Short Course in Ordinary Differential Equations

Inbunden, Engelska, 2014

Av Qingkai Kong

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This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well.

Produktinformation

Utgivningsdatum2014-11-06
Mått156 x 234 x 18 mm
Vikt568 g
FormatInbunden
SpråkEngelska
SerieUniversitext
Antal sidor267
Upplaga2014
FörlagSpringer International Publishing AG
ISBN9783319112381

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“All material is carefully organized and presentedin a transparent manner. The text contains a large number of solved problemswhich illustrate well theoretical material. Each chapter concludes with aselection of exercises for independent study; hints and answers to exercisesare collected in the end of the book along with a useful list of references anda subject index. … Undoubtedly, this book is a very valuable contribution toexisting texts on qualitative theory of differential equations.” (Yuriy V.Rogovchenko, zbMATH, Vol. 1326.34007, 2016)