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Ordinary Differential Equations

Jack K. Hale

出版	Wiley, 1969-01-15
主題	Mathematics / Calculus
ISBN	04713409019780471340904
URL	http://books.google.com.hk/books?id=2jOxAAAAIAAJ&hl=&source=gbs_api

註釋

Ordinary Differential Equations emphasizes the theory of nonlinear equations. The material is presented so that the reader can prepare himself for intelligent study of the current literature and for research in differential equations. A great deal of space has been devoted to specific analytical methods that are presently widely used in the applications. The global theory of two-dimensional systems is presented early in the book in order to bring out the geometric properties of solutions and to help the student develop intuition. Linear systems then arise naturally in discussing the behavior of solutions near an equilibrium point. For higher order systems, a local theory near other simple in variant sets is also given. The techniques developed are then applied to stability theory and nonlinear oscillations. Chapters on bifurcation and Liapunov functions are included. (Author).