Sequence spaces and measures of noncompactness with applications to differential and integral equations
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The work Sequence spaces and measures of noncompactness with applications to differential and integral equations represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Sequence spaces and measures of noncompactness with applications to differential and integral equations
Resource Information
The work Sequence spaces and measures of noncompactness with applications to differential and integral equations represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Sequence spaces and measures of noncompactness with applications to differential and integral equations
 Statement of responsibility
 Joźef Banaś, Mohammad Mursaleen
 Subject

 Functional Analysis
 Integral Equations
 Integral equations
 Integral equations
 Integral equations
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematics
 Operator Theory
 Ordinary Differential Equations
 Partial Differential Equations
 Sequence spaces
 Sequence spaces
 Sequence spaces
 Sequences, Series, Summability
 Differential equations
 Differential equations
 Differential equations
 Language
 eng
 Summary
 This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. Thebookdiscusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness; in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. Thebookconsists of eight selfcontained chapters. Chapter 1 discussesthe theory of FK spaces andChapter2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties. The techniques associated with measures of noncompactness are applied to characterize the compact matrix operators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential and integral equations, which are obtained with the help of argumentations based on compactness conditions
 Cataloging source
 GW5XE
 Dewey number
 515/.73
 Index
 index present
 LC call number
 QA322
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
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