Talk:Peano existence theorem
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[edit] Most common name ?
I am not sure if Peano existence theorem is the most common name for this theorem. MathMartin 17:51, 16 March 2007 (UTC)
bumped into this article by accident. quite surprising the article is this new. we sure this is not covered elsewhere in WP? anyhow, Peano or Cauchy-Peano both are common IIRC. Mct mht 14:25, 17 March 2007 (UTC)
- Hi there, I was suprised to see this article missing, too. I did a quick search to see if this is covered anywhere else, but could not find anything. On a more general level all the articles on ordinary differential equations look a bit neglected. The french and german wikipedia seem to do better in this regard. MathMartin 14:34, 17 March 2007 (UTC)
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- hey, Martin. just also wanted to add that the statement of the theorem in the current version seems kinda funny. R × R itself is open and simply connected but to claim the globlal existence of solutions in general is certainly not right. perhaps one wants to say a solution exists in a neighborhood of (x_0, y_0). Mct mht 14:40, 17 March 2007 (UTC)
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- Yes you are correct, I want to state a local version of the existence theorem. But up till now I could not find any discussion on local solutions, extension of solutions and global solutions in wikipedia. Therefore I added stuff at ordinary differential equation. I will try to expand and fix the article later. Perhaps I should be honest and tell you I am just learning this stuff. So be prepared for some serious mistakes on my side :). Comments and help are always appreciated. MathMartin 14:57, 17 March 2007 (UTC)
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- ok, hope to see you around. :-) Mct mht 15:27, 17 March 2007 (UTC)
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