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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Format: | Article |
Language: | English |
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Texas State University
2007-12-01
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Series: | Electronic Journal of Differential Equations |
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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]. |
first_indexed | 2024-12-11T06:22:41Z |
format | Article |
id | doaj.art-07e0025e24574244baffeeaea32da7af |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-12-11T06:22:41Z |
publishDate | 2007-12-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
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 |