Integral inequalities similar to Gronwall inequality

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 hyp...

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Main Authors: Hassane Khellaf, Mohamed Denche
Format: Article
Language:English
Published: Texas State University 2007-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/176/abstr.html
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author Hassane Khellaf
Mohamed Denche
author_facet Hassane Khellaf
Mohamed Denche
author_sort Hassane Khellaf
collection DOAJ
description 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].
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spelling doaj.art-07e0025e24574244baffeeaea32da7af2022-12-22T01:17:46ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-12-012007176114Integral inequalities similar to Gronwall inequalityHassane KhellafMohamed DencheIn 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].http://ejde.math.txstate.edu/Volumes/2007/176/abstr.htmlIntegral inequalitysubadditive and submultiplicative functionnonlinear partial differential equation
spellingShingle Hassane Khellaf
Mohamed Denche
Integral inequalities similar to Gronwall inequality
Electronic Journal of Differential Equations
Integral inequality
subadditive and submultiplicative function
nonlinear partial differential equation
title Integral inequalities similar to Gronwall inequality
title_full Integral inequalities similar to Gronwall inequality
title_fullStr Integral inequalities similar to Gronwall inequality
title_full_unstemmed Integral inequalities similar to Gronwall inequality
title_short Integral inequalities similar to Gronwall inequality
title_sort integral inequalities similar to gronwall inequality
topic Integral inequality
subadditive and submultiplicative function
nonlinear partial differential equation
url http://ejde.math.txstate.edu/Volumes/2007/176/abstr.html
work_keys_str_mv AT hassanekhellaf integralinequalitiessimilartogronwallinequality
AT mohameddenche integralinequalitiessimilartogronwallinequality