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Polynomial stability without polynomial decay of the relaxation function

Mathematical Methods in the Applied Sciences, 2008
AbstractWe consider a linear viscoelastic problem and prove polynomial asymptotic stability of the steady state. This work improves previous works where it is proved that polynomial decay of solutions to the equilibrium state occurs provided that the relaxation function itself is polynomially decaying to zero. In this paper we will not assume any decay
openaire   +2 more sources

Polynomials, stability, and matrix equations

1990
Abstract In Problem 4.8 it was seen how when the Laplace transform is applied to a set of constant-coefficient linear differential equations then the solution involves the characteristic polynomial of the system matrix. Readers familiar with the Laplace transform will be aware that any nth order linear differential equation can be ...
openaire   +1 more source

The kernel polynomial method

Reviews of Modern Physics, 2006
Gerhard Wellein   +2 more
exaly  

Simple Local Polynomial Density Estimators

Journal of the American Statistical Association, 2020
Matias D Cattaneo, Michael Jansson
exaly  

A Polynomial Kernel Induced Distance Metric to Improve Deep Transfer Learning for Fault Diagnosis of Machines

IEEE Transactions on Industrial Electronics, 2020
Bin Yang, Yaguo Lei, Feng Jia
exaly  

Global sensitivity analysis using polynomial chaos expansions

Reliability Engineering and System Safety, 2008
Bruno Sudret
exaly  

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