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21-630 Ordinary Differential Equations


Units:12.0
Department:Mathematical Sciences
Related URLs:http://www.math.cmu.edu

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, Liapunov's direct method, and Poincar-Bendixson 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, boundary-value problems and Sturm-Liouville theory, Floquet theory.

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  Spring 2005 times


No sections available for semester Spring 2005.



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