Stability Theory of Differential Equations - Brossura

Bellman, Richard

 
9780486462738: Stability Theory of Differential Equations
Brossura
ISBN 10: 0486462730 ISBN 13: 9780486462738
Casa editrice: Dover Pubns, 2008

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Preface 1. Properties of Linear Systems 2. Stability, Boundedness, and Asymptotic Behavior of Solutions of Linear Systems 3. The Existence and Uniqueness of Solutions of Nonlinear Systems 4. The Stability of Solutions of Nonlinear Differential Equations 5. The Asymptotic Behavior of the Solutions of Some Nonlinear Equations of the First Order 6. The Second-order Linear Differential Equation 7. The Emden-Fowler Equation Index

Product Description

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
0486462730
ISBN 13 
9780486462738
Rilegatura
Copertina flessibile
Numero di pagine
166
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780486622101: Stability Theory of Differential Equations

Edizione in evidenza

ISBN 10:  048662210X ISBN 13:  9780486622101
Casa editrice: Dover Publications Inc., 1953
Brossura