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Results tagged with differential-equations
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user 165275
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
1
vote
Existence of a global solution to a differential inclusion that does not blow up
Consider the initial value $x(t_0)=x_0$. Let $B$ be the closed ball around $x_0$ with radius $1$. Let $\rho$ denote a retraction onto $B$. Then $G=F\circ\rho$ satisfies $G|_B=F|_B$ and is upper semi-c …
- 1,869
5
votes
Accepted
Continuity of the period for a periodic dynamical system
The answer is trivially negative already for $n=3$: Start with the flow following along the "long" lines of a thickened (say with disc-shaped cut) Möbius strip. You can imagine this like a thick “rope …
- 1,869