| Gronwall—Bellman型离散不等式的若干推广 |
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| 引用本文： | 苏细强.Gronwall—Bellman型离散不等式的若干推广[J].暨南大学学报,1990,11(1):12-19. |
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| 作者姓名： | 苏细强 |
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| 作者单位： | 暨南大学数学系 |
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| 摘 要： | 本文建立了若干线性 Gronwall—Bellman 型离散不等式,并在所涉及的泛函 H不具备次可加性和次可乘性的情况下,得到了若干非线性离散不等式的估计式,从而改进和推广了 Pachpatte B G 的结果。
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| 关 键 词： | 离散不等式 线性 非线性 |
On Some Discrete Generalizations of Gronwall-Bellman's Inequality |
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| Su Xiqiang.On Some Discrete Generalizations of Gronwall-Bellman''''s Inequality[J].Journal of Jinan University(Natural Science & Medicine Edition),1990,11(1):12-19. |
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| Authors: | Su Xiqiang |
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| Institution: | Dept.of Mathematics |
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| Abstract: | One of the most useful techniques frequently used in the study of finite difference equations and numerical analysis consists in applying diserete inequalities,especially the various kinds of Gronwall type inequalities.In this paper,we derive several new discrete inequalities of Gronwall-Bellman type.Some of them extend the recent results obtained by Pachpatte B G. |
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| Keywords: | Lincar Nonlinear Gronwall-Bellman type inequalilies Discrete inequalities |
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