Electron. J. Diff. Equ., Vol. 2014 (2014), No. 117, pp. 1-16.

Integral inequalities with time delay in two independent variables

Hassene Khellaf, Mouhamed Smakdji, Mouhamed Denche

Abstract:
In this article, we generalize some retarded integral inequalities in two independent variables to more general situations. These integral inequalities can be applied as tools to the study of certain class of integral and differential equations with time delay.

Submitted August 2, 2013. Published April 22, 2014.
Math Subject Classifications: 26D10, 26D15.
Key Words: Retarded integral inequality; Gronwall-like type inequality; submultiplicative function; differential equations with time delay.

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Hassene Khellaf
Laboratory of Differential Equations
Department of Mathematics, University of Constantine 1
Constantine 25000, Algeria
email: khellafhassane@umc.edu.dz
Mouhamed El-Hadi Smakdji
Laboratory of Differential Equations
Department of Mathematics, University of Constantine 1
Constantine 25000, Algeria
email:smakelhadi71@gmail.com
Mouhamed Denche
Laboratory of Differential Equations
Department of Mathematics, University of Constantine 1
Constantine 25000, Algeria
email: m_denche@hotmail.com

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