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About this book
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.
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Table of contents (9 chapters)
Authors and Affiliations
Bibliographic Information
Book Title: Theory of Differential Equations with Unbounded Delay
Authors: V. Lakshmikantham, Lizhi Wen, Binggen Zhang
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/978-1-4615-2606-3
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 1994
Hardcover ISBN: 978-0-7923-3003-5Published: 31 July 1994
Softcover ISBN: 978-1-4613-6116-9Published: 06 December 2013
eBook ISBN: 978-1-4615-2606-3Published: 27 November 2013
Edition Number: 1
Number of Pages: XII, 386
Topics: Ordinary Differential Equations, Difference and Functional Equations