Results 21 to 30 of about 165,963,646 (184)

Infinite System of Differential Equations in Some Spaces

Abstract and Applied Analysis, 2012
The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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On the De Blasi Measure of Noncompactness and Solvability of a Delay Quadratic Functional Integro-Differential Equation

Mathematics, 2022
Quadratic integro-differential equations have been discussed in many works, for instance. Some analytic results on the existence and the uniqueness of problem solutions to quadratic integro-differential equations have been investigated in different ...
Ahmed M. A. El-Sayed, Eman M. A. Hamdallah, Malak M. S. Ba-Ali   +2 more
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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

Nonlinear 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, Ahmed Boudaoui, Wasfi Shatanawi, Noura Laksaci   +3 more
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A New Variant of Symmetric Distance Spaces and an Extension of the Banach Fixed-Point Theorem

Journal 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, Mantu Saha, Vahid Parvaneh, Maryam Khorshidi   +3 more
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On the measure of non-compactness of maximal operators

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

Advances 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, Mohammed Said Souid, Benoumran Telli, Mohammed K. A. Kaabar, Shahram Rezapour   +4 more
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The class of F-contraction mappings with a measure of noncompactness

, 2017
In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings.
Francesca Vetro, Calogero Vetro, Vetro, Calogero, Vetro, Francesca   +3 more
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Generalized quasi-Banach sequence spaces and measures of noncompactness

Anais 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, DIOCESAR L. FERNANDEZ, LUDMILA NIKOLOVA   +2 more
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Table of Contents

, 2022
Table of ...
The Measure
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On a measure of non-compactness for singular integrals

Journal 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