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   Articles with "polynomial stability" as a keyword



On the exponential and polynomial stability for a linear Bresse system

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recommendations! Published in 2019 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.6070

Abstract: In this paper, we consider a linear one-dimensional Bresse system consisting of three hyperbolic equations coupled in a certain manner under mixed homogeneous Dirichlet-Neumann boundary conditions. Here, we consider that only the longitudinal displacement is… read more here.

Keywords: exponential polynomial; system; polynomial stability; bresse system ... See more keywords

Polynomial Stability and Polynomial Instability for Skew-Evolution Semiflows

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recommendations! Published in 2019 at "Results in Mathematics"

DOI: 10.1007/s00025-019-1099-3

Abstract: In this paper, we give characterizations for a polynomial stability of skew-evolution semiflows, using Banach spaces of sequences or functions. We obtain variants of some theorems due to Datko, for the case of a polynomial… read more here.

Keywords: evolution semiflows; polynomial stability; skew evolution; stability ... See more keywords
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The lack of polynomial stability to mixtures with frictional dissipation.

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recommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2016.09.003

Abstract: Abstract We consider the system modeling a mixture of n materials with frictional damping. We show that the corresponding semigroup is exponentially stable if and only if the imaginary axis is contained in the resolvent… read more here.

Keywords: lack polynomial; stability mixtures; polynomial stability; frictional dissipation ... See more keywords

Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type

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recommendations! Published in 2023 at "Proceedings of the Edinburgh Mathematical Society"

DOI: 10.1017/s0013091523000111

Abstract: Abstract This work studies the asymptotic behavior of a waves coupled system with a boundary dissipation of the fractional derivative type. We prove well-posedness and polynomial stability based on the semigroup approach, the energy method,… read more here.

Keywords: fractional derivative; polynomial stability; derivative type; stability ... See more keywords