Overview
This textbook is designed for the intermediate-level course on ordinary differential equations offered at many universities and colleges. It treats, as standard topics of such a course: existence and uniqueness theory, linear s- terns, stability theory, and introductory phase-plane analysis of autonomous second order systems. The unique feature of the book is its further inc- sion of a substantial introduction to delay differential eq- tions. Such equations are motivated by problems in control theory, physics, biology, ecology, economics, inventory c- trol, and the theory of nuclear reactors. The surge of interest in delay differential equations during the past two or three decades is evidenced by th- sands of research papers on the subject and about 20 published books devoted in whole or in part to these equations. The v * ... books include those of Myskis 1951], El' sgol' c 1955] and 1964], Pinney 1958], Krasovskil 1959], Bellman and Cooke 1963], Norkin 1965], Halanay 1966], Oguztoreli 1966], Lakshmikantham and Leela 1969], Mitropol'skir and Martynjuk 1969], Martynjuk 1971], and Hale 1971], plus a number of symposium and seminar proceedings published in the U.S. and the U.S.S.R. These books have influenced the present textbook.
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Details
- ISBN-13: 9780387902319
- ISBN-10: 0387902317
- Publisher: Springer
- Publish Date: February 1977
- Dimensions: 9.21 x 6.14 x 1.04 inches
- Shipping Weight: 1.58 pounds
- Page Count: 505
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