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Variation of constant formula for first order fuzzy differential equations. (English) Zbl 1250.34005
The authors consider first order linear differential equations under the generalized differentiability concept and present the variation of constant formula in the general case. These results complete some results in [B. Bede, I. J. Rudas and A. L. Bencsik, “First order linear fuzzy differential equations under generalized differentiability”, Inf. Sci. 177, No. 7, 1648–1662 (2007; Zbl 1119.34003)]. Several examples are presented to illustrate the applicability of these results.

MSC:
34A07 Fuzzy ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems
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