A survey on measures of noncompactness with some applications in infinite systems of differential equations

A survey on measures of noncompactness with some applications in infinite systems of differential equations

In this chapter we present a brief survey of theory of measures of noncompactness and discuss some fixed point theorems of Darbo’s type. We describe some applications in the solvability of infinite systems of differential equations in classical sequence spaces.

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Veröffentlicht in:Aequationes mathematicae 2022-06, Vol.96 (3), p.489-514
Hauptverfasser: Mursaleen, Mohammad, Rakočević, Vladimir
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Combinatorics
Differential equations
Fixed points (mathematics)
Mathematical analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this chapter we present a brief survey of theory of measures of noncompactness and discuss some fixed point theorems of Darbo’s type. We describe some applications in the solvability of infinite systems of differential equations in classical sequence spaces.
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-021-00848-0