Results 1 to 10 of about 10,848 (254)

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   +2 more sources

Recent Advances in Oscillation Theory

open access: yesInternational Journal of Differential Equations, 2010
1 Department of Mathematics and Mathematical Statistics, Umea University, 901 87 Umea, Sweden 2 Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel 3 Department of Mathematics and Statistics, University of Calgary, 2500 University Drive Northwest, Calgary AB, Canada T2N 1N4 4 Department of Mathematics, Faculty of ...
Yuri V. Rogovchenko   +3 more
doaj   +4 more sources

A remark on an oscillation constant in the half-linear oscillation theory

open access: yesApplied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ondřej Došlý
exaly   +3 more sources

Improved Properties of Positive Solutions of Higher Order Differential Equations and Their Applications in Oscillation Theory

open access: yesMathematics, 2023
In this article, we present new criteria for testing the oscillation of solutions of higher-order neutral delay differential equation. By deriving new monotonic properties of a class of the positive solutions of the studied equation, we establish better ...
Barakah Almarri, Osama Moaaz
doaj   +1 more source

Kinetic Theory of Coupled Oscillators [PDF]

open access: yesPhysical Review Letters, 2007
We present an approach for the description of fluctuations that are due to finite system size induced correlations in the Kuramoto model of coupled oscillators. We construct a hierarchy for the moments of the density of oscillators that is analogous to the BBGKY hierarchy in the kinetic theory of plasmas and gases.
Hildebrand, Eric J.   +2 more
openaire   +3 more sources

Bifurcation Structures in a Bimodal Piecewise Linear Map

open access: yesFrontiers in Applied Mathematics and Statistics, 2017
In this paper we present an overview of the results concerning dynamics of a piecewise linear bimodal map. The organizing principles of the bifurcation structures in both regular and chaotic domains of the parameter space of the map are discussed.
Anastasiia Panchuk   +2 more
doaj   +1 more source

Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
By the combination of the modified half-linear Prüfer method and the Riccati technique, we study oscillatory properties of half-linear differential equations.
Petr Hasil, Michal Veselý
doaj   +1 more source

A novel oscillation identification method for grid-connected renewable energy based on big data technology

open access: yesEnergy Reports, 2022
With the development of big data technology, power system has entered the era of data analysis. With the help of the massive data provided by the wide area measurement system, the power system can be easily evaluated, and the abnormal operation status ...
Jian Wang
doaj   +1 more source

Non-oscillation of half-linear differential equations with periodic coefficients

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory ...
Petr Hasil, Michal Veselý
doaj   +1 more source

Linear even order homogenous difference equation with delay in coefficient

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2020
We use many classical results known for the self-adjoint second-order linear equation and extend them for a three-term even order linear equation with a delay applied to coefficients.
Jan Jekl
doaj   +1 more source

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