Results 11 to 20 of about 1,488 (168)
Measures of noncompactness on w-distance spaces [PDF]
Mathematica Moravica, 2021 The aim of this paper is to provide a new framework for the study of measures of noncompactness in generalized metric spaces. Firstly, we introduce the notion of w-measure of noncompactness on metric spaces with a w-distance and extend the diameter and ...
Kostić Aleksandar
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Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2010 The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra +2 more
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A New Survey of Measures of Noncompactness and Their Applications
Axioms, 2022 We present a survey of the theory of measures of noncompactness and discuss some fixed point theorems of Darbo’s type. We apply the technique of measures of noncompactness to the characterization of classes of compact operators between certain sequence ...
Moosa Gabeleh +3 more
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Positive solutions of fractional integral equations by the technique of measure of noncompactness [PDF]
Journal of Inequalities and Applications, 2017 In the present study, we work on the problem of the existence of positive solutions of fractional integral equations by means of measures of noncompactness in association with Darbo’s fixed point theorem. To achieve the goal, we first establish new fixed
Hemant Kumar Nashine +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 ...
Cobos, Fernando +2 more
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ON MEASURES OF NONCOMPACTNESS IN INEQUALITIES
Научный вестник МГТУ ГА, 2017 Measures of noncompactness are numerical characteristics of bounded subsets of metric space, equal to zero on relatively compact subsets. The quantitative characteristic of measure of noncompactness of metric space subset was introduced by K. Kuratovskiy
N. A. Erzakova
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Mathematics, 2021 In this paper, a tripled fractional differential system is introduced as three associated impulsive equations. The existence investigation of the solution is based on contraction principle and measures of noncompactness in terms of tripled fixed point ...
Sina Etemad +3 more
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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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Existence of weak solutions to stochastic evolution inclusions [PDF]
, 2004 We consider the Cauchy problem for a semilinear stochastic differential inclusion in a Hilbert space. The linear operator generates a strongly continuous semigroup and the nonlinear term is multivalued and satisfies a condition which is more heneral than
De Fitte, Paul Raynaud +2 more
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A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]
, 2014 We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana +2 more
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