Results 71 to 80 of about 588 (178)
Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
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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
doaj +1 more source
A Note on Gronwall’s Inequality on Time Scales
Abstract and Applied Analysis, 2014 This paper gives a new version of Gronwall’s inequality on time scales. The method used in the proof is much different from that in the literature. Finally, an application is presented to show the feasibility of the obtained Gronwall’s inequality.
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The solution of a nonlinear Gronwall inequality [PDF]
Proceedings of the American Mathematical Society, 1973 This paper extends some of the earlier results of J. V. Herod, W. W. Schmaedeke and G. R. Sell, and B. W. Helton and shows that, under the given conditions, (1) there is a function u u
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On Gronwall's Inequality [PDF]
Proceedings of the American Mathematical Society, 1967 Chu, C. S., Metcalf, F. T.
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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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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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An Asymptotic Behavior Property of High-Order Nonlinear Dynamic Equations on Time Scales
AxiomsIn this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results ...
Yuan Yuan, Qinghua Ma
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A generalized Gronwall inequality and its application to fractional neutral evolution inclusions
Journal of Inequalities and Applications, 2016 This paper deals with the fractional neutral evolution differential inclusions. The existence results are established by using the fractional power of operators and a fixed point theorem for multivalued map.
Zufeng Zhang, Zhangzhi Wei
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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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