| 含n个变元的 Bihari 型非线性积分不等式的推广 |
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| 引用本文： | 曹丽霞,韩红梅.含n个变元的 Bihari 型非线性积分不等式的推广[J].曲阜师范大学学报,2006,32(3):45-48. |
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| 作者姓名： | 曹丽霞 韩红梅 |
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| 作者单位： | [1]曲阜师范大学运筹学院 [2]日照广播电视大学,日照市276826 [3]曲阜师范大学《中学数学杂志》编辑部,山东省曲阜市273165 |
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| 摘 要： | 讨论了Gronwall-Bellman和Bihari型不等式，得到几个含n个变元的Gronwall-Bellman和Bihari型非线性积分不等式．利用所得结论讨论某些非线性微分方程解的有界性．
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| 关 键 词： | 非线性积分不等式 n个变元 微分方程解的有界性 |
| 文章编号： | 1001-5337（2006）07-0045-04 |
| 收稿时间： | 2005-11-15 |
| 修稿时间： | 2005-11-15 |
On some Nonlinear Integral Inequalities of Bihari with n-Components Type |
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| CAO Li-xia,HAN Hong-mei.On some Nonlinear Integral Inequalities of Bihari with n-Components Type[J].Journal of Qufu Normal University(Natural Science),2006,32(3):45-48. |
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| Authors: | CAO Li-xia HAN Hong-mei |
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| Institution: | 1. School of operational and management, Qufu Normal University;2. Rizhao broadcasting and televisioncollage, 276825, Rizhao;3.Editorial Department of Zhongxue Shuxue Zazhi,273165, Qufu, Shandong, PRC |
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| Abstract: | In this paper, two kinds of generalized nonlinear integral inequalities of Gronwall-Bellman type and Bihari type are obtained, which generalize the results in literature. |
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| Keywords: | nonlinear integral inequality independent variables boundedness of solutions to differential equation |
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