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Oscillation criteria for fourth order half-linear differential equations [PDF]

open access: diamondArchivum Mathematicum, 2020
In this paper, the following fourth-order differential equation \[(|y^{\prime\prime}|^{\alpha}\operatorname{sgn}(y^{\prime\prime}))^{\prime\prime}+q(t)|y|^{\alpha}\operatorname{sgn}(y)=0,\quad t\geq a>0\] is considered, where \(\alpha\) is a positive constant and \(q:[a,\infty)\to(0,\infty)\) is a continuous function.
Jaroslav Jaroš   +2 more
openalex   +2 more sources

Oscillation criteria for damped quasilinear second-order elliptic equations

open access: yesElectronic Journal of Differential Equations, 2011
In 2010, Yoshida [13] stated that oscillation criteria for the superlinear-sublinear elliptic equation equation $$ abla cdot ig(A(x)Phi(abla v)ig) + (alpha+1)B(x)cdotPhi(abla v) + C(x) phi_eta(v) + D(x) phi_gamma (v)=f(x) $$ were not known.
Tadie
doaj  

Linearized Riccati Technique and (Non-)Oscillation Criteria for Half-Linear Difference Equations

open access: yesAdvances in Difference Equations, 2008
We consider the half-linear second-order difference equation , , , where , are real-valued sequences. We associate with the above-mentioned equation a linear second-order difference equation and we show that oscillatory properties of the above ...
Fišnarová Simona   +1 more
doaj  

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