Publication date: 20 June 2024
Volume: Vol 59
Issue: Svezak 1
Pages: 107-123
DOI: 10.3336/gm.59.1.05
Izvorni znanstveni članak
https://doi.org/10.3336/gm.59.1.05
On uniform instability in mean of stochastic skew-evolution semiflows
Tian Yue
orcid.org/0000-0003-2811-9444
; School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, 442002 Shiyan, China
In this paper we study three concepts of uniform instability in mean for stochastic skew-evolution semiflows: uniform exponential instability in mean, uniform polynomial instability in mean and uniform \(h\)-instability in mean. These concepts are natural generalizations from the deterministic case. Connections between these concepts are presented. Additionally, some expansion properties, logarithmic criteria and majorization criteria of these concepts are given, respectively.
318143
28.11.2024.
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