Grönwall's inequality
From Wikipedia, the free encyclopedia
In mathematics, Grönwall's lemma states the following. If, for 
, 
and 
are continuous functions such that the inequality
holds on , with K and L positive constants, then
on 
It is named for Thomas Hakon Grönwall (1877-1932).
Grönwall's lemma is an important tool used for obtaining various estimates in ordinary differential equations. In particular, it is used to prove uniqueness of a solution to the initial value problem, see the Picard-Lindelöf theorem.
This article incorporates material from Gronwall's lemma on PlanetMath, which is licensed under the GFDL.
