Stability Theory Of Differential Equations (Dover Books On Mathematics) Download Free (EPUB, PDF)
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.
Series: Dover Books on Mathematics
Paperback: 176 pages
Publisher: Dover Publications; 2008 edition (June 11, 2008)
Language: English
ISBN-10: 0486462730
ISBN-13: 978-0486462738
Product Dimensions: 5.5 x 0.4 x 8.5 inches
Shipping Weight: 5.6 ounces (View shipping rates and policies)
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Best Sellers Rank: #1,896,333 in Books (See Top 100 in Books) #49 in Books > Science & Math > Mathematics > Transformations #921 in Books > Science & Math > Mathematics > Applied > Differential Equations #1533 in Books > Science & Math > Mathematics > Mathematical Analysis
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