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The measure of noncompactness of Sobolev embeddings
Integral Equations and Operator Theory, 1994The author gives new formulas for the upper \(q\)-norm of the embedding \(I: W^ k_ p(Q)\to L_ q(Q)\) \((Q\subset \mathbb{R}^ n)\). She also proves necessary and sufficient conditions for a bounded linear operator to be semi-Fredholm.
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Minimal Sets for a Measure of Noncompactness
1997The notion of a o-minimal set for an MNC o was introduced in [Do1] in order to study the relationships between condensing mappings for Kuratowski and Haus-dorff’s measures of noncompactness (see Chapter X).
J. M. Ayerbe Toledano +2 more
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Impulsive integrodifferential Equations and Measure of noncompactness
2016This paper is concerned with the existence of mild solutions for impulsive integro-differential equations with nonlocal conditions. We apply the technique measure of noncompactness in the space of piecewise continuous functions and by using Darbo-Sadovskii's fixed point theorem, we prove reasults about impulsive integro-differential equations for ...
Valipour Baboli, Alireza, Ghaemi, M.B.
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On Some Results Using Measures of Noncompactness
2017In this chapter, we review some results on measures of noncompactness, including an axiomatic introduction, a study of the Kuratowski, Hausdorff, inner Hausdorff and separation measures of noncompactness, a survey of their most important properties and their roles in fixed-point theory and operator theory.
Eberhard Malkowsky, Vladimir Rakočević
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Theorems of ascoli type involving measures of noncompactness
Nonlinear Analysis: Theory, Methods & Applications, 1981openaire +2 more sources

