Some Gronwall Type Inequalities and Applications

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Wide neural networks of any depth evolve as linear models under gradient descent (2019, background): “[38] Sever Silvestru Dragomir.”
Neural Tangent Kernel: Convergence and Generalization in Neural Networks (2018, neutral): “[6]) Grönwall’s Lemma: we obtain that A (t) stays uniformly bounded on [0, τ ] for some τ = τ (n1, .”
A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator (2017, methodology): “Gronwall inequality is one of the tools used to study the existence, uniqueness and continuous dependence of the Cauchy’s problem solutions on data and, in addition, other important applications might be found [13].”
Underdamped Langevin MCMC: A non-asymptotic analysis (2017, methodology): “The convergence rate of Theorem 5 follows immediately from this result by applying Grönwall’s inequality (Corollary 3 in [29]).”