Bellman-Bihari型积分不等式的推广及应用 |
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引用本文: | 石红,高广远,孟凡伟. Bellman-Bihari型积分不等式的推广及应用[J]. 曲阜师范大学学报, 2003, 29(4): 6-10 |
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作者姓名: | 石红 高广远 孟凡伟 |
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作者单位: | [1]曲阜师范大学数学系,山东省曲阜市273165 [2]烟台教育学院数学系,山东省烟台市264001 |
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基金项目: | 山东省自然科学基金资助项目(Y2001A03) |
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摘 要: | 推广了一类Bellman-Bihari型不等式,得到几个非线性的积分不等式.所得不等式在研究微分方程定性理论中有着重要的应用.
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关 键 词: | Bellman—Bihari型积分不等式 微分方程 定性理论 稳定性 非线性积分不等式 |
文章编号: | 1001-5337(2003)04-0006-05 |
SOME GENERALIZATIONS OF BELLMAM-BIHARI TYPE INTEGRAL INEQUALITY AND THEIR APPLICATIONS |
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Abstract: | Some nonlinear integral inequalities are established, which generalizes certain Bellman_Bihari type inequalities. The inequalities obtained play an important role in the qualitative theory of certain differential equations. |
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Keywords: | nonlinear integral inequality differential equation |
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