| Autor: |
Penghui Lv, Yuxiao Cun, Guoguang Lin |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Results in Applied Mathematics, Vol 24, Iss , Pp 100498- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2590-0374 |
| DOI: |
10.1016/j.rinam.2024.100498 |
| Popis: |
This paper delves into the stochastic asymptotic behavior of a non-autonomous stochastic higher-order Kirchhoff equation with variable coefficient rotational inertia. The equation is solved using the Galerkin method, and a stochastic dynamical system is established on this basis. Uniform estimation demonstrates a family of Dk−absorbing sets in the stochastic dynamical system Φk, and the asymptotic compactness of Φk is proved via decomposition. Finally, the family of Dk−random attractors is acquired for the stochastic dynamical system Φk in Vm+k(Ω)×Vm+kb0(Ω). These results improve and extend those in recent literature (Lv et al., 2021). The findings promote the relevant conclusions of the non-autonomous stochastic higher-order Kirchhoff model and provide a theoretical basis for its subsequent application and research. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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