| 期刊全称 | A Short Course in Ordinary Differential Equations | | 影响因子2023 | Qingkai Kong | | 视频video | | | 发行地址 | Focuses on the theoretical aspect of ODEs without emphasis on lengthy technical applications of special equations from physics and engineering.Uses carefully selected and organized material to cover a | | 学科分类 | Universitext | | 图书封面 |  | | 影响因子 | This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader‘s understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well. | | Pindex | Textbook 2014 |
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发表于 2025-3-21 16:26:38
