Theory of differential equations with unbounded delay
Author(s)
Bibliographic Information
Theory of differential equations with unbounded delay
（Mathematics and its applications, v. 298）
Springer Science+Business Media, c1994
- : pbk.
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Note
Includes bibliographical references (p. 355-381) and index
"Originally published by Kluwer Academic Publishers in 1994"--T.p. verso
"Softcover reprint of the hardcover 1st edition 1994"--T.p. verso
Description and Table of Contents
Description
Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays. Furthermore, such a unified theory would avoid duplication and expose open questions that are significant for future research.
It is in this spirit that the authors view the importance of their monograph, which presents a systematic and unified theory of recent developments of equations with unbounded delay, describes the current state of the theory showing the essential unity achieved, and provides a general structure applicable to a variety of problems.
It is the first book that:
(i) presents a unified framework to investigate the basic existence theory for a variety of equations with delay;
(ii) treats the classification of equations with memory precisely so as to bring out the subtle differences between them;
(iii) develops a systematic study of stability theory in terms of two different measures which includes several known concepts; and
(iv) exhibits the advantages of employing Lyapunov functions on product spaces as well as the method of perturbing Lyapunov functions.
This book will be of value to researchers and advanced graduate students in mathematics, electrical engineering and biomathematics.
Table of Contents
Preface. 1. Preliminaries. 2. Existence Theory for p-Type NFDE. 3. Existence Theory of NFDE with Infinite Delay. 4. Stability and Boundedness for RFDE with Bounded Delay. 5. Stability Criteria for p-Type NFDE. 6. Stability and Boundedness for Equations with Infinite Delay. 7. Asymptotic Behavior. 8. Oscillation Theory. 9. Periodic Solutions. References. Index.
by "Nielsen BookData"