Results 111 to 120 of about 789 (128)
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A compactness criterion and the Hausdorff measure of noncompactness for subsets of the space of measurable functions

1984
Let \(\Omega\) be a Lebesgue-measurable subset of \({\mathbb{R}}^ n\), M(\(\Omega)\) the space of all Lebesgue-measurable functions on \(\Omega\) to \({\mathbb{R}}\) and \(T_ 0(\Omega)\) its subspace of all totally measurable functions [in the sense of \textit{N. Dunford} and \textit{J. T.
De Pascale, E., Trombetta, G.
openaire   +2 more sources

Applications of the Hausdorff Measure of Noncompactness on the Space $$l_p(r,s, t; B^{(m)})$$, $$1\le p< \infty $$

2014
In this paper, we have introduced a sequence space \(l_p(r,s, t; B^{(m)})\), \(1\le p< \infty \) and proved that the space is a complete normed linear space. We have also shown that the space \(l_p(r,s, t; B^{(m)})\) is linearly isomorphic to \(l_p\) for \(1\le p< \infty \).
Amit Maji, P. D. Srivastava
openaire   +1 more source

Minimal sets for the Hausdorff measure of noncompactness and related coefficients

Nonlinear Analysis: Theory, Methods & Applications, 2001
MALUTA, ELISABETTA, S. Prus
openaire   +2 more sources

Abstract Cauchy problem for fractional differential equations

Nonlinear Dynamics, 2012
JinRong Wang, Yong Zhou, Michal Fečkan
exaly  

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