Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

種類:

電子ブック

責任表示:

by Józef Banaś, Mohammad Mursaleen

出版情報:

New Delhi : Springer India : Imprint: Springer, 2014

著者名:

• Banaś, Józef
• Mursaleen, Mohammad
• SpringerLink (Online service)

ISBN:

9788132218869 [8132218868]    

注記:

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

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