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1
100%
Demonstratio Mathematica
EN Operators preserving singularity and nonsingularity of matrices were studied in paper of P. Botta under the assumption that operators are linear. In the present paper the linearity of operators is not assumed: we only assume that operators are of the form T = (fi,j), wherei,j : K -> K and K is a fie[...]
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Demonstratio Mathematica
EN We study the porosity behavior of non-contractive mappings in a generalized metric space, a concept recently introduced in [1]. We also investigate partially the porosity position of a certain class of operators whose condition arises from [8].
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Demonstratio Mathematica
EN The purpose of this paper is to present some theorems on existence and uniqueness of solution for nonautonomous second order Cauchy problem with a dumping operator and with dependent on t not densely defined operators.
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Demonstratio Mathematica
EN In the year 1993, Gupta and Srivastava [3] introduced the integral modication of the well known Basakov operators by taking the weight functions of Szasz basis function, so called Baskakov-Szasz operators. To prove our one of the direct theorems, we use the technique of a mathematical tool which is [...]
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Demonstratio Mathematica
EN The paper is concerned with functional shifts and functional R-shifts for a right invertible operator D (cf. [30], [15]). Conditions for different kinds of invertibility of these functional shifts on a set of all D-monomials are established.
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Demonstratio Mathematica
EN By using the theory of extrapolation space X-1 associated with an operator A which is non densely defined in Banach space X, the existence and uniqueness of solutions of linear second order differential initial value problem (1) is proved.
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Demonstratio Mathematica
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Demonstratio Mathematica
9
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Demonstratio Mathematica
EN Operators preserving the determinant of real matrices were studied in [1], [2] and [5] under assumption that the operator is linear. In this paper the linearity of the operators is not assumed: we only assume that the operators are of the form F = [fi,j], where functions fij : [...], we characterize[...]
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Demonstratio Mathematica
EN We consider some operations on affine planes which resemble the construction of a derived affine plane at a point of the Benz plane. We call them Benz-contractions (B-contractions) , distinguishing between chain contractions and generator contractions. We prove that the Pappos-Pascal configuration i[...]
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Demonstratio Mathematica
2004 Vol. 37, nr 2 407--417
EN Weak and strong convergence of resolvents of accretive operators have been studied in this paper under different iteration schemes. In particular for an accretive operator A, the inclusion 0 Ax has been solved. Applying this result, we have found the solution of equation x + Bx = f where B is a Lip[...]
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Demonstratio Mathematica
EN We correct the mistake in the proof of Lemma 7 in our paper "Horizontal extension of connections into (2)-connections" published in Demonstratio Math. XXXVII (4) (2004).
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Demonstratio Mathematica
EN In the present paper, the norm of the bounded linear operator nabla acting on the sequence space Lp has been found and the fine spectrum with respect to Goldberg's classification of the difference operator nabla over the sequence space Lp has been determined, where 1 < p < oo.
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Demonstratio Mathematica
2005 Vol. 38, nr 1 153--162
EN There are investigated spaces v0,φ of sequences of bounded φ-variation. Spaces v0, φ are applied to the problem of weighted unconditional convergence of series. It is shown that (vo,φ,lφ* ), where lφ* means the Orlicz sequence space generated by the N-function φ*, is a pair of weighted unconditional[...]
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Demonstratio Mathematica
2005 Vol. 38, nr 4 923--934
EN In the paper a topological presentation of Petri nets has been presented. The presentation is based on a closure operation defined for an arbitrary transitive and dense binary relation. Such relations lead to a natural definition of Petri nets as a special bitopological spaces. In the paper some ele[...]
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Demonstratio Mathematica
2005 Vol. 38, nr 4 895--900
EN In this note we explore commutativity up to a factor ab = alfa ba for Hermitian or normal elements of a complex Banach algebra. Our results generalize results obtained for bounded linear operators on Hilbert spaces.
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Demonstratio Mathematica
EN In this paper we give an operatorial inequality which is applied to find estimations for the solutions of some integral and differential systems of inequalities.
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Przegląd Elektrotechniczny
2017 R. 93, nr 10 146--148
PL W artykule rozwiązano zagadnienie minimalizacji normy wahania napięcia rzeczywistego źródła energii elektrycznej, które zastępuje złożoną sieć zasilającą, uwzględniając również stany przejściowe. Stany te wywoływane są zmianami poboru mocy czynnej od strony odbiornika i kołysaniami sygnału napięcia [...]
EN In the paper was solved the problem of minimizing the standard voltage fluctuations real source of electricity, which replaces a complex supply network, also taking into account transient states. These states are caused by changes in active power consumption from the receiver and signal rocking of v[...]
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Technical Transactions
2017 Vol. 1(114) 101--112
PL W artykule podano związek między trzema typami nieprzyczynowych filtrów cyfrowych: filtrami unitarnymi, hermitowskimi i antyhermitowskimi. Dokonano też rozkładu filtru przyczynowego na kaskadę filtru hermitowskiego i unitarnego, oraz zwrócono uwagę na zastosowanie tego rozkładu do jakościowo-energet[...]
EN The paper presents the relation between the three types of noncausal digital filters: unitary, Hermitian and antihermitian filters. A decomposition has been made of a causal filter into a Hermitian and unitary filter cascade, and the use of this decomposition to calculate the electric power quality [...]
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Demonstratio Mathematica
EN True shifts for right invertible operators has been examined in several papers in various aspects (cf. PR[4], PR[5]). A generalization of Sturm separation theorem was given in PR[2] in the case when a right invertible operator under consideration had the one-dimensional kernel. Following the preprin[...]
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