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Taoufik Ghrissi
Mohamed Ali Hammami



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Taoufik Ghrissi
Mohamed Ali Hammami


WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 16, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 16, 2017



Generalized Retarded Integral Inequalities of Gronwall Type and Applications

AUTHORS: Taoufik Ghrissi, Mohamed Ali Hammami

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ABSTRACT: We present in this paper some retarded integral inequalities of Gronwall type. The obtained results can be used to discuss the behavior of integral equations.

KEYWORDS: Differential equations, inequalities of Gronwall type.

REFERENCES:

[1] D. Bainov and P. Simenov, Integral inequalities and applications, Kluwer Academic Publishers, Dordrecht, (1992).

[2] R. Bellman, The stability of solutions of linear differential equations, Duke Math. J., 10 (1943) 643-647.

[3] S. S. Dragomir, Some Gronwall type inequalities and applications, School of communications and Informatics Victoria university of Technology P.O.Box 14428, Melbourne city MC Victoria 8001, Australia, November 7, 2002.

[4] T. H. Gronwall, Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Ann. Math., 20 (2), (1919) 293-296.

[5] Y. Louartassi, E. El Mazoudi and N. Elalami, A new generalization of lemma GronwallBellman, Applied Mathematical Sciences, Vol. 6, no. 13, (2012) 621-628.

[6] G. Qingling and Q. Zhonghua, A Generalized Retarded Gronwall-like inequalities, Applied Mathematical Sciences Vol.7, 2013, no 99, 4943-4948.

[7] Y. H. Kim, Gronwall-Bellman and Pachpatte type integral inequalities with applications, Nonlinear Anal. 71 (2009), e2641-e2656.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #20, pp. 173-182


Copyright © 2017 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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