Open AccessOn Barreira-Valls polynomial stability of evolution operators in Banach spaces
Author(s) -
Mihail Megan,
Traian Ceauşu,
Andrea Amalia Minda
Publication year - 2011
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2011.1.33
Subject(s) - mathematics , banach space , polynomial , stability (learning theory) , pure mathematics , mathematical analysis , computer science , machine learning
Our main objective is to consider a concept of nonuniform behavior and obtain appropriate versions of the well-known stability due to R. Datko and L. Barbashin. This concept has been considered in the works of L. Barreira and C. Valls. Our approach is based on the extension of techniques for exponential stability to the case of polynomial stability.
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