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Peano's theorem in Banach spaces

✍ Scribed by A. N. Godunov


Publisher
Springer US
Year
1975
Tongue
English
Weight
155 KB
Volume
9
Category
Article
ISSN
0016-2663

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On Osgood theorem in Banach spaces
✍ Stanislav Shkarin πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 165 KB πŸ‘ 1 views

## Abstract Let __X__ be a real Banach space, __Ο‰__ : [0, +∞) β†’ ℝ be an increasing continuous function such that __Ο‰__(0) = 0 and __Ο‰__(__t__ + __s__) ≀ __Ο‰__(__t__) + __Ο‰__(__s__) for all __t__, __s__ ∈ [0, +∞). According to the infinite dimensional analog of the Osgood theorem if ∫^1^~0~ (__Ο‰__(_