Results 101 to 110 of about 485,864 (198)
Journal of Applied Mathematics, 2014 We investigate boundary value problems for a coupled system of nonlinear fractional differential equations involving Caputo derivative in Banach spaces.
Yuping Cao, Chuanzhi Bai
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New inequalities of Gronwall type for the stochastic di erential equations [PDF]
, 2015 In the theory of di erential equations the Gronwall’s lemma was widely used in various applications since its rst appearance in the article by Bellman [4] in 1943. In this article [4] the author gave a fundamental lemma of Gronwall–Bellman in order to
Berboucha, Ahmed, Boudref, Mohamed Ahmed
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Generalization of an inequality of Gronwall-Reid
Journal of Approximation Theory, 1989 On donne une nouvelle demonstration de l'inegalite de Gronwall-Reid, qui se prete facilement a une generalisation au cas ou la differentielle de Riemann «dt» est remplacee par une mesure ...
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© Hindawi Publishing Corp. A MORE GENERALIZED GRONWALL-LIKE INTEGRAL INEQUALITY WITH APPLICATIONS
, 2002 This paper deals with a new Gronwall-like integral inequality which is a generaliza-tion of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
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A Refinement of Gronwall-Bellman Inequality
Pure Mathematics, 2016 本文用微分方程组理论和柯西矩阵级数展开作为工具，将Gronwall-Bellman不等式推广成向量形式。 The article modifies Gronwall-Bellman inequality into vector form by the theory of differential equation and Cauchy matrix series expansion.
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On generalized fractional operators and a gronwall type inequality with applications
, 2017 In this paper, we obtain the Gronwall type inequality for generalized fractional operators unifying Riemann-Liouville and Hadamard fractional operators.
Yassine Adjabi +2 more
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Newton's method for stochastic functional differential equations
Electronic Journal of Differential Equations, 2012 In this article, we apply Newton's method to stochastic functional differential equations. The first part concerns a first-order convergence. We formulate a Gronwall-type inequality which plays an important role in the proof of the convergence theorem
Monika Wrzosek
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VOLTERRA INTEGRAL-EQUATIONS AND A NEW GRONWALL INEQUALITY .1. THE LINEAR CASE
, 1987 SynopsisWe present a generalisation of the continuous Gronwall inequality and show its use in bounding solutions of discrete inequalities of a form that arise when analysing the convergence of product integration methods for Volterra integral equations ...
A. M. Stuart +3 more
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Further finite-time stability analysis of neural networks with proportional delay
Franklin OpenDifferent from fixed delays between neurons, proportional delay is a time-varying unbounded delay. In this paper, the issue of finite-time stability of fractional-order neural networks with proportional delay is investigated.
Binbin Gan, Mengqing Yang
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An inequality for a class of integral systems
, 1977 A new inequality of the Gronwall type is established for a class of integral systems.
David E. Greene, Greene, David E.
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