uniform stability
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Author(s):  
Fayssal Djellali

In this work, we consider a thermoelastic laminated beam with structural damping, where the heat flux is given by Green and Naghdi theories. We establish the well-posedness of the system using semigroup theory. Moreover, under the condition of equal wave speeds, we prove an exponential stability result for the considered system. In the case of lack of exponential stability we show that the solution decays polynomially.


Author(s):  
M. M. Cavalcanti ◽  
W. J. Corrêa ◽  
V. N. Domingos Cavalcanti ◽  
M. A. Jorge Silva ◽  
J. P. Zanchetta

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 235
Author(s):  
Rovana Boruga(Toma) ◽  
Mihail Megan ◽  
Daniela Maria-Magdalena Toth

The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution operator to be uniform h- stable. As particular cases of this notion, we obtain four characterizations for uniform exponential stability and two characterizations for uniform polynomial stability.


Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 182
Author(s):  
Tímea Melinda Személy Fülöp ◽  
Mihail Megan ◽  
Diana Ioana Borlea(Pătraşcu)

The main purpose of this paper is to study a more general concept of uniform stability in mean in which the uniform behavior in the classical sense is replaced by a weaker requirement with respect to some probability measure. This concept includes, as particular cases, the concepts of uniform exponential stability in mean and uniform polynomial stability in mean. Extending techniques employed in the deterministic case, we obtain variants of some results for the general cases of uniform stability in mean for stochastic skew-evolution semiflows in Banach spaces.


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