Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Diana Caponetti"'
Publikováno v:
Mathematics, Vol 10, Iss 21, p 3973 (2022)
We introduce the concepts of extended equimeasurability and extended uniform quasiboundedness in groups of group-valued mappings endowed with a topology that generalizes the topology of convergence in measure. Quantitative characteristics modeled on
Externí odkaz:
https://doaj.org/article/49446177a33b4adda7fb83a774829875
Publikováno v:
Mathematics, Vol 8, Iss 12, p 2164 (2020)
In this paper we investigate the unified theory for solutions of differential equations without impulses and with impulses, even at variable times, allowing the presence of beating phenomena, in the space of regulated functions. One of the aims of th
Externí odkaz:
https://doaj.org/article/b612bf81e44a4752ab8f2384fa3c6013
Publikováno v:
Banach Journal of Mathematical Analysis. 17
In this paper we estimate the Kuratowski and the Hausdorff measures of noncompactness of bounded subsets of spaces of vector-valued bounded functions and of vector-valued bounded differentiable functions. To this end, we use a quantitative characteri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88bcbd1d768a11926d5bbc948ced8f3a
https://doi.org/10.1007/s43037-023-00271-4
https://doi.org/10.1007/s43037-023-00271-4
In this paper we deal with the Banach space C-b(m)[0,+infinity] of all m-times continuously derivable, bounded with all derivatives up to the order m, real functions defined on [0, +infinity). We prove, for any epsilon > 0, the existence of a new pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df28caeff333868ff2f5a50f6b0f1145
http://hdl.handle.net/10447/539198
http://hdl.handle.net/10447/539198
Publikováno v:
Computational and Applied Mathematics. 38
In this paper we analyze how to compute discontinuous solutions for functional differential equations, looking at an approach which allows to study simultaneously continuous and discontinuous solutions. We focus our attention on the integral represen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ab95cf6b41dabe1c851ac39902f7695
https://doi.org/10.1007/s40314-019-0927-0
https://doi.org/10.1007/s40314-019-0927-0
Publikováno v:
Monatshefte für Mathematik. 182:513-536
We confine our attention to convergence theorems and descriptive relationships within some subclasses of Riemann-measurable vector-valued functions that are based on the various generalizations of the Riemann definition of an integral.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f771168fdfcd0be33424774af52e0e08
https://doi.org/10.1007/s00605-016-0923-z
https://doi.org/10.1007/s00605-016-0923-z
Publikováno v:
Journal of Mathematical Analysis and Applications. 421:1151-1162
Let f be a function defined on [ 0 , 1 ] and taking values in a Banach space X . We show that the limit set I HK ( f ) of Henstock–Kurzweil integral sums is non-empty and convex when the function f has an integrable majorant and X is separable. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::860bd80849984a6d0c5875975f5fc702
https://doi.org/10.1016/j.jmaa.2014.07.050
https://doi.org/10.1016/j.jmaa.2014.07.050
Autor:
Grzegorz Lewicki, Diana Caponetti
In this paper we prove the admissibility of modular function spaces E ρ considered and defined by Kozlowski in [17] . As an application we get that any compact and continuous mapping T : E ρ → E ρ has a fixed point. Moreover, we prove that the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::156e75f2279c7e3ca75d1d0340acf362
http://ruj.uj.edu.pl/xmlui/handle/item/39718
http://ruj.uj.edu.pl/xmlui/handle/item/39718
We define and study the moduli d(x, 𝓐, D) and i(x, 𝓐,D) related to monotonicity of a given function x of the space L 0(Ω) of real-valued “measurable” functions defined on a linearly ordered set Ω. We extend the definitions to subsets X of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e90be1ef315727e81e777ce647972fd9
http://hdl.handle.net/10447/254096
http://hdl.handle.net/10447/254096
Publikováno v:
Topol. Methods Nonlinear Anal. 53, no. 1 (2019), 111-125
In this paper for any $\varepsilon >0$ we construct a new proper $k$-ball-contractive retraction of the closed unit ball of the Banach space $C^m [0,1]$ onto its boundary with $k < 1+ \varepsilon$, so that the Wośko constant $W_\gamma (C^m [0,1])$ i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b6485ef3537cf34d32a342c1427ab1c
https://doi.org/10.12775/tmna.2018.041
https://doi.org/10.12775/tmna.2018.041