Theory of Differential Equations with Unbounded Delay / by V. Lakshmikantham, Lizhi Wen, Binggen Zhang
(Mathematics and Its Applications ; 298)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Boston, MA : Springer US : Imprint: Springer , 1994 |
| 本文言語 | 英語 |
| 大きさ | XII, 386 p : online resource |
書誌詳細を非表示
| 一般注記 | 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 |
|---|---|
| 著者標目 | *Lakshmikantham, V. author Wen, Lizhi author Zhang, Binggen author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Difference equations LCSH:Functional equations LCSH:Differential equations FREE:Mathematics FREE:Ordinary Differential Equations FREE:Difference and Functional Equations |
| 分 類 | DC23:515.352 |
| 巻冊次 | ISBN:9781461526063 
|
| ISBN | 9781461526063 |
| URL | http://dx.doi.org/10.1007/978-1-4615-2606-3 |
目次／あらすじ