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math.PR2018
Asymptotic stability for stochastic dissipative systems with a Hölder noise
Luu Hoang Duc, Phan Thanh Hong, Nguyen Dinh Cong
We prove the exponential stability of the zero solution of a stochastic differential equation with a Hölder noise, under the strong dissipativity assumption. As a result, we also p…
math.PR2017
Nonautonomous Young differential equations revisited
Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong
In this paper we prove that under weak conditions a nonautonomous Young differential equation possesses a unique solution which depends continuously on initial conditions. The proo…