Results 101 to 110 of about 1,593 (172)

Fourth Order Difference Equations: Oscillation and Nonoscillation

Rocky Mountain Journal of Mathematics, 1993
Consider the fourth order difference equation \[ \Delta^ 2 (P_ n \Delta^ 2 U_ n)-Q_{n+1} \Delta^ 2 U_{n+1}-R_{n+2} U_{n+2}=0 \tag{*} \] where \(P_ n\), \(Q_ n\) and \(R_ n\) are real sequences satisfying \(P_ n>0\), \(Q_ n \geq 0\) and \(R_ n>0\) for all \(n \geq 1\).
openaire   +2 more sources

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

Electronic 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, Ozkan Ocalan, Radhanath Rath   +2 more
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Asymptotic and Oscillatory Analysis of Second-Order Differential Equations with Distributed Deviating Arguments

Mathematics
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, Belgees Qaraad, Areej Almuneef, Higinio Ramos   +3 more
doaj   +1 more source

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

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

Abstract 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, Leonid Berezansky, Josef Diblík, Zdeněk Šmarda   +3 more
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Nonoscillation for Functional Differential Equations of Mixed Type

Journal of Mathematical Analysis and Applications, 2000
It is considered the linear autonomous functional-differential equation \[ \dot x(t)+ \int^1_{-1} (d\mu(s)) x(t+ s)= 0 \] which is of mixed (retarted/advanced) type. An example shows that such equations may be nonoscillatory in spite of the existence of the real roots of the characteristic equation.
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The Timing of Reward-Seeking Action Tracks Visually Cued Theta Oscillations in Primary Visual Cortex. [PDF]

J Neurosci, 2017
Levy JM, Zold CL, Namboodiri VMK, Hussain Shuler MG.   +3 more
europepmc   +1 more source

Nonoscillation, maximum principles, and exponential stability of second order delay differential equations without damping term [PDF]

, 2014
Alexander Domoshnitsky
core   +1 more source

Oscillation or nonoscillation property for semilinear wave equations

Journal of Computational and Applied Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Oscillation of a logistic difference equation with several delays

Advances in Difference Equations, 2006
For a delay difference equation , gk(n) ≤ n, K > 0, a connection between oscillation properties of this equation and the corresponding linear equations is established.
Braverman E, Berezansky L
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