Results 161 to 170 of about 588 (178)

Gronwall Inequalities in Higher Dimensions

1991
Several authors generalized inequalities of Gronwall type to the case of functions of two or more variables. Of course, such results have application in the theory of partial differential equations and Volterra integral equations.
D. S. Mitrinović, J. E. Pečarić, A. M. Fink   +2 more
openaire   +1 more source

An extension of Gronwall's inequality

2020
One of the results in this paper is the extended Gronwall's inequality. Theorem: Let \(k\geq 1\) be an integer. Suppose that \[ \varphi^k(t)\leq c_0^k(t)+ \int_0^t [kc_1(s)+ kc_2(s) \varphi^2(s)+\dots+ kc_k(s) \varphi^k(s)] ds \] for a.e. \(t\in[0,T]\), where \(c_0\geq 0\) is nonincreasing, \(\varphi\in L^\infty\) and \(\varphi\geq 0\) for a.e. \(t\in [
openaire   +2 more sources

A Cousin of Gronwall's Inequality: 11135

The American Mathematical Monthly, 2006
Ray Redheffer, Richard Stong
openaire   +2 more sources

Finite-time stability of fractional-order delayed Cohen–Grossberg memristive neural networks: a novel fractional-order delayed Gronwall inequality approach

International Journal of General Systems, 2022
Junguo Lu, Feifei Du
exaly  

A generalized fractional (q, h)–Gronwall inequality and its applications to nonlinear fractional delay (q, h)–difference systems

Mathematical Methods in the Applied Sciences, 2021
Baoguo Jia, Feifei Du
exaly  

Some remarks on the Gronwall integral inequality

Mathematical Methods in the Applied Sciences, 2023
Junguo Lu, Feifei Du
exaly  

Gronwall inequalities

2013
Fanhai Zeng, Jianxiong Cao, Changpin Li
openaire   +1 more source

Some Existence and Dependence Criteria of Solutions to a Fractional Integro-Differential Boundary Value Problem via the Generalized Gronwall Inequality

Mathematics, 2021
Jessada Tariboon, Sina Etemad, Abdelkader Amara   +2 more
exaly  

A stochastic Gronwall inequality and applications to moments, strong completeness, strong local Lipschitz continuity, and perturbations

Annales De L'institut Henri Poincare (B) Probability and Statistics, 2021
Sara Mazzonetto, Martin Hutzenthaler
exaly  

Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall’s inequality

Journal of Computational and Applied Mathematics, 2018
Qasem Al-Mdallal, Thabet Abdeljawad
exaly