Datko-type theorems concerning asymptotic behaviour of exponential type in mean

• Autorzy: Hai Pham Viet

Identyfikatory

DOI

10.7494/OpMath.2025.45.4.451

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

exponential stability; exponential instability; stochastic skew-evolution semiflows; Datko’s theorem; Banach function space

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2025
• Tom: Vol. 45, no. 4
• Strony: 451--470
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Hai Pham Viet

• Faculty of Mathematics and Informatics, Hanoi University of Science and Technology, 1 Dai Co Viet, Hanoi, Vietnam

• https://orcid.org/0000-0001-9993-4070

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)