Titre : |
Ordinary and delay differential equations |
Type de document : |
texte imprimé |
Auteurs : |
Rodney David Driver, Auteur |
Editeur : |
New York : Springer-Verlag |
Année de publication : |
1977 |
Collection : |
Applied mathematical sciences, ISSN 0066-5452 num. 20 |
Importance : |
501 p |
Format : |
24 cm |
ISBN/ISSN/EAN : |
978-3-540-90231-7 |
Langues : |
Anglais (eng) |
Mots-clés : |
systems of equations some general properties the linear equation of order n existence theory linear systems of second order |
Index. décimale : |
515 |
Résumé : |
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. |
Ordinary and delay differential equations [texte imprimé] / Rodney David Driver, Auteur . - New York : Springer-Verlag, 1977 . - 501 p ; 24 cm. - ( Applied mathematical sciences, ISSN 0066-5452; 20) . ISBN : 978-3-540-90231-7 Langues : Anglais ( eng)
Mots-clés : |
systems of equations some general properties the linear equation of order n existence theory linear systems of second order |
Index. décimale : |
515 |
Résumé : |
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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