The authors study the following multivalued differential equations: (1.1) x˙∈F(t,x), x(t0)=x0(⋅=d/dt), (1.2) x˙∈∂F(t,x), x(t0)=x0, where F is a mapping of an open subset of R×X into the set of all closed, convex, bounded subsets of X which have nonempty interior. (Here X denotes a real Banach space.)
A BAIRE CATEGORY APPROACH TO THE EXISTENCE OF SOLUTIONS OF MULTIVALUED DIFFERENTIAL EQUATIONS IN BANACH SPACES / G. PIANIGIANI; F. DE BLASI. - In: FUNKCIALAJ EKVACIOJ. - ISSN 0532-8721. - STAMPA. - 25(1982), pp. 153-162.
A BAIRE CATEGORY APPROACH TO THE EXISTENCE OF SOLUTIONS OF MULTIVALUED DIFFERENTIAL EQUATIONS IN BANACH SPACES
PIANIGIANI, GIULIO;
1982
Abstract
The authors study the following multivalued differential equations: (1.1) x˙∈F(t,x), x(t0)=x0(⋅=d/dt), (1.2) x˙∈∂F(t,x), x(t0)=x0, where F is a mapping of an open subset of R×X into the set of all closed, convex, bounded subsets of X which have nonempty interior. (Here X denotes a real Banach space.)
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