Some new integral inequalities and their applications in studying the stability of nonlinear integro-differential equations with time delay |
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| Authors: | Lianzhong Li Fanwei Meng |
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| Institution: | a School of Mathematical and System Sciences, Taishan University, Tai'an, Shandong 271021, People's Republic of China
b School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People's Republic of China |
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| Abstract: | In this paper, we generalize some integral inequalities to more general situations, and the inequalities of Pachpatte type are corollaries of our's. We establish bounds on the solutions, and we show the usefulness of our results in investigating the asymptotic behavior and the stability on the solutions of integral equations, differential equations and integro-differential equations with time delay. |
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| Keywords: | Integral inequality Integral equation Differential equation Integro-differential equation Uniform stability |
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