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 ...
Teschl, Gerald
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Symplectic difference systems: oscillation theory and hyperbolic Prüfer transformation
Abstract and Applied Analysis, 2004 We present basic methods of oscillation theory of symplectic difference systems (SDSs). A particular attention is devoted to the variational principle and to the transformation method. Hyperbolic Prüfer transformation for SDSs is established.
Ondřej Došlý
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Effective field theory in long-baseline neutrino oscillation experiments
Journal of High Energy PhysicsWe study the phenomenology of physics beyond the Standard Model in long-baseline neutrino oscillation experiments using the most general parametrisation of heavy new physics in the framework of Standard Model Effective Theory (SMEFT), as well as its ...
Joachim Kopp +2 more
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Constants in the oscillation theory of higher order Sturm-Liouville differential equations
Electronic Journal of Differential Equations, 2002 We find the the exact value of a constant in some oscillation criteria for the higher order Sturm-Liouville differential equation $$ (-1)^{n}(t^alpha y^{(n)})^{(n)}=q(t)y . $$ We also study some general aspects in the oscillation theory of this equation.
Ondrej Dosly
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I: Retrieval of Atmospheric Carbon Dioxide from High-Resolution Spectra. II: Interannual Variability of the Stratospheric Quasi-Biennual Oscillation [PDF]
, 2011 This thesis is devoted to an understanding of climate changes in the troposphere and the stratosphere from different aspects. In the troposphere, projecting future climate depends on our understanding of the exchange of CO₂ between the atmosphere, oceans,
Le Kuai (蒯乐, Kuai, Le
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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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THEORY OF NEUTRINO OSCILLATIONS [PDF]
Particle Physics in Laboratory, Space and Universe, 2002 5 pages, talk presented at IFAE 2003, Lecce, 23-26 April ...
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Numerical study of vortex-induced vibrations of flexible riser under top oscillation excitation
Zhongguo Jianchuan Yanjiu, 2022 ObjectiveThe viv-FOAM-SJTU solver is used to carry out the numerical simulation of the vortex induced vibrations of a riser under different top oscillation excitation amplitudes. MethodsThe flow field is computed by the strip theory and Reynolds-averaged
Hao HU, Jianwei WU, Decheng WAN
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Conditional oscillation of half-linear Euler-type dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a constant given by the ...
Petr Hasil, J. Vítovec
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Impact of Neutrino Oscillation Measurements on Theory [PDF]
, 2003 Neutrino oscillation data had been a big surprise to theorists, and indeed they have ongoing impact on theory.
Hitoshi Murayama, Murayama, Hitoshi
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