The Concept of Measures of Noncompactness in Banach Spaces
This article is a survey, and its aim is to provide a concise introduction to the topic of measures of noncompactness and measures of weak noncompactness in Banach spaces. These measures constitute a useful tool in nonlinear analysis, for example, in studies on the existence of solutions to nonlinear differential and integral equations.
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Measures of noncompactness and asymptotic stability of solutions of a quadratic hammerstein integral equation [PDF]
In this paper we consider the existence of asymptotically stable solutions of a quadratic Hammerstein integral equation. This equation is investigated in the space of real functions defined, bounded and continuous on the real half-axis.
O\u27Regan, Donal +2 more
core
Integral equations of fractional order with multiple time delays in Banach spaces
In this article, we give sufficient conditions for the existence of solutions for an integral equation of fractional order with multiple time delays in Banach spaces.
Mouffak Benchohra, Djamila Seba
doaj
MEASURE OF NON-COMPACTNESS IN THE LORENTZ SPACES
Geometric characteristics of regular spaces are determined. Examples of regular spaces are the Lebesgue and Lorentz spaces, in particular. For the Lorentz spaces an inequality for arbitrary subsets, connecting the measures of noncompactness and are ...
N. A. Erzakova
doaj
Matrix Transformations, Measures of Noncompactness, and Applications
S. A. Mohiuddine +5 more
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Measures of Noncircularity and Fixed Points of Contractive Multifunctions
In analogy to the Eisenfeld-Lakshmikantham measure of nonconvexity and the Hausdorff measure of noncompactness, we introduce two mutually equivalent measures of noncircularity for Banach spaces satisfying a Cantor type property, and apply them to ...
Marrero Isabel
doaj
Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay. [PDF]
Gou H, Li B.
europepmc +1 more source
Machine learning assisted DSC-MRI radiomics as a tool for glioma classification by grade and mutation status. [PDF]
Sudre CH +28 more
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Seed-Fill-Shift-Repair: A redistricting heuristic for civic deliberation. [PDF]
Haas C +4 more
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In this paper, we shall establish sufficient conditions for the existence, approximate controllability, and Ulam–Hyers–Rassias stability of solutions for impulsive integrodifferential equations of second order with state-dependent delay using the ...
Abdelhamid Bensalem +3 more
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