Stability Theory of Differential Equations

ISBN: 9780486462738
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$10.95
SKU:
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Availability:
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Minimum Purchase:
25 units
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Overview

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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Product Details

Author:
Richard Bellman
Format:
Paperback
Pages:
176
Publisher:
Dover Publications (June 11, 2008)
Language:
English
ISBN-13:
9780486462738
ISBN-10:
0486462730
Weight:
6.64oz
Dimensions:
5.375" x 8.5"
Case Pack:
46
Series:
Dover Books on Mathematics
File:
Dover-Dover_08032024_P7614837_onix30_Complete-20240803.xml
Folder:
Dover
As low as:
$7.56
List Price:
$10.95
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
College/higher education
Pub Discount:
65

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