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Supermixing and hypermixing of strongly continuous semigroups and their direct sum

open access: yesJournal of Taibah University for Science, 2021
Supermixing and hypermixing strongly continuous semigroups are introduced in this paper. It is proved that supermixing preserves under quasiconjugacy. Moreover, it is established that if a strongly continuous semigroup is supermixing(hypermixing), then ...
Mansooreh Moosapoor
doaj   +2 more sources

On the Adjoint of a Strongly Continuous Semigroup [PDF]

open access: yesAbstract and Applied Analysis, 2008
Using some techniques from vector integration, we prove the weak measurability of the adjoint of strongly continuous semigroups which factor through Banach spaces without isomorphic copy of l1; we also prove the strong continuity away from zero of the ...
Diómedes Bárcenas   +1 more
doaj   +2 more sources

Statistical Ergodic Theorem in Symmetric Spaces for Infinite Measures

open access: yesСовременная математика: Фундаментальные направления, 2021
Let (Ω,μ) be a measurable space with σ -finite continuous measure, μ(Ω)=∞. A linear operator T:L1(Ω)+L∞(Ω)→L1(Ω)+L∞(Ω) is called the Dunford-Schwartz operator if ||T(f)||1||f||1 (respectively, ||T(f)||∞||f||∞) for all f∈L1(Ω) (respectively, f∈L∞(Ω)). {Tt}
A. S. Veksler, V. I. Chilin
doaj   +1 more source

Constructing C0-Semigroups via Picard Iterations and Generating Functions: An Application to a Black–Scholes Integro-Differential Operator

open access: yesMathematics, 2021
An alternative approach is proposed for constructing a strongly continuous semigroup based on the classical method of successive approximations, or Picard iterations, together with generating functions.
Marianito R. Rodrigo
doaj   +1 more source

Operator representation of Gevrey ultradistributions algebra with supports on positive $n$-dimensional angle

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
The representation of convolution Gevrey algebra of ultradistributions as commutant of the $n$-parametric strongly continuous semigroup of shifts in algebra of linear and continuous mappings over the space of ultradifferentiable Gevrey functions with ...
A. V. Solomko
doaj   +1 more source

Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces

open access: yesAbstract and Applied Analysis, 2013
Let be a real reflexive Banach space with a weakly continuous duality mapping . Let be a nonempty weakly closed star-shaped (with respect to ) subset of .
D. R. Sahu   +2 more
doaj   +1 more source

Oscillations of a System of Rigid Bodies Partially Filled with Viscous Fluids Under the Action of an Elastic Damping Device

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
In this paper, we investigate the linearized two-dimensional problem on small motions of a system of rigid bodies partially filled with viscous incompressible fluids and connected in series by springs. The first and last bodies are attached by springs to
K. V. Forduk
doaj   +1 more source

SOLUTION TO A PARABOLIC DIFFERENTIAL EQUATION IN HILBERT SPACE VIA FEYNMAN FORMULA I

open access: yesМоделирование и анализ информационных систем, 2015
A parabolic partial differential equation u′t (t, x) = Lu(t, x) is considered, where L is a linear second-order differential operator with time-independent coefficients, which may depend on x. We assume that the spatial coordinate x belongs to a finiteor
I. D. Remizov
doaj   +1 more source

On the approximation theorem of Wong-Zakai type for the Lasota operator [PDF]

open access: yesOpuscula Mathematica, 2010
We consider in this paper a stochastic evolution equation with Professor A. Lasota's operator as the infinitesimal generator of a strongly continuous semigroup of transformations and with Hammerstein operator connected with a noise being the Wiener ...
Antoni Leon Dawidowicz   +1 more
doaj   +1 more source

Boundary controllability of impulsive nonlinear fractional delay integro-differential system

open access: yesCogent Engineering, 2016
By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
doaj   +1 more source

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