Results 111 to 120 of about 606,903 (214)
On Gronwall's Inequality [PDF]
Proceedings of the American Mathematical Society, 1967 Chu, C. S., Metcalf, F. T.
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Some Improvements of Conformable Fractional Integral Inequalities
International Journal of Analysis and Applications, 2017 In this study, we wish to set up and present some new conformable fractional integral inequalities of the Gronwall type which have a great variety of implementation area in differential and integral equations.
Fuat Usta, Mehmet Zeki Sarıkaya
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We prove the following version generalization of the Gronwall inequality: Let $\mathbf X$ be a Banach space and $U\subset \mathbf X$ an open convex set in $\mathbf X$. Let $f,g\colon [a,b]\times U\to \mathbf X$ be continuous functions and let $y,z\colon [a,b]\to U$ satisfy the initial value problems \begin{align*} y'(t)&=f(t,y(t)),\quad y(a)=y_0,\\
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Journal of Applied Mathematics, 2013 By use of the properties of the modified Riemann-Liouville fractional derivative, some new Gronwall-Bellman-type inequalities are researched. First, we derive some new explicit bounds for the unknown functions lying in these inequalities, which are of ...
Bin Zheng
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Nonlinear retarded integral inequalities of Gronwall-Bellman type and applications
, 2016 The aim of this paper is to establish some new nonlinear retarded integral inequalities of Gronwall-Bellman type. More accurately we extend certain results which have been proved in El-Owaidy et.
A. Abdeldaim
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Short proof of a discrete gronwall inequality
Discrete Applied Mathematics, 1987 In the classical discrete Gronwall inequality \(\{x_ n\leq a_ n+\sum^{n-1}_{j=n_ 0}b_ jx_ j,\quad n=n_ 0,...,N\quad implies\quad x_ n\leq a^*\prod^{n-1}_{j=n_ 0}(1+b_ j)\}\) the description of the multiplier \(a^*\) is improved and the use of such inequality in stability considerations for difference equations is illustrated.
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Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications
Journal of Applied Mathematics, 2014 This paper investigates some generalized Gronwall-Bellman type impulsive integral inequalities containing integration on infinite intervals. Some new results are obtained, which generalize some existing conclusions.
Yuzhen Mi
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Gronwall-type integral inequalities with impulses on time scales
Advances in Difference Equations, 2011 In this article, some Gronwall-type integral inequalities with impulses on time scales are investigated. Our results extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete ...
Kang Ying +4 more
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Uniform Finite Element Error Estimates with Power-Type Asymptotic Constants for Unsteady Navier-Stokes Equations. [PDF]
Entropy (Basel), 2022 Xie C, Wang K.
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Finite-Time H∞ Control for Time-Delay Markovian Jump Systems with Partially Unknown Transition Rate via General Controllers. [PDF]
Entropy (Basel), 2023 Liu X, Guo X, Liu W, Li Y.
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