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Nov 20, 2010 at 6:15 comment added Ben Whale An update for those looking for an inexpensive reference. Hale's book "Ordinary Differential Equations" provides the same level of rigour as Coddington and Levinson (at least for this specific question). Importantly, it's also published by Dover. You can pick up a copy from Amazon for less than $15...
Aug 23, 2010 at 23:30 comment added Ben Whale Thanks jvp and Willie Wong. I shall dig around in Coddington and Levinson. As jvp mentions I was hoping for something that also contained the advances that had occurred in the last 30 years. Nevertheless it's nice to have confirmation of what to look at.
Aug 23, 2010 at 23:26 vote accept Ben Whale
Aug 23, 2010 at 11:38 history answered Jorge Vitório Pereira CC BY-SA 2.5