On Nonuniform Polynomial Stability for Evolution Operators on the Half-line

Abstract

The main aim of this paper is to study a concept of nonuniform polynomial stability for evolution operators on
the half-line. The obtained results are variants for nonuniform polynomial stability of some well-known theorems due
to Barbashin, Datko, Rolewicz and Zabczyk in the case of uniform exponential stability. This paper generalizes wellknown
results for the nonuniform exponential stability (Lupa & Megan, 2012) and the uniform polynomial stability
(Megan & Ceausu, 2012).