Ordinary Differential Equations

ยท
ยท Academic Press
1.0
ื‘ื™ืงื•ืจืช ืื—ืช
ืกืคืจ ื“ื™ื’ื™ื˜ืœื™
366
ื“ืคื™ื
ื›ืฉื™ืจ
ื”ื‘ื™ืงื•ืจื•ืช ื•ื”ื“ื™ืจื•ื’ื™ื ืœื ืžืื•ืžืชื™ืย ืžื™ื“ืข ื ื•ืกืฃ

ืžื™ื“ืข ืขืœ ื”ืกืคืจ ื”ื“ื™ื’ื™ื˜ืœื™ ื”ื–ื”

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.

ื“ื™ืจื•ื’ื™ื ื•ื‘ื™ืงื•ืจื•ืช

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ืขื•ื“ ืžืืช Richard K Millerโ€

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