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Gronwall Inequality for Hybrid Systems

open access: yesAutomatica, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dragan Nesic   +2 more
exaly   +5 more sources

Best Possible Gronwall Inequalities

open access: yesMathematical and Computer Modelling, 1997
The authors have obtained upper estimates on the inequalities of the form \[ u_{n+ 1}\leq T_n\{u\},\quad n= 1,2,\dots, \] by using the monotonicity of the operators involved. The mathematical induction is used to establish the results in the paper.
Ewa Magnucka-Blandzi, R P Agarwal
exaly   +3 more sources

A Discrete Fractional Gronwall Inequality [PDF]

open access: yesProceedings of the American Mathematical Society, 2012
In this work we derive a Gronwall type inequality within the discrete fractional setting. Our results constitute generalizations on the inequalities of discrete calculus.
Rui A.C. Ferreira
exaly   +3 more sources
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Gronwall Inequalities

Interdisciplinary Mathematical Sciences, 2013
Jianxiong Cao, Changpin Li, Fanhai Zeng
exaly   +2 more sources

Gronwall’s Inequality on Discrete Fractional Calculus

open access: yesComputers and Mathematics With Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul W. Eloe, Ferhan M Atici
exaly   +5 more sources

Generalizations of Gronwall–Bihari Inequalities on Time Scales [PDF]

open access: yesJournal of Difference Equations and Applications, 2009
This is a preprint of an article accepted (16/May/2008) for publication in the "Journal of Difference Equations and Applications"; J. Difference Equ. Appl.
Rui A.C. Ferreira, Delfim F. M. Torres
exaly   +4 more sources

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