Stability Theory of Differential Equations

Bellman, Richard

ISBN 10: 0486462730 / ISBN 13: 9780486462738

Editore: Dover Publications, 2008

Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Codice articolo G0486462730I3N00

Riassunto:

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.

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

Dati bibliografici

Titolo: Stability Theory of Differential Equations
Casa editrice: Dover Publications
Data di pubblicazione: 2008
Legatura: Paperback
Condizione: Good
Condizione sovraccoperta: No Jacket