By Qingkai Kong

This article is a rigorous therapy of the elemental qualitative concept of standard differential equations, firstly graduate point. Designed as a versatile one-semester direction yet providing sufficient fabric for 2 semesters, a quick path covers center issues corresponding to preliminary price difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré―Bendixson theorem, and bifurcation idea, and second-order subject matters together with oscillation concept, 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 in the back of definitions, hypotheses, and normal theorems. A thoughtfully conceived collection of routines including solutions and tricks strengthen the reader's realizing of the cloth. necessities are restricted to complicated calculus and the hassle-free conception of differential equations and linear algebra, making the textual content compatible for senior undergraduates to boot.

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