Results 11 to 20 of about 6,846,631 (327)
Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators
Journal of Differential Equations, 1996 For the difference operator \[ (Hu)(n)= a(n)u(n+1)- a(n-1)u(n-1)- b(n)u(n) \] the dimension of the spectral projection \(P_{(-\infty,\lambda)}(H)\) is expressed in terms of nodes of any solution of the equation \(Hu=\lambda u\). For example: if \(\lambda\) is an eigenvalue of \(H\), then \[ \text{dim Ran }P_{(-\infty,\lambda)} (H)=\#(u_+(\lambda ...
G. Teschl
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Control of Oscillation Patterns in a Symmetric Coupled Biological Oscillator System [PDF]
, 2003 A chain of three-oscillator system was constructed with living biological oscillators of phasmodial slime mold, Physarum polycehalum and the oscillation patterns were analyzed by the symmetric Hopf bifurcation theory using group theory.
Fujii, Teruo +3 more
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Baryon Acoustic Oscillation Theory and Modelling Systematics for the DESI 2024 results [PDF]
Monthly notices of the Royal Astronomical SocietyThis paper provides a comprehensive overview of how fitting of Baryon Acoustic Oscillations (BAO) is carried out within the upcoming Dark Energy Spectroscopic Instrument’s (DESI) 2024 results using its DR1 dataset, and the associated systematic error ...
Shi-Fan Chen +57 more
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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
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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.
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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
AIMS Mathematics, 2020 In this paper, sufficient conditions are established for the oscillation of all solutions of generalized proportional fractional differential equations of the form \begin{equation*} \left\{ \begin{array}{l} {_{a}D}^{\alpha, \rho}x(t) + \xi_1(t,x(t)) =
Weerawat Sudsutad +3 more
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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
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Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations [PDF]
Opuscula MathematicaThe aim of this paper is to present two comparison theorems. These results enable to describe the oscillation behavior of second order Euler type half-linear differential equations with perturbations in both terms using previously obtained oscillation ...
Petr Hasil +2 more
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