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Ordinary Differential Equations

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by Richard K. Miller & Anthony N. Michel
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Ordinary Differential Equations by Richard K. Miller & Anthony N. Michel

Ordinary Differential Equations is an outgrowth of courses taught for a number of years at Iowa State University in the mathematics and the electrical engineering departments. It is intended as a text for a first graduate course in differential equations for students in mathematics, engineering, and the sciences. Although differential equations is an old, traditional, and well-established subject, the diverse backgrounds and interests of the students in a typical modern-day course cause problems in the selection and method of presentation of material. In order to compensate for this diversity, prerequisites have been kept to a minimum and the material is covered in such a way as to be appealing to a wide audience.
The book contains eight chapters and begins with an introduction the subject and a discussion of some important examples of differential equations that arise in science and engineering. Separate chapters follow on the fundamental theory of linear and nonlinear differential equations; linear boundary value problems; Lyapunov stability theory; and perturbations of linear systems. Subsequent chapters deal with the Poincare-Bendixson theory and with two-dimensional van der Pol type equations; and periodic solutions of general order systems.

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Ebook Details
Pages: 366
Size: 16.0 MB
Publisher: Academic Press
Date published:   2014
ISBN: 9781483259109 (DRM-PDF)

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Nonfiction > Mathematics > Mathematical Analysis
Nonfiction > Mathematics > Calculus

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