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Theory of Differential Equations with Unbounded Delay

  • Book
  • © 1994

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Part of the book series: Mathematics and Its Applications (MAIA, volume 298)

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Table of contents (9 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Department of Applied Mathematics, Florida Institute of Technology, Melbourne, USA

    V. Lakshmikantham

  • Department of Mathematics, South China Normal University, Guangzhou, People’s Republic of China

    Lizhi Wen

  • Department of Applied Mathematics, Ocean University of Qingdao, Qingdao, People’s Republic of China

    Binggen Zhang

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

  • 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

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