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Results tagged with inequalities
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user 110094
for questions involving inequalities, upper and lower bounds.
6
votes
1
answer
2k
views
Gronwall's inequality for higher order derivatives
Gronwall's inequality says that solutions to the initial value problem $u'(t) \leq \beta(t)u(t)$ with $u(0)=u_0$ are bounded by solutions to the problem with inequality replaced with equality for $t\i …
- 205
4
votes
1
answer
514
views
Controlling subsolutions of a second order linear ODE
Also, any good references for differential inequalities that might help me solve this problem are equally welcome. …
- 205
0
votes
Controlling solutions of a second order linear differential inequality
Wow, thank you for this detailed solution.
I have a questions about case 1. You say $r'(x)=p_j(r(x)) = \rho_j^{-1}(r(x))$ where $\rho_j=r|_{I_j}$.
In other words, if we restrict our attention to $I_ …
- 205