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n阶模糊微分方程的一种新解法 被引量：2

A New Method forth-order Fuzzy Differential Equations
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摘要 研究了具有Seikkala导数的n阶模糊微分方程的模糊初值问题,通过1-水平截集方程和左、右扩展方程的解构造出原模糊微分方程的解,给出了具体的算例. In this paper, we studies the fuzzy initial value problem for nth-order fuzzy differential equations under Seikkala derivative, and gives the solution of fllzzy differential equations by solution of 1-level cut equation, left extension equation and left extension equation. At last, we put forward one example.
作者 王磊 郭嗣琮
机构地区 辽宁工程技术大学基础教学部 辽宁工程技术大学理学院
出处 《数学的实践与认识》 CSCD 北大核心 2012年第2期236-240,共5页 Mathematics in Practice and Theory
基金 教育部博士点基金(20102121110002)
关键词 模糊值函数 Seikkala导数 1-水平截集方程 扩展方程 fuzzy valued function seikkala derivative 1-level cut equation extension function
分类号 O159 [理学—基础数学]
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共引文献15

同被引文献13

  • 1Zhang Q, Rathinasamy A. Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes[J]. Applied Mathematics and Computation, 2013, 219: 7297-7305.
  • 2Zhang Q, Wei D. Necessary and sufficient conditions for near-optimal harvesting control problem of stochastic age-dependent system[J]. Applied Mathematics and Computation, 2013, 221: 394-402.
  • 3Zhang Q, Han C. Existence and uniqueness for a stochastic age-structured population system with diffusion[J]. Applied Mathematical Modelling, 2008, 32: 2197-2206.
  • 4Li R, Leung P, Pang W. Convergence of numerical solutions to stochastic age-dependent population equations with Markovian switching[J]. Journal of Computationaland Applied Mathematics, 2009, 233: 1046-1055.
  • 5Wang L, Wang X. Convergence of the semi-implicit Euler method for stochastic age-dependent population equations with Poisson jumps[J]. Applied Mathematical Modelling, 2010, 34:2034-2043.
  • 6Feng Y. Fuzzy stochastic differential systems[J]. Fuzzy Sets and Systems, 2000, 115: 351-363.
  • 7M.T. Malinowski, Strong solutions to stochastic fuzzy differential equations of It6 type[J]. Mathe- matical and Computer Modelling, 2012, 55: 918-928.
  • 8M.T. Malinowski, It6 type stochastic fuzzy differential equations with delay[J]. Systems&: Control Letters, 2012, 61: 692-701.
  • 9Fei W. Existence and uniqueness for solutions to fuzzy stochastic differential equations driven by local martingales under the non-Lipschitzian condition[J]. Nonlinear Analysis, 2013, 76: 202-214.
  • 10苏方伟,胡良剑.模糊随机微分方程解的存在唯一性[J].模糊系统与数学,2009,23(4):66-73. 被引量：6

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数学的实践与认识
2012年 第2期

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