Invariant measures and random attractors of stochastic delay differential equations in Hilbert space
This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also obtain the existence of a pullback attractor under...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - késleltetett, Hilbert-tér |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.56 |
| Online Access: | http://acta.bibl.u-szeged.hu/78341 |
| LEADER | 01468nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta78341 | ||
| 005 | 20230313114505.0 | ||
| 008 | 230313s2022 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2022.1.56 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Li Shangzhi | |
| 245 | 1 | 0 | |a Invariant measures and random attractors of stochastic delay differential equations in Hilbert space |h [elektronikus dokumentum] / |c Li Shangzhi |
| 260 | |c 2022 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also obtain the existence of a pullback attractor under Wiener process. In particular, we prove the existence of a non-trivial stationary solution which is exponentially stable and is generated by the composition of a random variable and the Wiener shift. At last, examples of reaction-diffusion equations with delay and noise are provided to illustrate our results. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet - késleltetett, Hilbert-tér | ||
| 700 | 0 | 1 | |a Guo Shangjiang |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/78341/1/ejqtde_2022_056.pdf |z Dokumentum-elérés |