On measure of noncompactness in Lebesgue and Sobolev spaces with an application to the functional integro-differential equation

In this paper we attempt to define axiomatic measures of non-compactness for Sobolev spaces of integer order W n , p ( Ω ) , where Ω ⊂ R d (which is equivalent to Ω being any set of infinite measure). We consider two cases, one with Ω being an open subset with finite measure, and another when Ω = R...

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Veröffentlicht in:	Aequationes mathematicae 2023-02, Vol.97 (1), p.199-217
Hauptverfasser:	Mursaleen, M., Rizvi, S. M. H., Arab, R., Haghighi, A. S., Allahyari, R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Banach spaces Combinatorics Differential equations Mathematics Mathematics and Statistics Sobolev space
Online-Zugang:	Volltext
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