Lodz University of Technology

output

19962026

most citedLow-Mass Dark Matter Search with the DarkSide-50 Experiment

443 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing math.CAShow all

15 papers · 1 filter

math.CA2023★ 1 cited

Characterizations of second-order differential operators

Włodzimierz Fechner, Eszter Gselmann, Aleksandra Świątczak

{Let $N, k$ be positive integers with $k \geq 2$ , and $Ω \subset R^{N}$ be a domain.} By the well-known properties of the Laplacian and the gradient, we have \[ Δ(f\cdot g)(…

math.CA2021

Cutting sets of continuous functions on the unit interval

Marek Balcerzak, Piotr Nowakowski, Michał Popławski

For a function $f : [0, 1] \to R$ , we consider the set $E (f)$ of points at which $f$ cuts the real axis. Given $f : [0, 1] \to R$ and a Cantor set $D\subset [0,1]…

math.CA2020★ 8 cited

Moment functions on groups

Żywilla Fechner, Eszter Gselmann, László Székelyhidi

The main purpose of this work is to prove characterization theorems for generalized moment functions on groups. According one of the main results these are exponential polynomials…

math.CA2020★ 2 cited

Multiple solutions of the Dirichlet problem in multidimensional billiard spaces

Grzegorz Gabor, Jan Tomeček

Dirichlet problem in an $n$ -dimensional billiard space is investigated. In particular, the system of ODEs $x ¨ (t) = f (t, x (t))$ together with Dirichlet boundary conditions $x(0)…

math.CA2020★ 7 cited

Conditions for the difference set of a central Cantor set to be a Cantorval

Piotr Nowakowski, Tomasz Filipczak

Let $C (λ) \subset [0, 1]$ denote the central Cantor set generated by a sequence $λ = (λ_{n}) \in (0, \frac{1}{2})^{N}$ . By the known trichot…

math.CA2019

Convexity properties of functions defined on metric Abelian groups

Włodzimierz Fechner, Zsolt Páles

The notions of quasiconvexity, Wright convexity and convexity for functions defined on a metric Abelian group are introduced. Various characterizations of such functions, the struc…

math.CA2019★ 7 cited

Richard's inequality, Cauchy-Schwarz's inequality and approximate solutions of Sincov's equation

Włodzimierz Fechner

We observe a connection between Cauchy-Schwarz' and Richard's inequalities in inner product spaces and a Ulam-type stability problem for multiplicative Sincov's functional equation…

math.CA2017

Solvability of abstract semilinear equations by a global diffeomorphism theorem

Michal Beldzinski, Marek Galewski, Robert Steglinski

In this work we proivied a new simpler proof of the global diffeomorphism theorem from [9] which we further apply to consider unique solvability of some abstract semilinear equatio…

math.CA2017★ 10 cited

On generating regular Cantorvals connected with geometric Cantor sets

Artur Bartoszewicz, Małgorzata Filipczak, Szymon Głcab +2

We show that the Cantorvals connected with the geometric Cantor sets are not achievement sets of any series. However many of them are attractors of IFS consisting of affine functio…

math.CA2015

A note on a global invertibility of mappings on $R^{n}$

Marek Galewski

We provide sufficient conditions for a mapping $f : R^{n} \to R^{n}$ to be a global diffeomorphism in case it is strictly (Hadamard) differentiable. We use classical local inv…

math.CA2014

Existence results for one-dimensional fractional equations

Marek Galewski, Giovanni Molica Bisci

In this note a critical point result for differentiable functionals is exploited in order to prove that a suitable class of one-dimensional fractional problems admits at least one…

math.CA2013★ 2 cited

Multigeometric sequences and Cantorvals

Artur Bartoszewicz, Małgorzata Filipczak, Emilia Szymonik

For a sequence $x \in l_{1} ∖ c_{00}$ , one can consider the achievement set $E (x)$ of all subsums of series $\sum_{n = 1}^{\infty} x (n)$ . It is known that $E (x)$ is one of the…

math.CA2011

A note on the dependence on parameters for a nonlinear system via monotonicity theory

Marek Galewski

Using monotonicity theory we investigate the continuous dependence on parameters for the discrete BVPs which can be written in a form of a nonlinear system.

math.CA2010

Dependence on parameters for a discrete Emden-Fowler equation

Marek Galewski

We investigate the dependence on parameters for the discrete boundary value problem connected with the Emden-Fowler equation. A variational method is used in order to obtain a gene…

math.CA2009★ 4 cited

Dependence on parameters for discrete second order boundary value problems

Marek Galewski

We investigate the dependence on parameters for second order difference equations with two point boundary value conditions by using a variational method in case when the correspond…

Characterizations of second-order differential operators

Cutting sets of continuous functions on the unit interval

Moment functions on groups

Multiple solutions of the Dirichlet problem in multidimensional billiard spaces

Conditions for the difference set of a central Cantor set to be a Cantorval

Convexity properties of functions defined on metric Abelian groups

Richard's inequality, Cauchy-Schwarz's inequality and approximate solutions of Sincov's equation

Solvability of abstract semilinear equations by a global diffeomorphism theorem

On generating regular Cantorvals connected with geometric Cantor sets

A note on a global invertibility of mappings on Rn

Existence results for one-dimensional fractional equations

Multigeometric sequences and Cantorvals

A note on the dependence on parameters for a nonlinear system via monotonicity theory

Dependence on parameters for a discrete Emden-Fowler equation

Dependence on parameters for discrete second order boundary value problems

A note on a global invertibility of mappings on $R^{n}$