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Erschienen in:
Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

8. On the Measure of Noncompactness in Banach Spaces and Application to the Theory of Differential and Integral Equations

verfasst von : Neda Khodabakhshi, S. Mansour Vaezpour

Erschienen in: Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Verlag: Springer Singapore

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Abstract

This chapter deals with measure of noncompactness (briefly MNC) in Banach spaces and application to the theory of differential and integral equations. We review some important generalizations of Darbo’s theorem and we provide sufficient conditions for extension of this theorem for two commuting operators. Also, by making use of the proved theorems, we consider the existence and behaviour of solutions of integral and differential equations with feedback control.

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Vorheriges Kapitel The Class of F-Contraction Mappings with a Measure of Noncompactness
Nächstes Kapitel Partial Hadamard-Stieltjes Fractional Integral Equations in Banach Spaces
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Metadaten
Titel
On the Measure of Noncompactness in Banach Spaces and Application to the Theory of Differential and Integral Equations
verfasst von
Neda Khodabakhshi
S. Mansour Vaezpour
Copyright-Jahr
2017
Verlag
Springer Singapore
Buch
Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Print ISBN: 978-981-10-3721-4

Electronic ISBN: 978-981-10-3722-1

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-981-10-3722-1_8