In mathematics, Grönwall's inequality (also called Grönwall's lemma or the Grönwall–Bellman inequality) allows one to bound a function that is known to...

Stochastic Gronwall inequality is a generalization of Gronwall's inequality and has been used for proving the well-posedness of path-dependent stochastic...

Stirling's formula (bounds) Grönwall's inequality Alexandrov–Fenchel inequality Aristarchus's inequality Barrow's inequality Berger–Kazdan comparison theorem...

case, the use of the method of characteristics is justified by Grönwall's inequality. The above equation may be written as a ( x , u ) ⋅ ∇ u ( x ) =...

7–9). This is often called "Differential inequality method" in literature and, for example, Grönwall's inequality can be proven using this technique. Chaplygin's...

where lim sup is the limit superior. This result is Grönwall's theorem, published in 1913 (Grönwall 1913). His proof uses Mertens' third theorem, which...

Debye–Hückel theory Grönwall's area theorem Grönwall's inequality Grönwall's theorem Hille, Einar (1932). "Thomas Hakon Gronwall—In memoriam". Bull. Amer...

where k > 0 {\displaystyle k>0} and η > 0 {\displaystyle \eta >0} . Grönwall's inequality Halanay (1966). Differential Equations: Stability, Oscillations...

auxiliary equation/inequality (or a system thereof) possesses a certain property. Chaplygin's theorem; Chaplygin inequality Grönwall's inequality, and its various...

{\displaystyle f(z)=z+a_{2}z^{2}+\cdots .} In particular, the coefficient inequality gives that | a 2 | ≤ 2 {\displaystyle |a_{2}|\leq 2} . If w {\displaystyle...