Results 21 to 30 of about 193,737 (236)

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   +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

Stabilization of control systems associated with a strongly continuous group [PDF]

open access: yesE S A I M: Control, Optimisation and Calculus of Variations
This paper is devoted to the stabilization of a linear control system $y' = A y + B u$  and its suitable non-linear variants where $(A, \cD(A))$ is an infinitesimal generator of a strongly continuous {\it group} in a Hilbert space $\mH$, and $B$ defined ...
Hoai-Minh Nguyen
semanticscholar   +1 more source

Strongly Continuous Semigroups [PDF]

open access: yes, 2012
In Chapter 2 we showed that the examples of Chapter 1, which were described by ordinary differential equations, can be written as a first-order differential equation $$\dot{x}(t) = Ax(t) + Bu(t), \quad \quad y(t) = C_x(t) = Du(t),$$ (5.1) where x(t) is a vector in Rn or Cn.
Birgit Jacob, Hans J. Zwart
openaire   +1 more source

A Lumer–Phillips type generation theorem for bi-continuous semigroups [PDF]

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2022
The famous 1960s Lumer-Phillips Theorem states that a closed and densely defined operator $A\colon D(A)\subseteq X\rightarrow X$ on a Banach space $X$ generates a strongly continuous contraction semigroup if and only if $(A,D(A))$ is dissipative and the ...
Christian Budde, Sven-Ake Wegner
semanticscholar   +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

Exponential dichotomy of strongly discontinuous semigroups [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1984
In this paper we give necessary and sufficient conditions for exponential dichotomy of a general class of strongly continuous semigroups of operators defined on a Banach space. As a particular case we obtain a Datko theorem for exponential stability of a strongly continuous semigroup of class C0 defined on a Banach space.
Preda, P., Megan, M.
openaire   +2 more sources

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

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