TY  - JOUR
ID  - Mihail2011
LB  - Mihail2011
AU  - Mihail, Megan
AU  - Ceauşu, Traian
AU  - Ramneanţu, Magda Luminiţa
TI  - Polynomial stability of evolution operators in Banach spaces
ST  - Polynomial stability of evolution operators in Banach spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 2
SP  - 279
EP  - 288
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.2.279
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.2.279
AB  - 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.
KW  - evolution operator
KW  - polynomial stability
KW  - exponential stability
SN  - 1232-9274
ER  -