| 关于模糊微分方程初值问题解的一些研究 |
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| 引用本文： | 陈明浩,张彦寰,吴从炘.关于模糊微分方程初值问题解的一些研究[J].黑龙江大学自然科学学报,2007,24(5):621-623. |
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| 作者姓名： | 陈明浩 张彦寰 吴从炘 |
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| 作者单位： | 哈尔滨工业大学,数学系,哈尔滨,150001 |
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| 摘 要： | 介绍具有紧支撑且严格模糊凸的模糊数,给出了模糊数的参数表示。利用参数表示模糊数是2中的有界连续曲线,此外,用与实分析类似的方法讨论模糊函数的微分和积分,并且研究了模糊微分方程的初值问题的解的存在性与唯一性。
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| 关 键 词： | 模糊数 模糊微分方程 初值问题 |
| 文章编号： | 1001-7011(2007)05-0621-03 |
| 修稿时间： | 2006年10月26 |
Some research on the solution to initial value problem of fuzzy differential equations |
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| Chen Minghao,Zhang Yanhuan,Wu Congxin.Some research on the solution to initial value problem of fuzzy differential equations[J].Journal of Natural Science of Heilongjiang University,2007,24(5):621-623. |
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| Authors: | Chen Minghao Zhang Yanhuan Wu Congxin |
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| Abstract: | The fuzzy numbers with compact supports and strictly fuzzy convexity are introduced,and the parametric representation of fuzzy numbers is given.By the parametric representation,fuzzy number means a bounded continuous curve in 2.Moreover,the differentials,integrals of fuzzy functions are discussed in the similar way to the real analysis,and the existence and uniqueness of solutions to initial value problems of fuzzy differential equations are also studied. |
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| Keywords: | fuzzy number fuzzy differential equation initial value problems |
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