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Set-valued random differential equations in Banach space

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Michta M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1995

tom 15

nr 2

191-200

We consider the problem of the existence of solutions of the random set-valued equation: (I) $D_HX_t = F(t,X_t)P.1$, t ∈ [0,T] -a.e.; X₀ = U p.1 where F and U are given random set-valued mappings with values in the space $K_c(E)$, of all nonempty, compact and convex subsets of the separable Banach space E. Under certain restrictions on F we obtain existence of solutions of the problem (I). The connections between solutions of (I) and solutions of random differential inclusions are investigated.

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1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Michta M.

1 1995

Wyniki wyszukiwania

Set-valued random differential equations in Banach space