Results 151 to 160 of about 588 (178)

Gronwall Type Inequalities

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1995
AbstractIn Abschnitt I werden verschiedene Formen derjenigen Integralungleichung betrachtet, die von vielen Autoren als Gronwall‐Ungleichung beschrieben wird, und es wird versucht, eine allgemeine Definition zu geben. In Abschnitt II wird eine algebraische Version gegeben, von der gezeigt wird, daß sich daraus viele der bekannten Gronwall‐Ungleichungen
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An Extension of the Fractional Gronwall Inequality

2019
published
Ricardo Almeida 0001, Agnieszka B. Malinowska, Tatiana Odzijewicz   +2 more
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Weakly Singular Discrete Gronwall Inequalities

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1986
AbstractGeneralizations of the classical Gronwall inequality when the kernel of the associated integral equation is weakly singular are presented. The continuous and discrete versions are both given; the former is included since it suggests the latter by analogy.
Dixon, J., McKee, S.
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On discrete inequalities related to Gronwall’s inequality

Proceedings of the Indian Academy of Sciences - Section A, 1977
The paper presents some new discrete inequalities related to the Well-known inequality due to Gronwall. The inequalities proved can be used in the theory of finite difference equations as handy tools.
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Stochastic version of Henry type Gronwall’s inequality

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2021
We use Young’s and Hölder inequality combined with classical Gronwall’s inequality to derive present a new version of the stochastic of Gronwall’s inequalities with singular kernels.
Mekki, Slimane, Nieto, Juan J., Ouahab, Abdelghani   +2 more
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Analogues of Gronwall’s inequality

1992
In this chapter we consider various analogues of Gronwall-type inequalities. These are effective tools in the study of equations of various classes.
Drumi Bainov, Pavel Simeonov
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Generalizations of Gronwall-Bellman-Reid inequalities

Applied Mathematics and Computation, 1991
In the paper, the authors consider some one-variable linear and nonlinear integral inequalities of the Gronwall-type. Some linear inequalities involving iterated integral functionals are discussed in the first three theorems, which are all special cases of an inequality considered by this reviewer [J. Math. Anal. Appl.
Zaghrout, A. A. S., El-Dawaliby, N.
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The Gronwall inequality for weighted integrals

Proceedings of the American Mathematical Society, 1971
The objective of this paper is to establish a Gronwall inequality for the weighted refinement integral [ F , (
Wright, F. M., Klasi, M. L., Kennebeck, D. R.   +2 more
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On some nonlinear generalizations of Gronwall’s inequality

Proceedings of the Indian Academy of Sciences - Section A, 1976
Some useful nonlinear generalizations of the Gronwall’s inequality which contain, as special cases, the recent generalizations of this inequality given by I. Bihari, D. Willett and J. S. W. Wong and several recent works are presented.
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More Generalised Discrete Gronwall Inequalities

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1985
AbstractThe most general linear discrete Gronwall inequality is first considered, and best possible solutions of the inequality are obtained by elementary methods which are discrete analgoues of those used for Volterra integral equations. Upper bounds are also obtained for solutions in case the kernel is of a generalised Abel type, improving and ...
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