Global attracting set of stochastic differential equations with unbounded delay driven by fractional Ornstein-Uhlenbeck process (Q6554578)
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scientific article; zbMATH DE number 7864360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global attracting set of stochastic differential equations with unbounded delay driven by fractional Ornstein-Uhlenbeck process |
scientific article; zbMATH DE number 7864360 |
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Global attracting set of stochastic differential equations with unbounded delay driven by fractional Ornstein-Uhlenbeck process (English)
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12 June 2024
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The authors study the existence and uniqueness of mild solutions to stochastic evolution equations with unbounded delay, which is perturbed by fractional Ornstein-Uhlenbeck process with Hurst parameter \(H\in (1/2, 1)\). Moreover, they also obtain the global attracting set of the equations.
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stochastic evolution equation
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fractional Ornstein-Uhlenbeck process
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global attracting set
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quasi-invariant sets
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