| 一类新的非线性时滞积分不等式 |
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| 引用本文： | 程茹,孟凡伟.一类新的非线性时滞积分不等式[J].曲阜师范大学学报,2014(3):45-52. |
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| 作者姓名： | 程茹 孟凡伟 |
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| 作者单位： | 曲阜师范大学数学科学学院; |
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| 摘 要： | 推广了一类新的Gronwall-Bellman-Pachpatte型积分不等式,建立了一类新型的提供未知函数显式边界条件的时滞积分不等式.这些不等式可以用于特定的时滞微分方程和时滞积分方程的定性性质的研究.
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| 关 键 词： | 积分不等式 非线性 时滞 积分方程 |
Some New Nonlinear Integral Inequalities with Delay |
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| CHENG Ru,MENG Fan-wei.Some New Nonlinear Integral Inequalities with Delay[J].Journal of Qufu Normal University(Natural Science),2014(3):45-52. |
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| Authors: | CHENG Ru MENG Fan-wei |
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| Institution: | ( School of Mathematical Sciences, Qufu Normal University, 273165, Qufu, Shandong, PRC) |
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| Abstract: | In this paper,a new class of Gronwall-Bellman-Pachpatte integral inequalities and some new delay integral inequality with explicit bounds on unknown functions are established.The inequalities given here can be used as tools in the qualitative theory of certain delay differential equations and delay integral equations. |
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| Keywords: | integral inequality nonlinear delay integral equation |
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