Almost automorphic type and almost periodic type functions in abstract spaces Toka Diagana

Format:

Book

Author/Creator:

Diagana, Toka, author.

Language:

English

Subjects (All):

Differential equations.

Automorphic functions.

Operator theory.

Physical Description:

1 online resource

Place of Publication:

Cham Springer 2013

Language Note:

English

System Details:

text file

PDF

Summary:

This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as well as their recent generalizations. Some of the results presented are either new or else cannot be easily found in the mathematical literature. Despite the noticeable and rapid progress made on these important topics, the only standard references that currently exist on those new classes of functions and their applications are still scattered research articles. One of the main objectives of this book is to close that gap. The prerequisites for the book is the basic introductory course in real analysis. Depending on the background of the student, the book may be suitable for a beginning graduate and/or advanced undergraduate student. Moreover, it will be of a great interest to researchers in mathematics as well as in engineering, in physics, and related areas. Further, some parts of the book may be used for various graduate and undergraduate courses

Contents:

Metric, Banach, and Hilbert Spaces Linear Operators on Banach Spaces Almost Periodic Functions Almost Automorphic Functions Pseudo-Almost Periodic Functions Pseudo-Almost Automorphic Functions Existence Results for Some Second-Order Differential Equations Existence Results to Some Integrodifferential Equations Existence of C (m)-Pseudo-Almost Automorphic Solutions Pseudo-Almost Periodic Solutions to Some Third-Order Differential Equations Pseudo-Almost Automorphic Solutions to Some Sobolev-Type Equations Stability Results for Some Higher-Order Difference Equations

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed August 20, 2013)

Other Format:

Print version:

ISBN:

9783319008493

3319008498

1299859135

9781299859135

OCLC:

857419143

Access Restriction:

Restricted for use by site license