By Qingkai Kong

this article is a rigorous remedy of the fundamental qualitative idea of normal differential equations, at the start graduate point. Designed as a versatile one-semester path yet supplying sufficient fabric for 2 semesters, a brief direction covers center subject matters similar to preliminary worth difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation thought, and second-order themes together with oscillation concept, boundary price 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 common theorems. A thoughtfully conceived choice of routines including solutions and tricks strengthen the reader's knowing of the cloth. must haves are restricted to complex calculus and the straight forward thought 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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