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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 91))

Abstract

We will concentrate on the second order, linear, constant coefficient ordinary differential equation for x in interval I. I can be [0, T], for T > 0 or I can be [0, ∞). The initial conditions are y(0) = γ 0, y′(0) = γ 1. We assume g is continuous on I.

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Bibliography

  1. J.J. Buckley and Th. Feuring: Fuzzy Differential Equations, Fuzzy Sets and Systems, 110 (1999), 4354.

    Google Scholar 

  2. J.J. Buckley and Th. Feuring: Fuzzy Initial Value Problem for N—th Order Linear Differential Equation, Fuzzy Sets and Systems, 121 (2001), pp. 247–255.

    Article  Google Scholar 

  3. J.J. Buckley, T. Feuring and Y. Hayashi: Linear Systems of First Order Ordinary Differential Equations: Fuzzy Initial Conditions, Soft Computing. To appear.

    Google Scholar 

  4. P. Diamond: Time—Dependent Differential Inclusions, Cocycle Attractors, and Fuzzy Differential Equations, IEEE Trans. Fuzzy Systems, 7 (1999), pp. 734–740.

    Article  Google Scholar 

  5. E. Hüllermeier: Numerical Methods for the Fuzzy Initial Value Problem, Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 7 (1999), pp. 439–461.

    Article  Google Scholar 

  6. J.Y. Park and H.K. Han: Fuzzy Differential Equations, Fuzzy Sets and Systems, 110 (1999), pp. 6977.

    Google Scholar 

  7. S. Song, C. Wu: Existence and Uniqueness of Solutions to Cauchy Problem of Fuzzy Differential Equations, Fuzzy Sets and Systems, 110 (1999), pp. 55–67.

    Article  Google Scholar 

  8. M.R. Spiegel: Applied Differential Equations, Third Edition, Prentice Hall, Englewood Cliffs, N. J., 1981.

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© 2002 Springer-Verlag Berlin Heidelberg

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Buckley, J.J., Eslami, E., Feuring, T. (2002). Fuzzy Differential Equations. In: Fuzzy Mathematics in Economics and Engineering. Studies in Fuzziness and Soft Computing, vol 91. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1795-9_7

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  • DOI: https://doi.org/10.1007/978-3-7908-1795-9_7

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2505-3

  • Online ISBN: 978-3-7908-1795-9

  • eBook Packages: Springer Book Archive

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