A Short Course in Ordinary Differential Equations by Qingkai Kong PDF

By Qingkai Kong

ISBN-10: 3319112384

ISBN-13: 9783319112381

ISBN-10: 3319354264

ISBN-13: 9783319354262

this article is a rigorous remedy of the fundamental qualitative concept of normal differential equations, at first graduate point. Designed as a versatile one-semester path yet supplying adequate fabric for 2 semesters, a brief direction covers middle issues comparable to preliminary worth difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation thought, and second-order issues together with oscillation conception, boundary worth difficulties, and Sturm—Liouville difficulties. The presentation is obvious and easy-to-understand, with figures and copious examples illustrating the that means of and motivation at the back of definitions, hypotheses, and normal theorems. A thoughtfully conceived number of routines including solutions and tricks make stronger the reader's figuring out of the fabric. necessities are constrained to complicated calculus and the basic conception of differential equations and linear algebra, making the textual content compatible for senior undergraduates as well.

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A Short Course in Ordinary Differential Equations (Universitext) by Qingkai Kong

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