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Glasnik matematički, Vol. 59 No. 1, 2024.

Original scientific paper

https://doi.org/10.3336/gm.59.1.05

On uniform instability in mean of stochastic skew-evolution semiflows

Tian Yue orcid id orcid.org/0000-0003-2811-9444 ; School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, 442002 Shiyan, China

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Abstract

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.

Keywords

Stochastic skew-evolution semiflows, uniform exponential instability in mean, uniform polynomial instability in mean, uniform \(h\)-instability in mean

Hrčak ID:

318143

URI

https://hrcak.srce.hr/318143

Publication date:

30.6.2024.

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Publication date: 20 June 2024

Volume: Vol 59

Issue: Svezak 1

Pages: 107-123

DOI: 10.3336/gm.59.1.05

Article Information (continued)

Categories:

Subject: Izvorni znanstveni članak

Keywords:

Keyword: Stochastic skew-evolution semiflows, uniform exponential instability in mean, uniform polynomial instability in mean, uniform \(h\)-instability in mean

On uniform instability in mean of stochastic skew-evolution semiflows

Tian Yue[1]

Email: yuet@huat.edu.cn

 

[1] School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, 442002 Shiyan, China

Abstract

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.

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