Zobrazeno 1 - 10
of 4 193
pro vyhledávání: '"Hausdorff measure"'
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 552-566 (2024)
The objective of this study is to determine the criteria under which the infinite system of integral equations in three variables has a solution in the Banach tempering sequence space c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }, utilizing the
Externí odkaz:
https://doaj.org/article/24aa0ab1c01040bda00dc6140ced568c
Autor:
Sezer Erdem
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24193-24212 (2024)
This study aims to construct the BK-spaces $ \ell_p(\mathcal{M}) $ and $ \ell_{\infty}(\mathcal{M}) $ as the domains of the conservative Motzkin matrix $ \mathcal{M} $ obtained by using Motzkin numbers. It investigates topological properties, obtains
Externí odkaz:
https://doaj.org/article/63d19b1e33fd4093b7fcc1c6db3b0c9a
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 6411-6423 (2024)
A study of a class of nonlinear differential equations involving the $ \varphi $-Caputo type derivative in a Banach space framework is presented. Weissinger's and Meir-Keeler's fixed-point theorems are used to achieve some quantitative results. Two i
Externí odkaz:
https://doaj.org/article/1d477c368a37496bad6e7e1cbf3a611a
Autor:
Ma Weifeng, Li Yongxiang
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 77-85 (2023)
In this article, without assuming the compactness of semigroup, we deal with the existence and uniqueness of a mild solution for semilinear impulsive evolution equation with nonlocal condition in a reflexive Banach space by applying the approximate s
Externí odkaz:
https://doaj.org/article/e9c197d76cd049f5ab35b499c96a76b4
Autor:
Najmeddine Attia, Amal Mahjoub
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 23548-23565 (2023)
Multifractal analysis is typically used to describe objects possessing some type of scale invariance. During the last few decades, multifractal analysis has shown results of outstanding significance in theory and applications. In particular, it is wi
Externí odkaz:
https://doaj.org/article/74a10874523f4f8f97f13f5549a09437
Autor:
Franchi Bruno, Markina Irina
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 11, Iss 1, Pp 101-129 (2023)
We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point
Externí odkaz:
https://doaj.org/article/eb9a3eb698514533ab1fa9c97f2f1cca
Autor:
Najmeddine Attia, Bilel Selmi
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 12889-12921 (2023)
The properties of various fractal and multifractal measures and dimensions have been under extensive study in the real-line and higher-dimensional Euclidean spaces. In non-Euclidean spaces, it is often impossible to construct non-trivial self-similar
Externí odkaz:
https://doaj.org/article/d3b60e06f48e4676b76091e6ce5ee7ac
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 21, Pp 17-32 (2022)
In this work, we characterize the class of compact matrix operators from c0(Q), c(Q) and l∞(Q) into c0, c and l∞, respectively, with the notion of the Hausdorff measure of noncompactness. Moreover, we determine some geometric properties of the se
Externí odkaz:
https://doaj.org/article/4a0c5b091637429c8ab4174bb630a911
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