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

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations by Józef Banaś, Mohammad Mursaleen, Springer India
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Józef Banaś, Mohammad Mursaleen ISBN: 9788132218869
Publisher: Springer India Publication: July 18, 2014
Imprint: Springer Language: English
Author: Józef Banaś, Mohammad Mursaleen
ISBN: 9788132218869
Publisher: Springer India
Publication: July 18, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer India

Cover of the book Free Space Optical Communication by Józef Banaś, Mohammad Mursaleen
Cover of the book The Environment in Economics and Development by Józef Banaś, Mohammad Mursaleen
Cover of the book Computational Intelligence, Cyber Security and Computational Models by Józef Banaś, Mohammad Mursaleen
Cover of the book Psychology, Development and Social Policy in India by Józef Banaś, Mohammad Mursaleen
Cover of the book Smooth Manifolds by Józef Banaś, Mohammad Mursaleen
Cover of the book Water and Health by Józef Banaś, Mohammad Mursaleen
Cover of the book Phoneme-Based Speech Segmentation using Hybrid Soft Computing Framework by Józef Banaś, Mohammad Mursaleen
Cover of the book Essays on Research Methodology by Józef Banaś, Mohammad Mursaleen
Cover of the book Mastering Endothelial Keratoplasty by Józef Banaś, Mohammad Mursaleen
Cover of the book Recent Development in Wireless Sensor and Ad-hoc Networks by Józef Banaś, Mohammad Mursaleen
Cover of the book Climate Change Impact on Livestock: Adaptation and Mitigation by Józef Banaś, Mohammad Mursaleen
Cover of the book Market, Regulations and Finance by Józef Banaś, Mohammad Mursaleen
Cover of the book Reading History with the Tamil Jainas by Józef Banaś, Mohammad Mursaleen
Cover of the book Measures of Positive Psychology by Józef Banaś, Mohammad Mursaleen
Cover of the book Broadening the Genetic Base of Grain Legumes by Józef Banaś, Mohammad Mursaleen
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy