Results 21 to 30 of about 175,704,569 (186)

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

Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness

open access: yesNonlinear Analysis, 2022
In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b).
Taqi A.M. Shatnawi   +3 more
doaj   +1 more source

A New Variant of Symmetric Distance Spaces and an Extension of the Banach Fixed-Point Theorem

open access: yesJournal of Mathematics, 2022
The notion of Δ-metric spaces has been proposed in this study as a generalization of b-metric spaces, extended b-metric spaces, and p-metric spaces. A number of topological characteristics of such spaces have been investigated in this paper.
Kushal Roy   +3 more
doaj   +1 more source

Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix [PDF]

open access: yes, 2013
The sequence spaces c(0)(B), l(infinity)(B) have recently been introduced by Somez (Comput. Math. Appl. 62: 641-650, 2011). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of ...
Ali Karaisa, Karaisa, Ali
core   +1 more source

On the measure of non-compactness of maximal operators

open access: yesJournal of Function Spaces and Applications, 2004
In one of the previous articles of the author it was proved that if B is a convex quasi-density measurable basis and E is a symmetric space on Rn with respect to the Lebesgue measure, then there do not exist non-orthogonal weights w and v for which the ...
Georgi G. Oniani
doaj   +1 more source

Generalized quasi-Banach sequence spaces and measures of noncompactness

open access: yesAnais da Academia Brasileira de Ciências, 2013
Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA   +2 more
doaj   +1 more source

Remarks on a measure of weak noncompactness in the Lebesgue space

open access: yes, 1995
Using the concept of equi-integrability we introduce a measure of weak noncompactness in the Lebesgue space L 1 (0, l).
Sadarangani, Kishin, Bana´, Józef
core   +1 more source

Investigation of the neutral fractional differential inclusions of Katugampola-type involving both retarded and advanced arguments via Kuratowski MNC technique

open access: yesAdvances in Difference Equations, 2021
A class of the boundary value problem is investigated in this research work to prove the existence of solutions for the neutral fractional differential inclusions of Katugampola fractional derivative which involves retarded and advanced arguments.
Sina Etemad   +4 more
doaj   +1 more source

On a measure of non-compactness for singular integrals

open access: yesJournal of Function Spaces and Applications, 2003
It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below.
Alexander Meskhi
doaj   +1 more source

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