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By Qingkai Kong

this article is a rigorous remedy of the fundamental qualitative conception of standard differential equations, at the start graduate point. Designed as a versatile one-semester path yet providing adequate fabric for 2 semesters, a brief direction covers middle issues corresponding to preliminary worth difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation idea, and second-order subject matters 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 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 figuring out of the cloth. must haves are restricted to complicated calculus and the undemanding conception of differential equations and linear algebra, making the textual content appropriate for senior undergraduates as well.

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

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