Search Results - "Gulgowski, Jacek"

Bounded variation solutions to Sturm-Liouville problems by Jacek Gulgowski

“…In this article we consider singular Sturm-Liouville problems whose right-hand side is a function of bounded Jordan variation. We present necessary and…”
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Formulation of Time-Fractional Electrodynamics Based on Riemann-Silberstein Vector by Stefański, Tomasz P., Gulgowski, Jacek

“…In this paper, the formulation of time-fractional (TF) electrodynamics is derived based on the Riemann-Silberstein (RS) vector. With the use of this vector and…”
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On Applications of Elements Modelled by Fractional Derivatives in Circuit Theory by Gulgowski, Jacek, Stefański, Tomasz P., Trofimowicz, Damian

“…In this paper, concepts of fractional-order (FO) derivatives are reviewed and discussed with regard to element models applied in the circuit theory. The…”
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Modeling Exact Frequency-Energy Distribution for Quakes by a Probabilistic Cellular Automaton by Białecki, Mariusz, Gałka, Mateusz, Bagchi, Arpan, Gulgowski, Jacek

“…We develop the notion of Random Domino Automaton, a simple probabilistic cellular automaton model for earthquake statistics, in order to provide a mechanistic…”
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FDTD Method for Electromagnetic Simulations in Media Described by Time-Fractional Constitutive Relations by Pietruszka, Piotr, Stefański, Tomasz P., Gulgowski, Jacek

“…In this paper, the finite-difference time-domain (FDTD) method is derived for electromagnetic simulations in media described by the time-fractional (TF)…”
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Approximation of solutions to second order nonlinear Picard problems with Carathéodory right-hand side by Gulgowski Jacek

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Signal Propagation in Electromagnetic Media Modelled by the Two-Sided Fractional Derivative by Gulgowski, Jacek, Kwiatkowski, Dariusz, Stefański, Tomasz P.

“…In this paper, wave propagation is considered in a medium described by a fractional-order model, which is formulated with the use of the two-sided fractional…”
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Bernstein approximations of Dirichlet problems for elliptic operators on the plane by Jacek Gulgowski

“…We study the finitely dimensional approximations of the elliptic problem $$displaylines{ (Lu)(x,y) + varphi(lambda,(x,y),u(x,y) ) = 0 quad hbox{for }…”
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On integral bounded variation by Gulgowski, Jacek

“…In this paper we will investigate the concept of the q -integral p -variation introduced in 1970’s by Terehin. This kind of integral variation has been mainly…”
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Properties of local orthonormal systems Part I: Unconditionality in Lp$L^p$, 1<p<∞$1<p<\infty by Gulgowski, Jacek, Kamont, Anna, Passenbrunner, Markus

“…Assume that we are given a filtration (Fn)$(\mathcal F_n)$ on a probability space (Ω,F,P)$(\Omega,\mathcal F,\mathbb {P})$ of the form that each Fn$\mathcal…”
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Bifurcation of solutions of nonlinear Sturm-Liouville problems by Gulgowski Jacek

“…A global bifurcation theorem for the following nonlinear Sturm-Liouville problem is given Moreover we give various versions of existence theorems for boundary…”
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Signal propagation in electromagnetic media described by fractional-order models by Stefański, Tomasz P., Gulgowski, Jacek

“…•In this paper, the signal propagation is analysed in electromagnetic media described by fractional-order (FO) models (FOMs). Maxwell’s equations with FO…”
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On integral operators and nonlinear integral equations in the spaces of functions of bounded variation by Bugajewski, Dariusz, Gulgowski, Jacek, Kasprzak, Piotr

“…In this paper we introduce new conditions on a kernel of a linear Fredholm integral operator which turn out to be sufficient and necessary for that operator to…”
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Electromagnetic-based derivation of fractional-order circuit theory by Stefański, Tomasz P., Gulgowski, Jacek

“…•The proposed derivations of the foundations of fractional-order circuit theory are based on quasi-static approximations of fractional-order Maxwell’s…”
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Modelling and simulations in time-fractional electrodynamics based on control engineering methods by Trofimowicz, Damian, Stefański, Tomasz P., Gulgowski, Jacek, Talaśka, Tomasz

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Fundamental properties of solutions to fractional-order Maxwell's equations by Stefański, Tomasz P., Gulgowski, Jacek

“…In this paper, fundamental properties of solutions to fractional-order (FO) Maxwell's equations are analysed. As a starting point, FO Maxwell's equations are…”
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Absorbing Boundary Conditions Derived Based on Pauli Matrices Algebra by Stefanski, Tomasz P., Gulgowski, Jacek, Tsakmakidis, Kosmas L.

“…In this letter, we demonstrate that a set of absorbing boundary conditions (ABCs) for numerical simulations of waves, proposed originally by Engquist and Majda…”
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Generalization of Kramers-Krönig relations for evaluation of causality in power-law media by Gulgowski, Jacek, Stefański, Tomasz P.

“…•The Kramers-Krönig relations are generalized towards functions which are not square integrable.•We propose generalization of the Kramers-Krönig relations with…”
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Generalized Dold Sequences on Partially-Ordered Sets by Graff, Grzegorz, Gulgowski, Jacek, Lebiedź, Małgorzata

“…Dold sequences constitute an important class of integer sequences that play an important role in combinatorics, number theory, topology and dynamical systems…”
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Bernstein approximations of nonlinear Sturm–Liouville problems by Gulgowski, Jacek

“…In this paper we deal with Sturm–Liouville boundary value problems (∗) { u ″ ( t ) + φ ( t , u ( t ) , u ′ ( t ) , λ ) = 0 t ∈ ( 0 , 1 ) l ( u ) = 0 and their…”
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