Bulletin of the Belgian Mathematical Society - Simon Stevin

Polynomial stability of evolution cocycles and Banach function spaces

Pham Viet Hai

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In this paper, we give characterizations for a polynomial stability in Banach spaces. This is done by using evolution cocycles and techniques of Banach function spaces. Our characterizations are new versions of the theorems of Datko type.

Article information

Bull. Belg. Math. Soc. Simon Stevin, Volume 26, Number 2 (2019), 299-314.

First available in Project Euclid: 28 June 2019

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34D05: Asymptotic properties 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 93D20: Asymptotic stability

polynomial stability evolution cocycles Banach function spaces


Hai, Pham Viet. Polynomial stability of evolution cocycles and Banach function spaces. Bull. Belg. Math. Soc. Simon Stevin 26 (2019), no. 2, 299--314. doi:10.36045/bbms/1561687567. https://projecteuclid.org/euclid.bbms/1561687567

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