In the paper we study the problems: (1) x'(t) \in F(t, x(t), (V x)(t)) a.e. in [0, b], x(0) = x0, and (2) x'(t) \in ext F(t, x(t), (V x)(t)) a.e. in [0, b], x(0) = x0, where ext F(t, x, y) is the set of extreme points of the set F(t, x, y), (V x)(t) and we state theorems on the existence of a solution to problem (2); on the density, on the connectedness of the solution set of (1); on the continuous dependence of the solution set of (1) on the parameters.
On the solution set of nonlinear integrodifferential inclusions in R^n
CARDINALI, Tiziana;
1997
Abstract
In the paper we study the problems: (1) x'(t) \in F(t, x(t), (V x)(t)) a.e. in [0, b], x(0) = x0, and (2) x'(t) \in ext F(t, x(t), (V x)(t)) a.e. in [0, b], x(0) = x0, where ext F(t, x, y) is the set of extreme points of the set F(t, x, y), (V x)(t) and we state theorems on the existence of a solution to problem (2); on the density, on the connectedness of the solution set of (1); on the continuous dependence of the solution set of (1) on the parameters.File in questo prodotto:
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