Asymptotic stability for stochastic dissipative systems with a H\'older noise

التفاصيل البيبلوغرافية
العنوان: Asymptotic stability for stochastic dissipative systems with a H\'older noise
المؤلفون: Duc, Luu Hoang, Hong, Phan Thanh, Cong, Nguyen Dinh
سنة النشر: 2018
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Probability
الوصف: We prove the exponential stability of the zero solution of a stochastic differential equation with a H\"older noise, under the strong dissipativity assumption. As a result, we also prove that there exists a random pullback attractor for a stochastic system under a multiplicative fractional Brownian noise.
Comment: 24 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1812.04556
رقم الأكسشن: edsarx.1812.04556
قاعدة البيانات: arXiv