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1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
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Semigroups defined by automaton extension mapping

100%
Osys M.
Discussiones Mathematicae - General Algebra and Applications
|
2005
|
tom 25
|
nr 1
103-118
EN
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.
2
Content available remote

On the invertibility of isometric semigroup representations

100%
Batty C. J. K., Greenfield D. A.
Studia Mathematica
|
1994
|
tom 110
|
nr 3
235-250
EN
Let T be a representation of a suitable abelian semigroup S by isometries on a Banach space. We study the spectral conditions which will imply that T(s) is invertible for each s in S. On the way we analyse the relationship between the spectrum of T, Sp(T,S), and its unitary spectrum $Sp_{u}(T,S)$. For $S = ℤ^{n}_{+}$ or $ℝ^{n}_{+}$, we establish connections with polynomial convexity.
3
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Pseudocomplements in sum-ordered partial semirings

75%
Cīrulis J.
Discussiones Mathematicae - General Algebra and Applications
|
2007
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tom 27
|
nr 2
169-186
EN
We study a particular way of introducing pseudocomplementation in ordered semigroups with zero, and characterise the class of those pseudocomplemented semigroups, termed g-semigroups here, that admit a Glivenko type theorem (the pseudocomplements form a Boolean algebra). Some further results are obtained for g-semirings - those sum-ordered partially additive semirings whose multiplicative part is a g-semigroup. In particular, we introduce the notion of a partial Stone semiring and show that several well-known elementary characteristics of Stone algebras have analogues for such semirings.
4
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A note on convergence of semigroups

75%
Bobrowski A.
Annales Polonici Mathematici
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1998
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tom 69
|
nr 2
107-127
EN
Convergence of semigroups which do not converge in the Trotter-Kato-Neveu sense is considered.
5

Mathematical model and optimal control of flow induced vibration of pipelines

75%
Ahmed N.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
1999
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tom 19
|
nr 1-2
67-84
EN
In this paper we consider a dynamic model for flow induced vibration of pipelines. We study the questions of existence and uniqueness of solutions of the system. Considering the flow rate as the control variable, we present three different necessary conditions of optimality. The last one with state constraint involves Differential Inclusions. The paper is concluded with an algorithm for computing the optimal controls.
6
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Open maps between Knaster continua

75%
Eberhart C., Fugate J. B., Schumann S.
Fundamenta Mathematicae
|
1999
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tom 162
|
nr 2
119-148
EN
We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.
7
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Wreath product of a semigroup and a Γ-semigroup

63%
Sen M., Chattopadhyay S.
Discussiones Mathematicae - General Algebra and Applications
|
2008
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tom 28
|
nr 2
161-178
EN
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.
8
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Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations

63%
Akdad A.-N., Ezzinbi K., Souden L.
Nonautonomous Dynamical Systems
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2015
|
tom 2
|
nr 1
EN
In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.
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