Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations (Paperback, Softcover reprint of the original 1st ed. 2014)

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. The book discusses 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. The book consists of eight self-contained chapters. Chapter 1 discusses the theory of FK spaces and Chapter 2 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.

General

Imprint:	Springer, India, Private Ltd
Country of origin:	India
Release date:	September 2016
First published:	2014
Authors:	Jozef Banas • Mohammad Mursaleen
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	315
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-81-322-2966-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	81-322-2966-5
Barcode:	9788132229667

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