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一类非连续模糊系统与模糊Henstock积分 被引量:1

A kind of discontinuous fuzzy systemand fuzzy Henstock integral
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摘要 利用模糊Henstock积分理论,讨论了一类非连续模糊微分方程初值问题 x′(t)= f(t, x(t)), x(a)= x0解的存在性.这里不需要 f:[a,b]×E1E1是连续的. By using the fuzzy Henstock integral,the existence and uniqueness theorems of generalized solution are established for the discontinuous fuzzy system ′(t)=(t,(t)),(a)=0.Where it is not required that :×E1E1  is continuous.
作者 巩增泰
出处 《西北师范大学学报(自然科学版)》 CAS 2002年第4期16-19,38,共5页 Journal of Northwest Normal University(Natural Science)
基金 甘肃省自然科学基金资助项目(ZS011 A25 012 Z) 西北师范大学科技创新工程项目(NWNU KJCXCC 212)
关键词 模糊数学 非连续模糊系统 模糊Henstock积分理论 初值问题 广义解 存在性 非连续模糊微分方程 fuzzy number discontinuous fuzzy system fuzzy Henstock integral initial value problem existence of generalized solution
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  • 1Wu C X,Fuzzy Sets Systems,2000年,115期,377页
  • 2Wu C X,Fuzzy Sets Systems,1992年,45卷,189页

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