Meng
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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 \
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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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Poincaré-Perron problem for half-linear ordinary differential equations

Differential and Integral Equations
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Manabu, Naito, Usami, Hiroyuki
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Oscillation of linear and half-linear difference equations via modified Riccati transformation

Journal of Mathematical Analysis and Applications, 2023
Jiřina Šišoláková
exaly  

Non‐oscillation of linear and half‐linear differential equations with unbounded coefficients

Mathematical Methods in the Applied Sciences, 2021
Jiřina Šišoláková
exaly