Results 31 to 40 of about 14,437 (302)

Measure of non-compactness and interpolation methods associated to polygons [PDF]

Glasgow Mathematical Journal, 1999
We establish an estimate for the measure of non-compactness of an interpolated operator acting from a J-space into a K-space. Our result refers to general Banach N-tuples. We also derive estimates for entropy numbers if some of the N-tuples reduce to a single Banach space.
Cobos, Fernando, Fernández-Martínez, Pedro, Martínez, Antón   +2 more
openaire   +1 more source

On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C(I)

Fractal and Fractional, 2022
This paper is concerned with the existence of the solution to mixed-type non-linear fractional functional integral equations involving generalized proportional (κ,ϕ)-Riemann–Liouville along with Erdélyi–Kober fractional operators on a Banach space C([1,T]
Vijai Kumar Pathak, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Dumitru Baleanu   +3 more
doaj   +1 more source

Existence result for a fractional differential equation involving a special derivative

Moroccan Journal of Pure and Applied Analysis, 2022
In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space.
Beddani Moustafa, Hedia Benaouda
doaj   +1 more source

Existence of Solutions for a Coupled Hadamard Fractional System of Integral Equations in Local Generalized Morrey Spaces

Axioms
This paper introduces a new measure of non-compactness within a bounded domain of RN in the generalized Morrey space. This measure is used to establish the existence of solutions for a coupled Hadamard fractional system of integral equations in ...
Asra Hadadfard, Mohammad Bagher Ghaemi, António M. Lopes   +2 more
doaj   +1 more source

Measures of non-compactness of operators in Banach lattices

Journal of Functional Analysis, 1988
Let E and F be complex Banach lattices and T an order bounded linear operator from E to F. The ball measure of non-compactness \(\beta\) (T) [e.g., see \textit{K. Deimling}, Nonlinear Functional Analysis (1985; Zbl 0559.47040)] is studied utilizing a measure of non-semicompactness introduced in this paper.
de Pagter, B, Schep, A.R
openaire   +2 more sources

Application of Fixed Point Theorem to Solvability for Non-Linear Fractional Hadamard Functional Integral Equations

Mathematics, 2022
In the present paper, our main work aims to discover the existence result of the fractional order non-linear Hadamard functional integral equations on [1,a] by employing the theory of measure of non-compactness together with the fixed point theory in ...
Vijai Kumar Pathak, Lakshmi Narayan Mishra   +1 more
doaj   +1 more source

Quasi s-numbers and measures of non-compactness of multilinear operators

Annales Academiae Scientiarum Fennicae Mathematica, 2013
Let \(X_1, \dots, X_m, Y\) be Banach spaces and \({\mathcal L}_m(X_1\times \dots\times X_m, Y)\) the Banach space of all \(m\)-linear bounded operators from \(X_1\times \dots\times X_m\) to \(Y\). Following the theory of \(s\)-numbers for linear operators, the authors introduce the notion of quasi \(s\)-numbers for multilinear operators. A mapping \(s=(
Fernandez, Dicesar L., Mastyło, Mieczysław, da Silva, Eduardo B.   +2 more
openaire   +2 more sources

Compactness via Hausdorff measure of non-compactness and some properties on Tetranacci sequence spaces

Dera Natung Government College Research Journal
The characterization of compact operators on BK-spaces, which is the basis of this research, makes use of the Hausdorff measure of non-compactness. In this study, the compactness criteria of matrix operators defined on BK-spaces $\ell_p(\mathcal{T})$ and
Sezer Erdem, Serkan Demiriz
doaj   +1 more source

The HIT Network for Children and Adolescents With CNS Tumors Facilitates Improvements of Diagnostic Assessments, Multimodal Treatments, Individual Counseling, and Research in Germany, Austria, and Switzerland

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The HIT network was established in 2000 to create a population‐based structure aiming to improve survival rates and reduce late effects for children with central nervous system (CNS) tumors by conducting comprehensive clinical trials.
Stefan Rutkowski, Michael C. Frühwald, Gudrun Fleischhack, Stephan Tippelt, Pablo Hernáiz‐Driever, Olaf Witt, Astrid Gnekow, Christof Kramm, Matthias Eyrich, Johannes E. A. Wolf, Hermann Müller, Carsten Friedrich, Uwe R. Kordes, Denise Obrecht‐Sturm, Petra Ketteler, Barbara von Zezschwitz, Pascal Johann, Dominik Sturm, Karoline Nemes, Stefan Schönberger, Till Milde, Brigitte Bison, Monika Warmuth‐Metz, Torsten Pietsch, Ulrich Schüller, Arend Koch, David Capper, Martin Hasselblatt, Christian Thomas, Christian Hagel, Stefan M. Pfister, Felix Sahm, David T. W. Jones, Martin U. Schuhmann, Jürgen Krauss, Pedram Emami, Ahmed El Damaty, Rolf D. Kortmann, Rudolf Schwarz, Jürgen Debus, Mechthild Krause, Fabian Pohl, Holger Ottensmeier, Lisa Bußenius, Katja Baust, Andreas Faldum, Cecile Ronckers, Desiree Grabow, Martin Benesch, Thomas Perwein, Karin Dieckmann, Irene Slavc, Johannes Gojo, Nicolas U. Gerber, André O. von Bueren, Katrin Scheinemann, Gabriele Calaminus, Beate Timmermann, Ulrich‐Wilhelm Thomale, Martin Mynarek   +59 more
wiley   +1 more source

Information theoretic measures of dependence, compactness, and non-gaussianity for multivariate probability distributions [PDF]

Nonlinear Processes in Geophysics, 2009
A basic task of exploratory data analysis is the characterisation of "structure" in multivariate datasets. For bivariate Gaussian distributions, natural measures of dependence (the predictive relationship between individual variables) and ...
A. H. Monahan, T. DelSole
doaj