A class of nonlocal impulsive differential equations with conformable fractional derivative
Cubo, 2022 In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative.
Mohamed Bouaouid +3 more
doaj +1 more source
On a certain class of semigroups of operators [PDF]
, 2010 We define an interesting class of semigroups of operators in Banach spaces, namely, the randomly generated semigroups. This class contains as a remarkable subclass a special type of quantum dynamical semigroups introduced by Kossakowski in the early ...
Breuer H. P. +7 more
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Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols [PDF]
, 2001 The question of extending L-p-sub-Markovian semigroups to the spaces L-q, q > P, and the interpolation of LP-sub-Markovian semigroups with Feller semigroups is investigated.
Berlin +3 more
core +2 more sources
Frequently hypercyclic semigroups [PDF]
, 2010 We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation depends on the Pettis integral ...
Mangino, E. M., Peris, A.
core +1 more source
Interactions in noncommutative dynamics [PDF]
, 1999 A mathematical notion of interaction is introduced for noncommutative dynamical systems, i.e., for one parameter groups of *-automorphisms of $\Cal B(H)$ endowed with a certain causal structure.
Arveson, William
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Dynamical Semigroups for Unbounded Repeated Perturbation of Open System [PDF]
, 2015 We consider dynamical semigroups with unbounded Kossakowski-Lindblad-Davies generators which are related to evolution of an open system with a tuned repeated harmonic perturbation.
Attal S. +9 more
core +6 more sources
Some L2 properties of semigroups of measures on Lie groups [PDF]
, 2009 We investigate the induced action of convolution semigroups of probability measures on Lie groups on the L 2-space of Haar measure. Necessary and sufficient conditions are given for the infinitesimal generator to be self-adjoint and the associated ...
Applebaum, D.
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Operators versus functions: from quantum dynamical semigroups to tomographic semigroups
, 2013 Quantum mechanics can be formulated in terms of phase-space functions, according to Wigner's approach. A generalization of this approach consists in replacing the density operators of the standard formulation with suitable functions, the so-called ...
Aniello, Paolo
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Operator splittings and spatial approximations for evolution equations [PDF]
, 2009 The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end a variant of Chernoff's product formula is proved.
András Bátkai +4 more
core +4 more sources
Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms
, 2018 The subject of this paper is the study of convolution semigroups of states on a locally compact quantum group, generalising classical families of distributions of a L\'{e}vy process on a locally compact group.
Skalski, Adam, Viselter, Ami
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