The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: * existence, uniqueness and continuation of solutions, * continuous dependence on initial data, * flows, * qualitative behaviour of solutions, * limit sets, * stability theory, * invariance principles, * introductory control theory, * feedback ...
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The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: * existence, uniqueness and continuation of solutions, * continuous dependence on initial data, * flows, * qualitative behaviour of solutions, * limit sets, * stability theory, * invariance principles, * introductory control theory, * feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability. Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.
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New. Trade paperback (US). Glued binding. 333 p. Contains: Unspecified, Illustrations, black & white. Springer Undergraduate Mathematics. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Add this copy of Ordinary Differential Equations: Analysis, Qualitative to cart. $101.28, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2014 by Springer.