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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.

7 votes
Accepted

How do I analyze a sum of decaying exponentials?

How's this: Take the times $t_{pre}$ to be of the form $t_{pre} = T_{0} + iT$, where $i$ ranges over some set of integers of the form $\{0, 1, 2, . . . , N\}$, and we allow the possibility that $N$ i …
drbobmeister's user avatar
8 votes

Graduate ODE textbook

I really like Ordinary Differential Equations by Jack K. Hale. It's very rigorous and thorough in the fundamentals, has a great section on periodic linear systems, and covers some advanced stuff such …