Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
1st Edition
Published on 13. August 2013
XIV, 303 pages
978-3-319-00849-3 (ISBN)
Description
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.
Reviews / Votes
From the book reviews:
"This book is a nice text for those interested in the topics of almost automorphy and almost periodicity in abstract spaces. . It is worth mentioning that some results are new or not easily accessible in the mathematical literature, which makes the book even more interesting. In greater detail, the book is structured in twelve chapters and an appendix." (Tomás Caraballo, Mathematical Reviews, June, 2014)
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIV, 303 p.
File size
2,12 MB
ISBN-13
978-3-319-00849-3 (9783319008493)
DOI
10.1007/978-3-319-00849-3
Schweitzer Classification
Other editions
Additional editions
Book
08/2013
Springer
€106.99
Shipment within 10-15 days
Content
1. Metric, Banach, and Hilbert Spaces.- 2. Linear Operators on Banach Spaces.- 3. Almost Periodic Functions.- 4. Almost Automorphic Functions.- 5. Pseudo-Almost Periodic Functions.- 6. Pseudo-Almost Automorphic Functions.- 7. Existence Results for Some Second-Order Differential Equations.- 8. Existence Results to Some Integrodifferential Equations.- 9. Existence of C(m)-Pseudo-Almost Automorphic Solutions.- 10. Pseudo-Almost Periodic Solutions to Some Third-Order Differential Equations.- 11. Pseudo-Almost Automorphic Solutions to Some Sobolev-Type Equations.- 12. Stability Results for Some Higher-Order Difference Equations.- 13. Appendix A.- References.- Index.
