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

Auteur :
Banas Józef
Mursaleen Mohammad, auteur
Publication :
New Delhi : Springer India, 2014
Description :
, 1 vol. (XII, 315 p.) : 24 cm
Résumé :
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. Thebookdiscusses 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. Thebookconsists of eight self-contained chapters. Chapter 1 discussesthe theory of FK spaces andChapter2 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
Langue :
Type de document :
Ressource électronique
Thèmes :
Functional analysis
Integral equations
Operator theory
Differential Equations
Differential equations, partial
Sequences (Mathematics)
Functional Analysis
Operator Theory
Integral Equations
Partial Differential Equations
Ordinary Differential Equations
Sequences, Series, Summability