Stability Theory of Differential Equations (Dover Books on Mathematics) - Softcover

Bellman, Richard

 
9780486462738: Stability Theory of Differential Equations (Dover Books on Mathematics)
Softcover
ISBN 10: 0486462730 ISBN 13: 9780486462738
Verlag: Dover Publications Inc., 2008

Inhaltsangabe

Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies.
The linear equation with constant and almost-constant coefficients receives in-depth attention that includes aspects of matrix theory. No previous acquaintance with the theory is necessary, since author Richard Bellman derives the results in matrix theory from the beginning. In regard to the stability of nonlinear systems, results of the linear theory are used to drive the results of Poincaré and Liapounoff. Professor Bellman then surveys important results concerning the boundedness, stability, and asymptotic behavior of second-order linear differential equations. The final chapters explore significant nonlinear differential equations whose solutions may be completely described in terms of asymptotic behavior. Only real solutions of real equations are considered, and the treatment emphasizes the behavior of these solutions as the independent variable increases without limit.

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Reseña del editor

Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies. 1953 edition.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Dover Publications Inc.
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0486462730
ISBN 13 
9780486462738
Einband
Tapa blanda
Anzahl der Seiten
176
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italien

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Softcover