Gronwall's inequality

Summary

Gronwall's inequality is a theorem^[1]. It ranks in the top 7% of theorem entities by monthly Wikipedia readership (291 views/month).^[2]

Key Facts

• Gronwall's inequality's instance of is recorded as theorem^[3].
• Thomas Hakon Grönwall is named after Gronwall's inequality^[4].
• Richard E. Bellman is named after Gronwall's inequality^[5].
• Gronwall's inequality's time of discovery or invention is recorded as +1919-00-00T00:00:00Z^[6].
• Gronwall's inequality's Freebase ID is recorded as /m/05vmlh^[7].
• Gronwall's inequality's described by source is recorded as Note on the Derivatives with Respect to a Parameter of the Solutions of a System of Differential Equations^[8].
• Gronwall's inequality's described by source is recorded as The stability of solutions of linear differential equations^[9].
• Gronwall's inequality's defining formula is recorded as \begin{aligned} &u'(t) \le \beta(t)\,u(t),\quad \forall t\in I^\circ \ \implies &u(t) \le u(a) \exp\biggl(\int_a^t \beta(s)\, \mathrm{d} s\biggr) \quad \forall t \in I \end{aligned}^[10].
• Gronwall's inequality's studied by is recorded as calculus^[11].
• Gronwall's inequality's maintained by WikiProject is recorded as WikiProject Mathematics^[12].
• Gronwall's inequality's Microsoft Academic ID is recorded as 37608338^[13].
• Gronwall's inequality's in defining formula is recorded as I^[14].
• Gronwall's inequality's in defining formula is recorded as u^[15].
• Gronwall's inequality's in defining formula is recorded as \beta^[16].
• Gronwall's inequality's in defining formula is recorded as \exp^[17].
• Gronwall's inequality's OpenAlex ID is recorded as C37608338^[18].

Why It Matters

Gronwall's inequality ranks in the top 7% of theorem entities by monthly Wikipedia readership (291 views/month).^[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.^[19] It is known by 8 alternative names across languages and contexts.^[20]