Opuscula Math. 31, no. 2 (2011), 279-288
http://dx.doi.org/10.7494/OpMath.2011.31.2.279

 
Opuscula Mathematica

Polynomial stability of evolution operators in Banach spaces

Megan Mihail
Traian Ceauşu
Magda Luminiţa Ramneanţu

Abstract. 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.

Keywords: evolution operator, polynomial stability, exponential stability.

Mathematics Subject Classification: 34D05, 34E05.

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Cite this article as:
Megan Mihail, Traian Ceauşu, Magda Luminiţa Ramneanţu, Polynomial stability of evolution operators in Banach spaces, Opuscula Math. 31, no. 2 (2011), 279-288, http://dx.doi.org/10.7494/OpMath.2011.31.2.279

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