%0 Journal Article
%T Polynomial stability of evolution operators in Banach spaces
%A Mihail Megan
%A Traian Ceau£żu
%A Magda Lumini£ża Ramnean£żu
%J Opuscula Mathematica
%D 2011
%I AGH University of Science and Technology
%X The paper considers three concepts of polynomial stability for linear evolution operators which are defined in a general Banach space and whose norms can increase not faster than exponentially. Our approach is based on the extension of techniques for exponential stability to the case of polynomial stability. Some illustrating examples clarify the relations between the stability concepts considered in paper. The obtained results are generalizations of well-known theorems about the uniform and nonuniform exponential stability.
%K evolution operator
%K polynomial stability
%K exponential stability
%U http://www.opuscula.agh.edu.pl/vol31/2/art/opuscula_math_3119.pdf