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ON EXPONENTIAL STABILITY OF VARIATIONAL NONAUTONOMOUS DIFFERENCE EQUATIONS IN BANACH SPACES

Keywords: variational difference equations , discrete skew-evolution semi- flows , exponential stability

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Abstract:

In this paper we study two concepts of exponential stability for vari-ational nonautonomous dierence equations in Banach spaces. Char-acterizations of these concepts are given. The obtained results can beconsidered as generalizations for variational nonautonomous dierenceequations of some well-known theorems due to Barbashin and Datko .

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