Abstract random differential equations with state-dependent delay using measures of noncompactness
Nonlinear AnalysisThis paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay.
Amel Heris +4 more
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Regular measures of noncompactness and Ascoli–Arzelà type compactness criteria in spaces of vector-valued functions [PDF]
, 2023 In this paper we estimate the Kuratowski and the Hausdorff measures of noncompactness of bounded subsets of spaces of vector-valued bounded functions and of vector-valued bounded differentiable functions. To this end, we use a quantitative characteristic
Caponetti, D +5 more
core +1 more source
MEASURES OF NONCOMPACTNESS IN ULTRAPRODUCTS [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractWe investigate the connection between measures of noncompactness of a bounded subset of a given Banach space and the corresponding measures of noncompactness of an ultrapower of this subset. The Kuratowski, Hausdorff and separation measures of noncompactness are considered. We prove that in the first two cases the measures of a subset are equal
WIESŁAWA KACZOR +3 more
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On interpolation of the measure of noncompactness [PDF]
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2006 We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method.
Fernando Cobos +2 more
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Solvability of an infinite system of integral equations on the real half-axis
Advances 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
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Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces [PDF]
Opuscula Mathematica, 2012 The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra, Fatima-Zohra Mostefai
doaj +1 more source
An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces
Boundary Value Problems, 2009 The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the technique associated with measures of noncompactness.
Djamila Seba +2 more
doaj +2 more sources
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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Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2016 In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi +2 more
doaj +1 more source
Existence Results for Fractional Integral Equations in Frechet Spaces
Journal of Mathematical Sciences and Modelling, 2022 The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval.
Said Baghdad
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