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Results tagged with differential-equations
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user 172802
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
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If an initial value problem has a solution on $[0,a)$ for all $a>0$, will it have a solution...
There may not be a solution defined in $[0,\infty)$. Consider for each $a\in\mathbb{R}^+$ the curve $\gamma_a:[0,\frac{\pi a}{2})\to\mathbb{R}^2$ given by $\gamma_a(t)=(t,\text{tan}(\frac{t}{a})-ta)$, …
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