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Ordinary and delay differential equations / Rodney D. Driver
Titre : Ordinary and delay differential equations : applied mathematical sciences20 Type de document : texte imprimé Auteurs : Rodney D. Driver Editeur : Berlin,new york : Springer-Verlag Année de publication : 1977 Importance : 501 p. Format : 17x24 cm ISBN/ISSN/EAN : 978-0-387-90231-9 Note générale : Includes index.
Langues : Français (fre) Mots-clés : Ordinary and delay differential equations elementary methods for ordinary differential equations of first order linear equation linear ordinary existence theory constant coefficients autinomous ordinary differential systems elementary methodes for ordinary differential equations of first order uniqueness and lipschitz conditions for ordinary differential equations the linear equation of order n linear ordinary differential systems introduction to delay differential equations linear delay differential systems stability autonomous ordinary differential systems Index. décimale : 515.3 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. index.
sommaire:
1-elementary methodes for ordinary differential equations of first order
2-uniqueness and lipschitz conditions for ordinary differential equations
3-the linear equation of order n
4-linear ordinary differential systems
5-introduction to delay differential equations
6-existence theory
7-linear delay differential systems
8-stability
9-autonomous ordinary differential systems
Note de contenu : Éditeur : Springer-Verlag New York Inc.; Softcover reprint of the original 1st ed. 1977 édition (17 février 1977)
Langue : Anglais
Broché : 505 pages
ISBN-10 : 0387902317
ISBN-13 : 978-0387902319
Poids de l'article : 1.58 kg
Dimensions : 15.6 x 2.97 x 23.39 cmOrdinary and delay differential equations : applied mathematical sciences20 [texte imprimé] / Rodney D. Driver . - [S.l.] : Berlin,new york : Springer-Verlag, 1977 . - 501 p. ; 17x24 cm.
ISBN : 978-0-387-90231-9
Includes index.
Langues : Français (fre)
Mots-clés : Ordinary and delay differential equations elementary methods for ordinary differential equations of first order linear equation linear ordinary existence theory constant coefficients autinomous ordinary differential systems elementary methodes for ordinary differential equations of first order uniqueness and lipschitz conditions for ordinary differential equations the linear equation of order n linear ordinary differential systems introduction to delay differential equations linear delay differential systems stability autonomous ordinary differential systems Index. décimale : 515.3 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. index.
sommaire:
1-elementary methodes for ordinary differential equations of first order
2-uniqueness and lipschitz conditions for ordinary differential equations
3-the linear equation of order n
4-linear ordinary differential systems
5-introduction to delay differential equations
6-existence theory
7-linear delay differential systems
8-stability
9-autonomous ordinary differential systems
Note de contenu : Éditeur : Springer-Verlag New York Inc.; Softcover reprint of the original 1st ed. 1977 édition (17 février 1977)
Langue : Anglais
Broché : 505 pages
ISBN-10 : 0387902317
ISBN-13 : 978-0387902319
Poids de l'article : 1.58 kg
Dimensions : 15.6 x 2.97 x 23.39 cmRéservation
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