Results 241 to 250 of about 5,415,402 (276)

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
exaly   +4 more sources

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.
Qi-Ru Wang
exaly   +3 more sources

Half-Linear Differential Equations

, 2005
The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing
Rehák, Pavel, Dosly, Ondrej
openaire   +2 more sources

Nonoscillation of half‐linear dynamic equations on time scales

Mathematical Methods in the Applied Sciences, 2021
The research contained in this paper belongs to the qualitative theory of dynamic equations on time scales. Via the detailed analysis of solutions of the associated Riccati equation and an advanced averaging technique, we provide the description of domain of nonoscillation of very general equations. The results are formulated and proved for half‐linear
Petr Hasil, Jozef Kisel'ák, Michal Pospíšil, Michal Veselý   +3 more
openaire   +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

Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations

Applied Mathematics Letters, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petr Hasil, Michal Veselý
openaire   +3 more sources

On Oscillation and Nonoscillation of a Second Order Half-Linear Equation

Georgian Mathematical Journal, 2000
Abstract New oscillation and nonoscillation criteria are established for the equation u″ + p(t)|u| α |u′|1–α sgn u = 0, where α ∈]0, 1] and the function p :]0, +∞[→] – ∞, +∞[ is locally integrable.
Kandelaki, N., Lomtatidze, A., Ugulava, D.   +2 more
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On Recessive and Dominant Solutions for Half-linear Difference Equations

Journal of Difference Equations and Applications, 2004
Recessive and dominant solutions for the half-linear difference equation where \Phi _{p}(u) = \vert u \vert ^{p - 2}u with p > 1, {a n } and {b n } are positive real sequences for n \qeq 1, are studied. By the unique solvability of certain boundary value problems, recessive solutions are defined as “smallest solutions in a neighbourhood of infinity ...
M. CECCHI, Z. DOSLA, MARINI, MAURO
openaire   +2 more sources

Conditionally oscillatory half-linear differential equations

Acta 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   +2 more sources