portada stability theory of differential equations (en Inglés)

stability theory of differential equations (en Inglés)

Formato

Libro Físico

Autor

Richard Bellman

Editorial

Dover Publications

Idioma

Inglés

N° páginas

166

Encuadernación

Tapa Blanda

Dimensiones

21.6x13.9x0.9 cm

Peso

0.19 kg.

ISBN

0486462730

ISBN13

9780486462738

Categorías

Análisis funcional y transformaciones
Cálculo diferencial y ecuaciones

stability theory of differential equations (en Inglés)

Richard Bellman (Autor) · Dover Publications · Tapa Blanda

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Reseña del libro "stability theory of differential equations (en Inglés)"

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.