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On null set and observability of abstract evolution equation

✍ Scribed by B. Shklyar

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
274 KB
Volume
47
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Approximate observability of abstract ev
Approximate observability of abstract evolution equation with unbounded observation operator
✍ B Shklyar πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 592 KB

## Propetiic of the null set of the evolution equation S = Ax(t), z(0) = x0, g(t) = Cz(t) (A generates a strongly continuous semigroup {S(t))t>~ on a Banach space X, C is a linear unbounded operator) are investigated. Conditions for approGmate observability of such system are obtained.

On the representation of Choquet integra
On the representation of Choquet integrals of set-valued functions, and null sets
✍ L.C. Jang; J.S. Kwon πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 97 KB

In this paper, we consider the deΓΏnition of set-valued Choquet integrals. We obtain some properties and the representation of set-valued Choquet integrals. And also, we discuss some fundamental relations between null sets and set-valued Choquet integrals.