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Browsing by Subject "exponential instability"

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    Item type:Article, Access status: Open Access ,
    Datko-type theorems concerning asymptotic behaviour of exponential type in mean
    (Wydawnictwa AGH, 2025) Hai, Pham Viet
    In this paper, we study the concept of exponential (in)stability in mean for stochastic skew-evolution semiflows, in which the exponential (in)stability in the classical sense is replaced by an average with respect to a probability measure. Our paper consists of three major results. The first is to obtain Datko-type characterizations for the exponential stability in mean of stochastic skew-evolution semiflows. Next, we acquire Datko-type characterizations for the exponential instability in mean by extending the stability techniques. The last is to extend Lyapunov-type equations to the case of exponential (in)stability in mean.