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ArticleOriginal scientific text

Title

On the density of extremal solutions of differential inclusions

Authors 1, 2

Affiliations

  1. Dipartimento di Matematica, Università di Roma II, via Fontanile di Carcaricola, 00133 Roma, Italy
  2. Istituto di Matematica, Università di Siena, via del Capitano 15, 53100 Siena, Italy

Abstract

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].

Bibliography

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Annales Polonici Mathematici
1991-1992/56/2
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Pages:
133-142
Main language of publication
English
Received
1990-01-03
Accepted
1990-08-01
Published
1992
Exact and natural sciences