Results 71 to 80 of about 53,909 (198)

On bounded time-dependent perturbations of operator cosine functions

Aequationes Mathematicae, 1981
In this note it is shown that the Cauchy problem associated with the infinitesimal generatorA of a strongly continuous operator cosine function remains uniformly well-posed under bounded time-dependent perturbations ofA.
openaire   +2 more sources

Strong and uniform mean stability of cosine and sine operator functions

Journal of Mathematical Analysis and Applications, 2007
It is first observed that a uniformly bounded cosine operator function \(C(\cdot)\) and the associated sine function \(S(\cdot)\) are totally non-stable. Then, using a zero-one law for the Abel limit of a closed linear operator, the authors prove some results concerning the strong mean stability and uniform mean stability of \(C(\cdot)\).
Sato, Ryotaro, Shaw, Sen-Yen
openaire   +2 more sources

Dynamic splitting of a Bose-Einstein Condensate

, 2000
We study the dynamic process of splitting a condensate by raising a potential barrier in the center of a harmonic trap. We use a two-mode model to describe the phase coherence between the two halves of the condensate.
A. Galindo, A. Sinatra, A. Sinatra, A. Smerzi, A. Smerzi, A.J. Leggett, A.J. Leggett, B.P. Anderson, C. Menotti, C.K. Law, D. Jaksch, E.M. Wright, F. Sols, G.J. Milburn, I. Zapata, J. I. Cirac, J. Javanainen, J. Javanainen, J. Javanainen, J. Javanainen, J. R. Anglin, K. Berg-Sørensen, K. Mølmer, M. Lewenstein, M.L. Chiofalo, P. Villain, P. Zoller, R.W. Spekkens, V.M. Perez-García, W. Ketterle   +29 more
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A Hybrid Numerical–Semantic Clustering Algorithm Based on Scalarized Optimization

Algorithms
This paper addresses the challenge of segmenting consumer behavior in contexts characterized by both numerical regularities and semantic variability. Traditional models, such as RFM-based segmentation, capture the transactional dimension but neglect the ...
Ana-Maria Ifrim, Ionica Oncioiu
doaj   +1 more source

Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale

, 2004
We solve the inverse spectral problems for the class of Sturm--Liouville operators with singular real-valued potentials from the Sobolev space W^{s-1}_2(0,1), s\in[0,1].
Hryniv, R. O., Mykytyuk, Ya. V.
core   +1 more source

New model for system of mesoscopic Josephson contacts

, 1998
Quantum fluctuations of the phases of the order parameter in 2D arrays of mesoscopic Josephson junctions and their effect on the destruction of superconductivity in the system are investigated by means of a quantum-cosine model that is free of the ...
A. Blaer, A. I. Belousov, A. I. Belousov, A. L. Dobryakov, C. Bruder, J. B. Kim, M. C. Cha, P. Carruthers, P. Lafarge, P. Minnhagen, P. W. Anderson, S. G. Akopov, S. L. Sondhi, V. F. Gantmakher, W. H. Louisell, W. Krauth, Yu. E. Lozovik   +16 more
core   +1 more source

Marichev-Saigo-Maeda fractional integration operators of the Bassel functions

Le Matematiche, 2012
In this paper, we apply generalized operators of fractional integration involving Appell’s function F_3 (.) due to Marichev-Saigo-Maeda, to the Bessel function of first kind.
Sunil D. Purohit, Daya L. Suthar, Shiam L. Kalla   +2 more
doaj  

Mild Solutions for w-Weighted, Φ-Hilfer, Non-Instantaneous, Impulsive, w-Weighted, Fractional, Semilinear Differential Inclusions of Order μ ∈ (1, 2) in Banach Spaces

Fractal and Fractional
The aim of this work is to obtain novel and interesting results for mild solutions to a semilinear differential inclusion involving a w-weighted, Φ-Hilfer, fractional derivative of order μ∈(1,2) with non-instantaneous impulses in Banach spaces with ...
Zainab Alsheekhhussain, Ahmed Gamal Ibrahim, M. Mossa Al-Sawalha, Khudhayr A. Rashedi   +3 more
doaj   +1 more source

Convergence of operator-semigroups associated with generalised elliptic forms

, 2011
In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form fails to be closable.
Mugnolo, Delio, Nittka, Robin
core   +1 more source

Measurement and control of a Coulomb-blockaded parafermion box

, 2018
Parafermionic zero modes are fractional topologically protected quasiparticles expected to arise in various platforms. We show that Coulomb charging effects define a parafermion box with unique access options via fractional edge states and/or quantum ...
Egger, Reinhold, Gefen, Yuval, Snizhko, Kyrylo   +2 more
core   +1 more source