Results 31 to 40 of about 610,482 (163)
A multidimensional nonlinear Gronwall inequality
Journal of Mathematical Analysis and Applications, 1974 V. B. Headley
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A Gronwall inequality for a general Caputo fractional operator [PDF]
, 2017 In this paper we present a new type of fractional operator, which is a generalization of the Caputo and Caputo--Hadamard fractional derivative operators.
R. Almeida
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Galaxies with Spiral Structure up to z = 0.87 --Limits on M/L and the Stellar Velocity Dispersion [PDF]
, 1997 We consider seven distant galaxies with clearly evident spiral structure from HST images. Three of these were chosen from Vogt et al. (1996) (VFP) and have measured rotational velocities.
A. C. Quillen +6 more
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A Gronwall inequality via the generalized proportional fractional derivative with applications
Journal of Inequalities and Applications, 2019 In this paper, we provide a new version for the Gronwall inequality in the frame of the generalized proportional fractional derivative. Prior to the main results, we introduce the generalized proportional fractional derivative and expose some of its ...
J. Alzabut +3 more
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On Some Vector-Valued Inequalities of Gronwall Type
Abstract and Applied Analysis, 2014 In this paper we established some vector-valued inequalities of Gronwall type in ordered Banach spaces. Our results can be applied to investigate systems of real-valued Gronwall-type inequalities.
Dah-Chin Luor
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Gronwall inequalities on time scales [PDF]
Mathematical Inequalities & Applications, 2006 The authors use several different methods to extend Gronwall’s inequality to more general cases on a time scale. Two applications are also given. Mathematics subject classification (2000): 26D15.
Fu-Hsiang Wong +2 more
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A Generalized Gronwall Inequality for Caputo Fractional Dynamic Delta Operator [PDF]
Progress in Fractional Differentiation and Applications, 2019 In this paper we obtain generalized Gronwall type inequality using Caputo Fractional delta operator. Also we have obtained the existence of solution of Cauchy's Type problem on fractional dynamic equations using dynamic delta operator.
D. Pachpatte
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On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations
Journal of Function Spaces, 2016 This paper proves the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of nonlinear first-order ordinary differential equation with single constant delay and finite impulses on a compact interval.
Akbar Zada, Shah Faisal, Yongjin Li
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Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system [PDF]
, 2011 We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns are the order parameter and the chemical potential.
Colli, Pierluigi +3 more
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Gronwall's Inequality in n Independent Variables [PDF]
Proceedings of the American Mathematical Society, 1973 The paper presents an extension of Gronwall's inequality to n independent variables. The inequality is established by solving a characteristic initial value problem by the Riemann method. Thus a Riemann function associated with a hyperbolic partial differential equation appears in the inequality.
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