ON THE APPROXIMATIONS OF SOLUTIONS TO FUZZY DIFFERENTIAL EQUATIONS

XUE XIAOPING; CHEN MINHAO; FU YONGQIANG

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ON THE APPROXIMATIONS OF SOLUTIONS TO FUZZY DIFFERENTIAL EQUATIONS

机译：关于模糊微分方程解的逼近

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摘要

In this paper, the existence and uniqueness of Caratheodory solutions for fuzzy differential equations of one dimension are established. Furthermore, under some conditions, the approximations of solutions for the above differential equations are disscused.

机译：本文建立了一维模糊微分方程Caratheodory解的存在性和唯一性。此外，在某些条件下，讨论了上述微分方程的解的近似值。

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来源
《Scientiae mathematicae Japonicae》 |2003年第3期|p.439-448|共10页
作者
XUE XIAOPING; CHEN MINHAO; FU YONGQIANG;
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作者单位

DEPARTMENT OF MATHEMATICS, HARBIN INSTITUTE OF TECHNOLOGY HARBIN, 150001, P. R. CHINA;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
fuzzy number; differential equation; cauchy problem; stability;

机译：模糊数微分方程柯西问题稳定性;

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3. APPROXIMATION OF SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH FRACTIONAL BROWNIAN MOTION BY SOLUTIONS OF RANDOM ORDINARY DIFFERENTIAL EQUATIONS [J] . Ralchenko KV, Shevchenko HM Ukrainian mathematical journal . 2011,第9期

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5. Soliton solutions of nonlinear partial differential equations using variational approximations and inverse scattering techniques. [D] . Vogel, Thomas K. 2007

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6. Rational approximations to solutions of linear differential equations [O] . D. V. Chudnovsky, G. V. Chudnovsky 1983

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7. Numerical solution of fuzzy elliptic partial differential equations by a polynomial Galerkin approximation [O] . Corveleyn Samuel, Vandewalle Stefan 2011

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8. Efficient Numerical Approximations of Tracking Statistical Quantities of Interest From the Solution of High-Dimensional Stochastic Partial Differential Equations. [R] . Trenchea, C. 2012

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ON THE APPROXIMATIONS OF SOLUTIONS TO FUZZY DIFFERENTIAL EQUATIONS

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