Results 81 to 90 of about 485,864 (198)
A retarded Gronwall-like inequality and its applications
, 2000 We prove a Gronwall-like inequality and present some of its applications to the qualitative study of retarded differential equations. The problems of global continuation of the solutions and the existence of nonoscillatory solutions are considered.
Lipovan, Olivia
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, 2000 . In this paper, we obtain some new Gronwall-Bellman type integral inequalities, and we give an application of our results in the study of boundedness of the solutions of nonlinear integrodifferential equations. Key words and phrases: Gronwall inequality,
James Adedayo Oguntuase
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Exponentially stable solution of mathematical model of agents dynamics on time scales
Advances in Difference Equations, 2019 This work is an attempt at studying leader-following model on the arbitrary time scale. The step size is treated as a function of time. Our purpose is establishing conditions ensuring a leader-following consensus for any time scale basing on the Grönwall
Ewa Schmeidel +2 more
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, 2008 The Gronwall inequality as given here estimates the difference of solutions to two differential equations y ′ (t) =f(t, y(t)) and z ′ (t) =g(t, z(t)) in terms of the difference between the initial conditions for the equations and the difference between f
Ralph Howard
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Minimal conditions for implications of Gronwall-Bellman [PDF]
, 2016 Gronwall-Bellman type inequalities entail the following implication: if a sufficiently integrable function satisfies a certain homogeneous linear integral inequality, then it is nonpositive.
Herdegen, Martin, Herrmann, Sebastian
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, 2022 Hutzenthaler M, Nguyen TA. A path-dependent stochastic Gronwall inequality and strong convergence rate for stochastic functional differential equations.
Hutzenthaler, Martin, Nguyen, Tuan Anh
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Delayed Gronwall inequality with weakly singular kernel [PDF]
Delay Gronwall inequality with a weakly singular kernel has been a subject of interest in various mathematical studies. In this article, we will delve into the consideration of this inequality and its application in the study continuity of the state ...
Asadzade, Javad A. +2 more
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A Gronwall inequality with singularities [PDF]
An inequality of Gronwall type including singularities is derived. Its application to solve uniqueness problems is showed and a connection between this type of inequalities and the Mittag-Leffler functions is also ...
Solís García, Soveny Soraya
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Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay
Abstract and Applied Analysis, 2014 Based on the theory of fractional calculus, the generalized Gronwall inequality and estimates of mittag-Leffer functions, the finite-time stability of Caputo fractional-order BAM neural networks with distributed delay is investigated in this paper.
Yuping Cao, Chuanzhi Bai
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On Gronwall and Wendroff type inequalities [PDF]
Proceedings of the American Mathematical Society, 1983 It is shown how Gronwall’s Lemma and the extension to many variables given by W. Walter may be derived using the simple method of recursion. This same method is used to extend this result and to derive a more general Wendroff type inequality. Upper and lower bounds for the Neumann series in the case of two independent variables are given.
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