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Frequency domain analysis of torsional vibration of single pile in orthotropic viscoelastic layered foundation. [PDF]

Sci Rep
Lian Z, Zhu Y, Jiu Y.
europepmc   +1 more source

Logistic regression for estimating functional effects with spatial transcriptomics. [PDF]

Nucleic Acids Res
Barkasi M, Pham CN, Neophytou D, Oviedo HV.   +3 more
europepmc   +1 more source

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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.
Pavel Rehak
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 ...
Jitsuro Sugie, Kazuki Ishibashi
exaly   +2 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 \
exaly   +3 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.
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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
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