Results 241 to 250 of about 6,618,367 (274)

A beam-direction cross-vessel metrology method and error analysis for the ptychography setup at HEPS ID09. [PDF]

open access: yesJ Synchrotron Radiat
Liao R   +10 more
europepmc   +1 more source

Conditionally oscillatory half-linear differential equations [PDF]

open access: yesActa Mathematica Hungarica, 2008
The authors assume that a nonoscillatory solution to the half-linear equation \[ (r(t)\Phi(x'))+c(t)\Phi(x)=0,\;\Phi(x)=| x| ^{p-2}x,\;p>1, \] is known. Then they are able to construct a function \(d\) such that the (perturbed) equation \[ (r(t)\Phi(x'))+(c(t)+\lambda d(t))\Phi(x)=0 \] is conditionally oscillatory.
Došlý, O., Ünal, M.
openaire   +4 more sources

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 \
Robert Marik
exaly   +3 more sources

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 ...
Kazuki Ishibashi, Jitsuro Sugie
exaly   +2 more sources

Perturbations of the Half-Linear Euler Differential Equation

Results in Mathematics, 2000
The authors investigate oscillation/nonoscillation properties of the perturbed half-linear Euler differential equation \[ (x'{}^{n*})'+\frac{\gamma_0}{t^{n+1}}[n+2(n+1)\delta(t)]x^{n*}=0, \tag{*} \] where the function \(\delta(t)\) is piecewise continuous on \((t_0,\infty)\), \(t_0\geq 0\), \(n>0\) is a fixed real number and \(u^{n*}=|u|^n \text{sgn} u\
Elbert, Á., Schneider, A.
openaire   +2 more sources

Nonoscillation in half-linear differential equations

Publicationes Mathematicae Debrecen, 1996
Necessary conditions are given for the nonoscillation of the solutions of the equation \[ [r(t)|u'(t)|^{p-2}u'(t)]'+c(t)|u(t)|^{p-2}u(t)=0, \] where \(p>1\) is a constant, and \(r(t)>0\).
Li, Horng-Jaan, Yeh, Cheh-Chih
openaire   +1 more source

A nonoscillation theorem for half-linear differential equations with periodic coefficients

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jitsuro Sugie, Kouhei Matsumura
openaire   +3 more sources

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