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

• Main Authors: Banaś, Józef (Author), Mursaleen, Mohammad (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New Delhi : Springer India : Imprint: Springer, 2014.
• Subjects: Mathematics.; Functional analysis.; Integral equations.; Operator theory.; Differential equations.; Partial differential equations.; Sequences (Mathematics).; Functional Analysis.; Operator Theory.; Integral Equations.; Partial Differential Equations.; Ordinary Differential Equations.; Sequences, Series, Summability.

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 vario...

Table of Contents:

• Chapter 1. Introduction to FK spaces
• Chapter 2. Matrix Transformations
• Chapter 3. Some new sequence spaces of non-absolute type
• Chapter 4. Some non-classical sequence spaces
• Chapter 5. Measures of noncompactness
• Chapter 6. Application to compact matrix operators
• Chapter 7. Applications to infinite systems of differential equations
• Chapter 8. Applications to integral equations.