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On the topological structure of the solution set for a semilinear ffunctional-differential inclusion in a Banach space

100%

Conti G., Obukhovskiĭ V., Zecca P.

Banach Center Publications

1996

tom 35

nr 1

159-169

In this paper we show that the set of all mild solutions of the Cauchy problem for a functional-differential inclusion in a separable Banach space E of the form x'(t) ∈ A(t)x(t) + F(t,x_t) is an $R_δ$-set. Here {A(t)} is a family of linear operators and F is a Carathéodory type multifunction. We use the existence result proved by V. V. Obukhovskiĭ [22] and extend theorems on the structure of solutions sets obtained by N. S. Papageorgiou [23] and Ya. I. Umanskiĭ [32].

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Some results on boundary value problems for multivalued differential equations

99%

Conti G., Iannacci R.

Annales Polonici Mathematici

1986-1987

tom 47

nr 3

319-329

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

2 Conti G.

1 Iannacci R.

1 Obukhovskiĭ V.

1 Zecca P.

1 1996

1 1987

Wyniki wyszukiwania

On the topological structure of the solution set for a semilinear ffunctional-differential inclusion in a Banach space

Some results on boundary value problems for multivalued differential equations