On measure of noncompactness and application to global attractors of operator semigroups
, 2021 Based on the recent development of the theory of measures of noncompactness, we rst show a representation theorem of measures of noncompactness dened on Banach spaces.
Zheng, Zheming +4 more
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The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations [PDF]
, 2013 We study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis.
Józef Banaś, Szymon Dudek
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Hausdorff Measure of Noncompactness of Matrix Mappings on Certain Difference Sequence Spaces
, 2022 The well-known difference sequence spaces were introduced by Kızmaz [16] in 1981 and have been generalized by many authors uptill now. These spaces were extended for the first time by Sarıgöl [30] to the sequence spaces l∞(∆q), c(∆q) and c0(∆q).
Gökçe, Fadime, Fadime Gökçe
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An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay
Abstract and Applied Analysis, 2013 We deal with the existence of mild solutions of a class of nonlocal impulsive second-order functional differential equations with finite delay in a real Banach space .
Fang Li, Huiwen Wang
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Fractional dynamic system simulating the growth of microbe. [PDF]
Adv Differ Equ, 2021 Hadid SB, Ibrahim RW.
europepmc +1 more source
Measures of noncompactness in Hilbert $C^*$-modules [PDF]
Consider a countably generated Hilbert $C^*$-module $\mathcal M$ over a $C^*$-algebra $\mathcal A$. There is a measure of noncompactness $λ$ defined, roughly as the distance from finitely generated projective submodules, which is independent of any ...
Kečkić, Dragoljub J., Lazović, Zlatko
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Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]
, 2006 2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips.
da Silva, Eduardo Brandani +1 more
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Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures
Discrete Dynamics in Nature and Society, 2012 The existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the ...
Wen-Xue Zhou, Jigen Peng
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Convergence Theorems and Measures of Noncompactness for Noncompact Urysohn Operators in Ideal Spaces
Journal of Integral Equations and Applications, 2004 The author considers the following nonlinear integral equation of Urysohn type \[ A(f)x(t):= \int_S f(t, s,x(s))\,ds,\quad t\in T, \] where the integral is in the Bochner sense. He establishes an estimate for the measure of noncompactness of the Urysohn operator and proves a convergence theorem for a sequence of simpler Urysohn operators which are ...
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, 2011 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.
Ravi P. Agarwal +5 more
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