Results 1 to 10 of about 10,848 (254)
Half-linear discrete oscillation theory
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
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Recent Advances in Oscillation Theory
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
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A remark on an oscillation constant in the half-linear oscillation theory
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Ondřej Došlý
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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
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Kinetic Theory of Coupled Oscillators [PDF]
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
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Bifurcation Structures in a Bimodal Piecewise Linear Map
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
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Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations
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
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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
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Non-oscillation of half-linear differential equations with periodic coefficients
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
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Linear even order homogenous difference equation with delay in coefficient
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
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