21-630 Ordinary Differential Equations

12 units, Carnegie Mellon University

Basic concepts covered are existence and uniqueness of solutions, continuation of solutions, continuous dependence, and stability. For autonomous systems, topics included are orbits, limit sets, Liapunovs direct method, and PoincarBendixson theory. For linear systems, topics included are fundamental solutions, variation of constants, stability, matrix exponential solutions, and saddle points. Time permitting, one or more of the following topics will be covered differential inequalities, boundaryvalue problems and SturmLiouville theory, Floquet theory. Three 50 minute lectures

Prerequisites: (21-355 (min B) or 21-235 (min B) or 21-455 (min B)) and (21-373 (min B) or 21-237 (min B))

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