Geodesic
On the density of extremal solutions of differential inclusions
Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 133-142

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

An existence theorem for the cauchy problem (*) ẋ ∈ ext F(t,x), x(t₀) = x₀, in banach spaces is proved, under assumptions which exclude compactness. Moreover, a type of density of the solution set of (*) in the solution set of ẋ ∈ f(t,x), x(t₀) = x₀, is established. The results are obtained by using an improved version of the baire category method developed in [8]-[10].
DOI : 10.4064/ap-56-2-133-142

F. De Blasi 1 ; G. Pianigiani 1

1 
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F. De Blasi; G. Pianigiani. On the density of extremal solutions of differential inclusions. Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 133-142. doi: 10.4064/ap-56-2-133-142

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