Results 81 to 90 of about 186 (128)

Half-linear discrete oscillation theory

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2000
Oscillatory properties of the second order half-linear difference equation $$\Delta(r_k|\Delta y_k|^{\alpha-2}\Delta y_k)+p_k|y_{k+1}|^{\alpha-2}y_{k+1}=0,$$ where $\alpha>1$, are investigated.
Pavel Řehák
doaj   +1 more source

Fourth Order Difference Equations: Oscillation and Nonoscillation

open access: yesRocky 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

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  

Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients

open access: yesAbstract and Applied Analysis, 2012
We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations.
Petr Hasil, Michal Veselý
doaj   +1 more source

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

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  

Nonoscillation for Functional Differential Equations of Mixed Type

open access: yesJournal 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.
openaire   +1 more source

Oscillation or nonoscillation property for semilinear wave equations

open access: yesJournal of Computational and Applied Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Home - About - Disclaimer - Privacy