By Qingkai Kong

this article is a rigorous remedy of the fundamental qualitative conception of normal differential equations, at first graduate point. Designed as a versatile one-semester direction yet delivering adequate fabric for 2 semesters, a quick path covers center issues comparable to preliminary worth difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation idea, and second-order issues 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 basic theorems. A thoughtfully conceived number of workouts including solutions and tricks strengthen the reader's realizing of the fabric. must haves are restricted to complex calculus and the simple 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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