Results 11 to 20 of about 370,901 (291)
Recent Advances in Oscillation Theory
International 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
Mathematics, 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
Bifurcation Structures in a Bimodal Piecewise Linear Map
Frontiers 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
Half-linear discrete oscillation theory
Electronic 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
Theory of laser oscillation in resonators with photorefractive gain [PDF]
, 1985 A theory for oscillation in an optical resonator with photorefractive gain was formulated. The threshold conditions for the oscillation were also obtained.
Kwong, Sze-Keung, Yariv, Amnon
core +1 more source
Kinetic Theory of Coupled Oscillators [PDF]
Physical 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
Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations
Electronic 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
Energy 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
5A2--Theory of the optical parametric oscillator [PDF]
, 1966 A formalism for describing optical parametric oscillation is developed. The theory is applied to the derivation of the oscillation threshold condition, power output, the Manley-Rowe conditions, index matching, and frequency ...
Louisell, W. H., Yariv, A.
core +2 more sources
Linear even order homogenous difference equation with delay in coefficient
Electronic 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