Notes on Existence and Uniqueness Theorems for Odes
نویسنده
چکیده
These notes discuss theorems on the existence, uniqueness and extension of solutions for ODEs. None of these results are original. The proofs of Theorems 1.2, 3.3 are contained in the textbook (although in a slightly different setting and with a slightly different language). The statement and proof of Theorem 1.1 are not in the textbook, although the textbook does contain a discussion of Euler’s broken line method. The purpose of these notes is to collect the various results scattered throughout different parts of the book and also to provide slightly more details. This is a preliminary version: If you have any comments or corrections, no matter how minor, please send them to me.
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