Integral representation of set-valued sine families

• Autorzy: Mainka-Niemczyk E.
• Języki publikacji: EN

Abstrakty

EN

Let K be a closed convex cone with nonempty interior in a real Banach space. The main objective of this paper is to show that if {Gt : t ≥ 0} is a regular sine family of continuous additive set-valued functions associated with {Ft : t ≥ 0}, then Gt are of the form Gt(x) = ∫ t 0 Fu(x)du for x ∈ K,t ≥ 0.

Słowa kluczowe

EN

set-valued sine and cosine families; Riemann integral for set-valued functions; integral representation of set-valued sine families

PL

całka Riemanna; funkcja wielowartościowa; rodzina sinusów; rodzina cosinusów

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2012
• Tom: Vol. 18, nr 2
• Strony: 243--258
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Mainka-Niemczyk E.

• Institute of Mathematics, Silesian University of Technology, ul. Kaszubska 23, 44-100 Gliwice, Poland,

Bibliografia

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