Results 151 to 160 of about 610,482 (163)

Sharp generalizations of stochastic Gronwall inequalities

2023
In dieser Arbeit betrachten wir zwei stochastische Ungleichungen, welche miteinander zusammenhängen: Eine Ungleichung von Lenglart (1977) und eine Klasse stochastischer Gronwall-Ungleichungen, die von Renesse und Scheutzow (2010), Scheutzow (2013), Xie und Zhang (2020) und Mehri und Scheutzow (2021) studiert wurden.
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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 [
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Finite-time multistability of a multidirectional associative memory neural network with multiple fractional orders based on a generalized Gronwall inequality

Neural computing & applications (Print)
Zhiguang Liu, Xiangyu Xu, Tiejun Zhou
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Gronwall inequalities

2013
Fanhai Zeng, Jianxiong Cao, Changpin Li
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A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations

Communications in nonlinear science & numerical simulation, 2019
A. Hendy, J. Macías-Díaz
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Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion

Communications in nonlinear science & numerical simulation, 2018
Guo-cheng Wu, D. Baleanu, Shengda Zeng
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Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument

, 2011
Kuo-shou Chi̇u, M. Pinto
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Volterra integral equations and a new Gronwall inequality (Part II: The nonlinear case)

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
J. Norbury, A. Stuart
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Volterra integral equations and a new Gronwall inequality (Part I: The linear case)

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
J. Norbury
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Gronwall-Bellman differential-matrix inequality

Ukrainian Mathematical Journal, 1971
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