Results 81 to 90 of about 175,704,569 (186)
ON KURATOWSKI MEASURE OF NONCOMPACTNESS IN R 2 WITH THE RIVER METRIC
, 2020 In this paper we onsider some properties of the Kuratowski measure of noncompatness on the space (R2 , d* ), where d* is river metric. We prove the existence of the α-minimal sets in the given space, but also the strict minimalizability of the Kuratowski
Reki¢-Vukovi¢, Amra, OKICIC, NERMIN
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Results in Nonlinear Analysis, 2020 We consider the controllability problem for a class of fractional impulsive evolution systems of mixed type in an infinite dimensional Banach space. The existence of mild solutions and controllability results are discussed by a new estimation technique
Duraisamy Senthil Raja, Ponnusamy Sundararajan, Kulandhaivel Karthikeyan
doaj
A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations [PDF]
, 2016 We introduce the concept of cone measure of noncompactness and obtain some generalizations of Darbo’s theorem via this new concept. As an application, we establish an existence theorem for a system of integral equations.
Jleli, Mohamed +8 more
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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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Semigroups of operators and measures of noncompactness
Journal of Functional Analysis, 1971 AbstractIt is observed that the perturbation class of an open semigroup in a Banach algebra is a closed two-sided ideal. Certain seminorms on the algebra of bounded operators are introduced; these seminorms induce norms on the quotient algebra modulo the ideal of compact operators.
Lebow, Arnold, Schechter, Martin
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Spatial dynamics of a viral infection model with immune response and nonlinear incidence. [PDF]
Z Angew Math Phys, 2023 Zheng T, Luo Y, Teng Z.
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International Journal of Differential Equations, 2018 By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.
Haide Gou, Baolin Li
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International Journal of Differential Equations, 2014 We consider an impulsive neutral fractional integrodifferential equation with infinite delay in an arbitrary Banach space X. The existence of mild solution is established by using solution operator and Hausdorff measure of noncompactness.
Alka Chadha, Dwijendra N. Pandey
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Fractional dynamic system simulating the growth of microbe. [PDF]
Adv Differ Equ, 2021 Hadid SB, Ibrahim RW.
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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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