Results 101 to 110 of about 2,136 (215)

Asymptotic and Oscillatory Analysis of Second-Order Differential Equations with Distributed Deviating Arguments

open access: yesMathematics
This paper focuses on studying the oscillatory properties of a distinctive class of second-order advanced differential equations with distributed deviating arguments in a noncanonical case.
Zuhur Alqahtani   +3 more
doaj   +1 more source

Perturbed generalized half-linear Riemann–Weber equation – further oscillation results

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
We establish new oscillation and nonoscillation criteria for the perturbed generalized Riemann–Weber half-linear equation with critical coefficients \begin{equation*} (\Phi(x'))'+\left(\frac{\gamma_p}{t^p}+\sum_{j=1}^n\frac{\mu_p}{t^p\mbox{Log}_j^2 t ...
Simona Fišnarová, Zuzana Pátíková
doaj   +1 more source

Necessary and sufficient conditions for the oscillatory and asymptotic behaviour of solutions to neutral delay dynamic equations

open access: yesElectronic Journal of Differential Equations, 2009
This article concerns the asymptotic behaviour of solutions to nonlinear first-order neutral delay dynamic equations involving coefficients with opposite signs.
Basak Karpuz   +2 more
doaj  

Asymptotic properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations

open access: yesElectronic Journal of Differential Equations, 2004
We study scalar first order linear autonomous neutral delay differential equations with distributed type delays. This article presents some new results on the asymptotic behavior, the nonoscillation and the stability.
Christos G. Philos, Ioannis K. Purnaras
doaj  

On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays

open access: yesAbstract and Applied Analysis, 2010
New nonoscillation and oscillation criteria are derived for scalar delay differential equations ̇𝑥(𝑡)+𝑎(𝑡)𝑥(ℎ(𝑡))=0,𝑎(𝑡)≥0,ℎ(𝑡)≤𝑡,𝑡≥𝑡0, and ∑̇𝑥(𝑡)+𝑚𝑘=1𝑎𝑘(𝑡)𝑥(ℎ𝑘(𝑡))=0,𝑎𝑘(𝑡)≥0,ℎ𝑘(𝑡)≤𝑡, and 𝑡≥𝑡0, in the critical case including equations with several ...
Jaromír Baštinec   +3 more
doaj   +1 more source

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