Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 176, pp. 1-14.

Title: Integral inequalities similar to Gronwall inequality

Authors: Mohamed Denche  (Univ. of Mentouri, Constantine, Algeria)
         Hassane Khellaf (Univ. of Mentouri, Constantine, Algeria)

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.