On some new integral inequalities of Gronwall-Bellman-Pachpatte type |
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| Authors: | A Abdeldaim M Yakout |
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| Institution: | a Community College, Shaqra University, Al-Dawadmi 11911, Saudi Arabia
b Mathematics Department, Faculty of Science, Port Said, Suez Canal University, Egypt |
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| Abstract: | In this paper, we establish new nonlinear integral inequalities of Gronwall-Bellman-Pachpatte type. These inequalities generalize some former famous inequalities and can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some nonlinear ordinary differential and integral equations. The purpose of this paper is to extend certain results which proved by Pachpatte in Inequalities for Differential and Integral Equations, Academic Press, New York and London, 1998]. Some applications are also given to illustrate the usefulness of our results. |
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| Keywords: | Integral inequalities Gronwall-Bellman inequality Ordinary differential equations Integral equations Integrodifferential equations |
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