Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "semigroup" wg kryterium: Temat


Tytuł:
Wreath product of a semigroup and a Γ-semigroup
Autorzy:
Sen, Mridul
Chattopadhyay, Sumanta
Powiązania:
https://bibliotekanauki.pl/articles/728786.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
semigroup
Γ-semigroup
orthodox semigroup
right(left) orthodox Γ-semigroup
right(left) inverse semigroup
right(left) inverse Γ-semigroup
right(left)α-unity
Γ-group
semidirect product
wreath product
Opis:
Let S = {a,b,c,...} and Γ = {α,β,γ,...} be two nonempty sets. S is called a Γ -semigroup if aαb ∈ S, for all α ∈ Γ and a,b ∈ S and (aαb)βc = aα(bβc), for all a,b,c ∈ S and for all α,β ∈ Γ. In this paper we study the semidirect product of a semigroup and a Γ-semigroup. We also introduce the notion of wreath product of a semigroup and a Γ-semigroup and investigate some interesting properties of this product.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2008, 28, 2; 161-178
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wellposedness and exponential decay rates for the Moore-Gibson-Thompson equation arising in high intensity ultrasound
Autorzy:
Kaltenbacher, B.
Lasiecka, I.
Marchand, R.
Powiązania:
https://bibliotekanauki.pl/articles/206112.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
high intensity ultrasound
strongly continuous semigroup
exponential stability
Opis:
We consider the Moore-Gibson-Thompson equation which arises, e.g., as a linearization of a model for wave propagation in viscous thermally relaxing fluids. This third order in time equation displays, even in the linear version, a variety of dynamical behaviors for their solutions that depend on the physical parameters in the equation. These range from non-existence and instability to exponential stability (in time). It will be shown that by neglecting diffusivity of the sound coefficient there arises a lack of existence of a semigroup associated with the linear dynamics. More specifically, the corresponding linear dynamics consists of three diffusions: two backward and one forward. When diffusivity of the sound is positive, the linear dynamics is described by a strongly continuous semigroup which is exponentially stable when the ratio of sound speed×relaxation parameter/ sound diffusivity is sufficiently small, and unstable in the complementary regime. The theoretical estimates proved in the paper are confirmed by numerical validation.
Źródło:
Control and Cybernetics; 2011, 40, 4; 971-988
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
Autorzy:
Weiss, G.
Staffans, O. J.
Tucsnak, M.
Powiązania:
https://bibliotekanauki.pl/articles/908320.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system liniowy
układ zachowawczy
równanie różniczkowe
well-posed linear systems
regular linear system
operator semigroup
consevative system
scattering theory
time-flow-inversion
differential equations in Hilbert space
beam equation
Opis:
We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 7-33
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unique prime factorization in a partial semigroup of matrix-polynomials
Autorzy:
Kaltenbäck, Michael
Woracek, Harald
Powiązania:
https://bibliotekanauki.pl/articles/729169.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
partial semigroup
unique prime factorization
Opis:
We establish a unique factorization result into irreducibel elements in the partial semigroup of 2 × 2-matrices with entries in K[x] whose determinant is equal to 1, where K is a field, and where multiplication is defined as the usual matrix-multiplication if the degrees of the factors add up. This investigation is motivated by a result on matrices of entire functions.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2006, 26, 1; 21-43
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transformation semigroups associated to Γ-semigroups
Autorzy:
Heidari, Dariush
Amooshahi, Marzieh
Powiązania:
https://bibliotekanauki.pl/articles/729083.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
transformation semigroup
Γ-semigroup
Green's relations
Opis:
The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups. Finally, we study some relationships between Green's equivalence relations of a Γ-semigroup and its left (right) transformation semigroup.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 2; 249-259
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The maximal subsemigroups of the ideals of some semigroups of partial injections
Autorzy:
Dimitrova, Ilinka
Koppitz, Jörg
Powiązania:
https://bibliotekanauki.pl/articles/728748.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
finite transformation semigroup
isotone and monotone partial transformations
maximal subsemigroups
Opis:
We study the structure of the ideals of the semigroup $IO_n$ of all isotone (order-preserving) partial injections as well as of the semigroup $IM_n$ of all monotone (order-preserving or order-reversing) partial injections on an n-element set. The main result is the characterization of the maximal subsemigroups of the ideals of $IO_n$ and $IM_n$.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2009, 29, 2; 153-167
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sturm-Liouville Systems Are Riesz-Spectral Systems
Autorzy:
Delattre, C.
Dochain, D.
Winkin, J.
Powiązania:
https://bibliotekanauki.pl/articles/908100.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
Sturm-Liouville system
Riesz-spectral system
infinite-dimensional state-space system
Co-semigroup
Opis:
The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L2(a,b) and the infinitesimal generator of a C0-semigroup of bounded linear operators.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 481-484
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Strong convergence of implicit iteration processes for nonexpansive semigroups in Banach spaces
Autorzy:
Kozlowski, W.M.
Powiązania:
https://bibliotekanauki.pl/articles/746461.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
fixed point
nonexpansive mapping
nonexpansive semigroup
fixed point iteration process
implicit iterative process
strong convergence
uniformly convex Banach space
Opis:
Let \(C\) be a convex compact subset of a uniformly convex Banach space. Let \(\{T_t\}_{t \geq0}\) be a strongly-continuous nonexpansive semigroup on \(C\). Consider the iterative process defined by the sequence of equations $$x_{k+1} =c_k T_{t_{k+1}}(x_{k+1})+(1-c_k)x_k.$$ We prove that, under certain conditions on \(\{c_k\}\) and \(\{t_k\}\), the sequence \(\{x_k\}_{n=1}^\infty\) converges strongly to a common fixed point of the semigroup \(\{T_t\}_{t \geq0}\). There are known results on convergence of such iterative processes for nonexpansive semigroups in Hilbert spaces and Banach spaces with the Opial property, and also weak convergence results in Banach spaces that are simultaneously uniformly convex and uniformly smooth. In this paper, we do not assume the Opial property or uniform smoothness of the norm.
Źródło:
Commentationes Mathematicae; 2014, 54, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Strong continuity of semigroup homomorphisms
Autorzy:
Basit, Bolis
Pryde, A.
Powiązania:
https://bibliotekanauki.pl/articles/1217352.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
representation
semigroup homomorphism
weak continuity
strong continuity
Lipschitz map
Opis:
Let J be an abelian topological semigroup and C a subset of a Banach space X. Let L(X) be the space of bounded linear operators on X and Lip(C) the space of Lipschitz functions ⨍: C → C. We exhibit a large class of semigroups J for which every weakly continuous semigroup homomorphism T: J → L(X) is necessarily strongly continuous. Similar results are obtained for weakly continuous homomorphisms T: J → Lip(C) and for strongly measurable homomorphisms T: J → L(X).
Źródło:
Studia Mathematica; 1999, 132, 1; 71-78
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of the Volterra Integrodifferential Equation
Autorzy:
Janfada, Mohammad
Sadeghi, Gh.
Powiązania:
https://bibliotekanauki.pl/articles/972262.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Hyers-Ulam stability
Volterra integrodifferential equation
Volterra equation
C 0 - semigroup
Opis:
In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation $$ x^{'} (t) = g(t,x(t)) + \int_0^t K(t,s,x(s))ds $$ and the Volterra equation $$ x(t)=g(t,x(t)) + \int_0^t K(t,s,x(s))ds $$ on the finite interval $ [0, T], T > 0 $, are studied, where the state $ x(t) $ take values in a Banach space $X$.
Źródło:
Acta Universitatis Lodziensis. Folia Mathematica; 2013, 18; 11-20
2450-7652
Pojawia się w:
Acta Universitatis Lodziensis. Folia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semilinear evolution equations of the parabolic type
Autorzy:
Bochenek, Jan
Powiązania:
https://bibliotekanauki.pl/articles/1293838.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
classical solution
semilinear initial value problem
analytic semigroup
mild solution
Opis:
This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.
Źródło:
Annales Polonici Mathematici; 1999, 72, 3; 197-206
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semigroups derived from (Γ,n)-semihypergroups and T-functor
Autorzy:
Ostadhadi-Dehkordi, S.
Powiązania:
https://bibliotekanauki.pl/articles/729159.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
(Γ,n)-semihypergroup
Θ-relation
T-fuctor
fundamental semigroup
Opis:
The main purpose of this paper is to introduce the concept of (Γ,n)-semihypergroups as a generalization of hypergroups, as a generalization of n-ary hypergroups and obtain an exact covariant functor between the category (Γ,n)-semihypergrous and the category semigroups. Moreover, we introduce and study complete part. Finally, we obtain some new results and some fundamental theorems in this respect.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 1; 79-95
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semigroups defined by automaton extension mapping
Autorzy:
Osys, Mirosław
Powiązania:
https://bibliotekanauki.pl/articles/729089.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
automaton mapping
Mealy automaton
semigroup
Opis:
We study semigroups generated by the restrictions of automaton extension (see, e.g., [3]) and give a characterization of automaton extensions that generate finite semigroups.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2005, 25, 1; 103-118
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Semigroup of Contractions of Wreath Products of Metric Spaces
Autorzy:
Oliynyk, Bogdana
Powiązania:
https://bibliotekanauki.pl/articles/729049.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
metric space
wreath product
semigroup of contractions
Opis:
In this paper semigroups of contractions of metric spaces are considered. The semigroup of contractions of the wreath product of metric spaces is calculated.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 1; 35-43
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robustness of solutions of an infinite-dimensional algebraic Sylvester equation under bounded perturbations
Autorzy:
Emirsajłow, Z.
Powiązania:
https://bibliotekanauki.pl/articles/205989.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
distributed parameter systems
algebraic Sylvester equation
bounded perturbations
implemented semigroup
Opis:
The output regulation problem for distributed parameter systems, see e.g. Byrnes, Lauko, Gillian and Shubov (2000) and Paunonen (2011), and the observer design problem for such systems, see e.g. Emirsajłow (2012), are examples of import ant control problems, where analysis of infinite-dimensional algebraic Sylvester equations plays a crucial role. This paper studies bounded perturbations of the unbounded operators of the algebraic infinitedimensional Sylvester equation. We derive some estimate on the perturbation operator under which the algebraic Sylvester equation preserves a unique solution or, in the control systems terminology, a solution is robust under small bounded perturbations. In our approach we employ the concept of an implemented semigroup, see e.g. Alber (2001) and Emirsajłow (2012), which is a special case of the so-called bi-continuous semigroup, e.g. Farkas (2004).
Źródło:
Control and Cybernetics; 2013, 42, 1; 27-45
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł

Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies