On Uniform h-stability of Non-autonomous Evolution Equations in Banach Spaces

This manuscript focuses on a class of stochastic functional differential equations driven by time-changed Brownian motion. By utilizing the Lyapunov method, we capture some sufficient conditions to ensure that the solution for the considered equation is η-stable in the pth moment sense. Subsequently, we present some new criteria of the η-stability in mean square by using time-changed Itô formula and proof by contradiction. Finally, we provide some examples to demonstrate the effectiveness of our main results.

show abstract

On uniform instability in mean of stochastic skew-evolution semiflows

Yue

2024

Glas. Mat. Ser. III

View full text Add to dashboard Cite

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.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On Uniform h-stability of Non-autonomous Evolution Equations in Banach Spaces

Cited by 4 publications

References 15 publications

Observers Based Control for Stabilization of Non-autonomous Evolution Equations in Banach Spaces

Observers Based Control for Stabilization of Non-autonomous Evolution Equations in Banach Spaces

η-Stability for stochastic functional differential equation driven by time-changed Brownian motion

On uniform instability in mean of stochastic skew-evolution semiflows

Contact Info

Product

Resources

About