Integral inequalities similar to Gronwall inequality

Date

2007-12-12

Authors

Denche, Mohamed
Khellaf, Hassane

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

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].

Description

Keywords

Integral inequality, Subadditive and submultiplicative function, Nonlinear partial differential equation

Citation

Denche, M., & Khellaf, H. (2007). Integral inequalities similar to Gronwall inequality. <i>Electronic Journal of Differential Equations, 2007</i>(176), pp. 1-14.

Rights

Attribution 4.0 International

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