Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations is popular PDF and ePub book, written by Józef Banaś in 2014-07-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations can be Read Online from any device for your convenience.
Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations Book PDF 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. 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.
Detail Book of Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations PDF
- Author : Józef Banaś
- Release : 18 July 2014
- Publisher : Springer
- ISBN : 9788132218869
- Genre : Mathematics
- Total Page : 323 pages
- Language : English
- PDF File Size : 11,8 Mb
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