# On the density of extremal solutions of differential inclusions

Annales Polonici Mathematici (1992)

- Volume: 56, Issue: 2, page 133-142
- ISSN: 0066-2216

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topF. S. De Blasi, and G. Pianigiani. "On the density of extremal solutions of differential inclusions." Annales Polonici Mathematici 56.2 (1992): 133-142. <http://eudml.org/doc/262527>.

@article{F1992,

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].},

author = {F. S. De Blasi, G. Pianigiani},

journal = {Annales Polonici Mathematici},

keywords = {differential inclusions; extremal solutions; Choquet function; Banach space; Baire-category theorem},

language = {eng},

number = {2},

pages = {133-142},

title = {On the density of extremal solutions of differential inclusions},

url = {http://eudml.org/doc/262527},

volume = {56},

year = {1992},

}

TY - JOUR

AU - F. S. De Blasi

AU - G. Pianigiani

TI - On the density of extremal solutions of differential inclusions

JO - Annales Polonici Mathematici

PY - 1992

VL - 56

IS - 2

SP - 133

EP - 142

AB - 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].

LA - eng

KW - differential inclusions; extremal solutions; Choquet function; Banach space; Baire-category theorem

UR - http://eudml.org/doc/262527

ER -

## References

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- [17] A. A. Tolstonogov, On differential inclusions in Banach spaces, Soviet Math. Dokl. 20 (1979), 186-190. Zbl0439.34052

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