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http://ejde.math.txstate.edu/Volumes/2005/84/alwash.pdf

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- Thread starter MidgetDwarf
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- #1

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http://ejde.math.txstate.edu/Volumes/2005/84/alwash.pdf

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Simon Bridge

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Presumably you want to be able to understand it ... but to what depth?

I think it would take at least 2nd year college level math to understand the first paragraph from "We consider..." through, "...an open set." But that would be understood at 2nd year college level.

I think it would take at least 2nd year college level math to understand the first paragraph from "We consider..." through, "...an open set." But that would be understood at 2nd year college level.

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http://ejde.math.txstate.edu/Volumes/2005/84/alwash.pdf

Here's a list of things I see in the paper:

- Of course ODE. But Ross' ODE book likely won't cut it, you'll need something more advanced such as Teschl http://www.mat.univie.ac.at/~gerald/ftp/book-ode/

- Complex analysis language is used freely in the paper, including Rouche's theorem. A book like Freitag-Busam should cover enough: http://www.springer.com/us/book/9783540939825

- Normed spaces would be analysis. Carothers covers this well. https://www.amazon.com/dp/0521497566/?tag=pfamazon01-20&tag=pfamazon01-20

- He uses language from topology, but I'm sure you can actually get away with not knowing topology for this.

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Here's a list of things I see in the paper:

- Of course ODE. But Ross' ODE book likely won't cut it, you'll need something more advanced such as Teschl http://www.mat.univie.ac.at/~gerald/ftp/book-ode/

- Complex analysis language is used freely in the paper, including Rouche's theorem. A book like Freitag-Busam should cover enough: http://www.springer.com/us/book/9783540939825

- Normed spaces would be analysis. Carothers covers this well. https://www.amazon.com/dp/0521497566/?tag=pfamazon01-20&tag=pfamazon01-20

- He uses language from topology, but I'm sure you can actually get away with not knowing topology for this.

Great, thanks Micromass. Looks like if I work hard enough, I can get an understanding of these topics in 1 year, maybe 2 years. Thank you for taking your time responding with a well structured list of topics and resources.

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