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Maximal solutions and existence theory for fuzzy differential and integral equations

100%

Agarwal R. P. , O'Regan D. , Lakshmikantham V.

tom Vol. 11, nr 2

171-186

New existence resilts are prosented for fuzzy differential and integral equations. Our analysis combines the stacking theorem with results concerning the maximal solution for an appropriate differential equation.

Set differential equations in Frechet spaces

100%

Galanis G. N. , Bhaskar T. G. , Lakshmikantham V.

tom Vol. 14, nr 1

103-113

It is known that a frachet space F can be realized as a projective limit of a sequence of Banach spaces Ei. The space Kc(F) of all compact, convex subsets of a Frechet space, F, is realized as a projective limit of the semilinear metric spaces Kc(Ei). Using the notion of Hukuhara derivative for maps with values in Kc(F), we prove the local and global existence theorems for an initial value problem associated with a set differential equation.