## A boundary value problem for second order fuzzy differential equations.(English)Zbl 1193.34004

The authors consider the two-point boundary value problem for fuzzy differential equations in the space of fuzzy real numbers
$y'' (t)=f(t,y(t),y' (t)), \,\, y(0)=y_0,\,\, y(1)=y_1,$
where $$y_0,y_1\in E^1$$ and $$f:[0,1]\times E\times E\to E$$ is a continuous fuzzy function, and show that the set of solutions for the case when the derivative is understood in the sense of Hukuhara [O. Kaleva, Fuzzy Sets Syst. 24, 301–317 (1987; Zbl 0646.34019)] is included in the set of solutions when the derivative is understood in the generalized sense [B. Bede and S. G. Gal, Fuzzy Sets Syst. 151, No. 3, 581–599 (2005; Zbl 1061.26024)]. They present some examples to illustrate their results.

### MSC:

 34A07 Fuzzy ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations

### Citations:

Zbl 0646.34019; Zbl 1061.26024
Full Text:

### References:

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