Results 11 to 20 of about 165,963,646 (184)

On interpolation of the measure of noncompactness [PDF]

open access: yesProceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2006
We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method.
Fernando Cobos   +2 more
core   +5 more sources

Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces

open access: yesOpen Mathematics, 2015
In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale.
Yantir Ahmet   +2 more
doaj   +2 more sources

On a measure of noncompactness in the space of regulated functions and its applications

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper we formulate a criterion for relative compactness in the space of functions regulated on a bounded and closed interval. We prove that the mentioned criterion is equivalent to a known criterion obtained earlier by D.
Banaś Józef, Zając Tomasz
doaj   +3 more sources

Real Interpolation and Measure of Weak Noncompactness

open access: yesMathematische Nachrichten, 1995
AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Aksoy, A. G., Maligranda, Lech
openaire   +4 more sources

Existence of solutions for some classes of integro-differential equations via measure of noncompactness [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari   +2 more
doaj   +3 more sources

Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces

open access: yesJournal of Inequalities and Applications, 2016
The new sequence spaces X ( r , s , t ; Δ ) $X(r,s,t;\Delta)$ for X ∈ { l ∞ , c , c 0 } $X\in\{l_{\infty}, c, c_{0}\}$ have been defined by using generalized means and difference operator.
Elahe Abyar, Mohammad Bagher Ghaemi
doaj   +2 more sources

Solvability of functional-integral equations (fractional order) using measure of noncompactness

open access: yesAdvances in Difference Equations, 2020
We investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space.
Reza Arab   +3 more
doaj   +1 more source

Hausdorff Measure of Noncompactness of Matrix Mappings on Cesaro Spaces

open access: yes, 2021
In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on the spaces |C-alpha|(kappa) , which have more recently been introduced in [22].
Sarigol, M. Ali, Gulec, G. Canan Hazar
core   +1 more source

Solvability of an infinite system of integral equations on the real half-axis

open access: yesAdvances in Nonlinear Analysis, 2020
The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis ...
Banaś Józef, Woś Weronika
doaj   +1 more source

Solvability of fractional dynamic systems utilizing measure of noncompactness

open access: yesNonlinear Analysis, 2020
Fractional dynamics is a scope of study in science considering the action of systems. These systems are designated by utilizing derivatives of arbitrary orders.
Hemant Kumar Nashine   +3 more
doaj   +1 more source

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