A Short Course in Ordinary Differential Equations by Qingkai Kong

By Qingkai Kong

this article is a rigorous remedy of the fundamental qualitative thought of normal differential equations, first and foremost graduate point. Designed as a versatile one-semester path yet delivering sufficient fabric for 2 semesters, a brief path covers center subject matters reminiscent of preliminary price difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation idea, and second-order themes together with oscillation idea, boundary worth difficulties, and Sturm—Liouville difficulties. The presentation is obvious and easy-to-understand, with figures and copious examples illustrating the which means of and motivation at the back of definitions, hypotheses, and normal theorems. A thoughtfully conceived choice of workouts including solutions and tricks make stronger the reader's realizing of the cloth. necessities are restricted to complex calculus and the trouble-free idea of differential equations and linear algebra, making the textual content appropriate for senior undergraduates as well.

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