Brief note on the variation of constants formula for fuzzy differential equations. (English) Zbl 1021.34048

Diamond, Phil

Fuzzy Sets Syst. 129, No. 1, 65-71 (2002).

Here, the author gives a fuzzy analogue of the classical crips variation of constants formula. First, fuzzy matrix transfer functions are expressed in terms of solutions sets to families of inclusions. Then, nonhomogeneous differential equations are similarly interpreted. References are made to previously published papers. In conclusion, the author briefly provides an example to illustrate his result.

Reviewer: M.L.Mehre (Bonn)

MSC:

34G20	Nonlinear differential equations in abstract spaces
34A60	Ordinary differential inclusions
34A30	Linear ordinary differential equations and systems
49J24	Optimal control problems with differential inclusions (existence) (MSC2000)
26E50	Fuzzy real analysis

Keywords:

fuzzy differential equations; differential inclusions; transition matrix; variation of constants

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