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1
Content available The practical feedback stabilization for evolution equations in Banach spaces
Hanen Damak
Acta Mechanica et Automatica
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2021
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Vol. 15, no. 2
58--65
EN
This paper investigates the notion of practical feedback stabilization of evolution equations satisfying some relaxed conditions in infinite-dimensional Banach spaces. Moreover, sufficient conditions are presented that guarantee practical stabilizability of uncertain systems based on Lyapunov functions. These results are applied to partial differential equations.
2
Content available remote On differential sandwich theorems of analytic functions defined by certain generalized linear operator
Seoudy T. M., Aouf M. K.
Journal of Mathematics and Applications
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2014
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Vol. 37
97--109
EN
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
3
Content available On Jordan-Chevalley decomposition
Bajorska B.
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska
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2011
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z. 1
7--27
EN
Expressing a linear operator ƒ on a finite-dimensional vector space over any field K as a sum of two commuting operators – semisimple and nilpotent – is called the Jordan-Chevalley decomposition of ƒ. It is known that this decomposition exists for an arbitrary ƒ if only K is perfect. In this paper we give some methods for determining the decomposition.
PL
Zapis operatora liniowego działającego na skończenie wymiarowej przestrzeni wektorowej nad dowolnym ciałem K w postaci sumy dwóch przemiennych operatorów – półprostego i nilpotentnego – nazywamy rozkładem Jordana-Chevalleya tego operatora.Wiadomo, że jeśli K jest ciałem doskonałym, to taki rozkład istnieje dla dowolnego operatora. Celem artykułu jest omówienie metod wyznaczenia postulowanego rozkładu.
4
Content available remote Applications of a first order differential subordination for analytic functions
Dziok J., Ohriska J.
Journal of Mathematics and Applications
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2010
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Vol. 32
39-46
EN
In the paper, we define classes of analytic functions, in terms of subordination. By using Jack's Lemma and the Briot-Bouquet differential subordination we obtain some inclusion relations for defined classes.
5
Content available remote Topological properties of spaces of linear operators on non-locally convex Orlicz spaces
Oelke A.
Commentationes Mathematicae
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2010
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Vol. 50, [Z] 2
103-108
EN
We study the topological properties of the space L(L^Φ,X) of all continuous linear operators from an Orlicz space L^Φ (an Orlicz function Φ is not necessarily convex) to a Banach space X.We provide the space L(L^Φ,X) with the Banach space structure. Moreover, we examine the space Ls(L^Φ,X) of all singular operators from L^Φ to X.
6
Content available remote On certain properties of neighborhoods of analytic functions of complex order
Latha S., Poornima N.
Journal of Mathematics and Applications
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2008
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Vol. 30
83-90
EN
Let A(n) denote the class of functions of the form [wzór] which are analytic in the open unit disk U = {z : |z| < 1}. In this note, the subclasses Sn (β, γ, a, c), Rn (β, γ, a, c; μ ), S(sup α) (sub n) (β, γ a, c) and R (sup α) (sub n) (β, γ, a, c; μ ) of A(n)(are defined and some properties of neighborhoods arę studied for functions of complex order in these classes.
7
Content available remote Classes of functions defined by subordination
Dziok J., Stankiewicz J.
Journal of Mathematics and Applications
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2008
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Vol. 30
53-59
EN
In the paper, we define classes of analytic functions, in terms of subordination. We present some inclusion relations for defined classes.
8
Content available remote Certain class of analytic functions associated with the wright generalized hypergeometric function
Aouf M. K., Dziok J.
Journal of Mathematics and Applications
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2008
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Vol. 30
23-32
EN
Using the Wrigh's generalized hypergeometric function, we introduce a new class W(q, s; A, B, γ) of analytic functions with nega-tive coefficients. In this paper we investigate coefficient estimates, distortion theorem and the radii of convexity and starlikeness.
9
Content available remote Some parametric family of functions
Dziok J.
Journal of Mathematics and Applications
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2007
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Vol. 29
99-107
EN
In the paper, we define classes of analytic functions, in terms of some linear operator. Coefficients estimates, distortion theorems, and the radii of convexity and starlikeness for this class of analytic functions are given here.
10
Content available remote On certain subclasses of meromorphically multivalent functions associated with a certain linear operator
Aouf M. K., Murugusundaramoorthy G.
Journal of Mathematics and Applications
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2007
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Vol. 29
33-52
EN
In this paper we introduce and study two subclasses (Rn,p(α, A, B)) and Sn,p(α, A, B)) of meromorphic p-valent functions of order α (0 ≤ α < p) defined by certain linear operator. We investigate the various important properties and characteristics of these subclasses. Some properties of neighborhoods of functions in these subclasses are investigated. Also we derive many interesting results for the Hadamard products of functions belonging to the class Sn,p(α, A, B).
11
Content available remote A linear operator and associated class of multivalent analytic functions
Sokół J.
Demonstratio Mathematica
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2007
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Vol. 40, nr 3
559-566
EN
We introduce a certain class H alpha/k (p, lambda;h) of multivalent analytic functions in the open unit disc involving a linear operator L alpha/k. The aim of this paper is to extend the similar concept of many earlier papers. We use techniques of differential subordination and convolution of this class.
12
Content available remote Korovkin theorem in modular spaces
Bardaro C., Mantellini I.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2007
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Vol. 47, [Z] 2
239-253
EN
In this paper we obtain an extension of the classical Korovkin theorem in abstract modular spaces. Applications to some discrete and integral operators are discussed.
13
Content available remote On strong approximation of functions of one and two variables by certain operators
Rempulska L., Skorupka M.
Fasciculi Mathematici
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2005
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Nr 35
115-133
EN
We investigate certain class of linear operators in polynomial weighted spaces of differentiable functions of one and two variables. We introduce strong differences of functions and operators and we give approximation theorems for them. The present theorems show that strong approximation is more general than normal approximation. Section I is devoted strong approximation of functions of one variable and Section II of functions of two variables. This note is motivated by resultus on strong approximation connected with Fourier series ([5], [8])
14
Content available remote Czynne i bierne operatory stratności - funkcje dwuwymiarowe
Siwczyński M., Krzyk P.
Przegląd Elektrotechniczny
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2004
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R. 80, nr 6
624-627
PL
Celem opracowania jest wyodrębnienie z liniowego operatora immitancji obwodu typu dwójnika liniowego niestacjonarnego pewnych podoperatorów, które wyznaczają moc czynną doprowadzoną do układu, oraz tak zwaną moc nieczynną.
EN
The aim of this publication is extraction from a linear two-terminal function operator of non-stationary linear two-terminal network two operators, which evaluate active and reactive power feed.
15
Content available remote Properties of a class of analytic functions involving a linear operator
Patel J., Sahoo P.
Demonstratio Mathematica
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2002
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Vol. 35, nr 3
495-507
16
Content available remote Approximation with respect to a measure in a modular space, VI
Stoiński S.
Fasciculi Mathematici
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1999
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Nr 29
125-131
EN
Elements of a modular subspace of [...] are approximated by certain singular integrals.
17
Content available remote Six-dimensional Landau inequalities
Rassias J.
Demonstratio Mathematica
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1999
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Vol. 32, nr 2
413-431
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