University of Mentouri, Faculty of Science
Department of Mathematics
Constantine 25000, Algeria
email: denech@wissal.dz
University of Mentouri, Faculty of Science
Department of Mathematics
Constantine 25000, Algeria
email: khellafhassane@yahoo.fr
Mohamed Denche, Hassane Khellaf
Abstract:
In the present paper, we establish some nonlinear integral inequalities
for functions of one variable, with a further generalization functions
with n independent variables. We apply our results to a system of
nonlinear differential equations for functions of one variable and
to the nonlinear hyperbolic partial integrodifferential equation
in n-independent variables. These results extend the Gronwall type
inequalities obtained by Pachpatte [6] and Oguntuase [5].
Submitted November 15, 2007. Published December 12, 2007.
Math Subject Classifications: 26D10, 26D20, 26D15.
Key Words: Integral inequality; subadditive and submultiplicative function;
nonlinear partial differential equation.
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Mohamed Denche University of Mentouri, Faculty of Science Department of Mathematics Constantine 25000, Algeria email: denech@wissal.dz |
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Hassane Khellaf University of Mentouri, Faculty of Science Department of Mathematics Constantine 25000, Algeria email: khellafhassane@yahoo.fr |
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