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

4 votes

In which commutative algebras does any derivation possess a flow?

My guess is this is the kind of algebra you don't care about (since they aren't subrings of real-valued functions), but algebras of the form $\mathbb{R}[x]/x^n$ will have your property. When looking …
Greg Muller's user avatar
7 votes
0 answers
208 views

What subspaces of n-tuples of rational functions can be the solution space to a system of di...

Let $K=\mathbb{C}(x)$ denote the field of rational functions (in 1 variable), and let $K^n$ denote an $n$-dimensional $k$-vector space (with basis). For some integer $m$, let $$\delta_{11}, \delta_{ …
Greg Muller's user avatar