Results 1 to 10 of about 59,580 (118)

Review of the Latest Progress in Controllability of Stochastic Linear Systems and Stochastic GE-Evolution Operator

open access: yesMathematics, 2021
According to the spatial dimension, equation type, and time sequence, the latest progress in controllability of stochastic linear systems and some unsolved problems are introduced. Firstly, the exact controllability of stochastic linear systems in finite
Zhaoqiang Ge
doaj   +3 more sources

Integral Characterizations for Uniform Stability with Growth Rates in Banach Spaces

open access: yesAxioms, 2021
The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution ...
Rovana Boruga (Toma)   +2 more
doaj   +1 more source

Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point

open access: yesMathematics, 2023
We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only the absorption of ...
Elena Filichkina, Elena Yarovaya
doaj   +1 more source

Polynomial stability of evolution operators in Banach spaces [PDF]

open access: yesOpuscula Mathematica, 2011
The paper considers three concepts of polynomial stability for linear evolution operators which are defined in a general Banach space and whose norms can increase not faster than exponentially.
Megan Mihail   +2 more
doaj   +1 more source

Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth [PDF]

open access: yesQuantum, 2023
Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a process to unfold by using a distance between quantum states and identifying the speed of evolution or an upper bound to it.
Niklas Hörnedal   +3 more
doaj   +1 more source

Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains

open access: yesMathematics, 2021
In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity.
Toshiaki Hishida
doaj   +1 more source

Viability result for semilinear functional differential inclusions in Banach spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
We show the existence result of a mild solution for a semilinear functional differential inclusion, with viability, governed by a family of linear operators. We consider the case when the constraint is moving.
M. Aitalioubrahim
doaj   +1 more source

Using the Evolution Operator to Classify Evolution Algebras

open access: yesMathematical and Computational Applications, 2021
Evolution algebras are currently widely studied due to their importance not only “per se” but also for their many applications to different scientific disciplines, such as Physics or Engineering, for instance.
Desamparados Fernández-Ternero   +2 more
doaj   +1 more source

Quantum Time and Quantum Evolution

open access: yesUniverse, 2023
The problem of quantum time and evolution of quantum systems, where time is not a parameter, is considered. In our model, following some earlier works, time is represented by a quantum operator.
Andrzej Góźdź   +2 more
doaj   +1 more source

Laplace-based method for the linearized dynamical models in the presence of Hilfer fractional operator

open access: yesPartial Differential Equations in Applied Mathematics, 2022
The present manuscript examines the role of the Hilfer’s fractional operator on the evolution of three important linearized dynamical models of fluid dynamics.
Rahmatullah Ibrahim Nuruddeen
doaj   +1 more source

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