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math.PR2019
Asymptotic stability of controlled differential equations. Part I: Young integrals
Luu Hoang Duc, Phan Thanh Hong
We provide a unified analytic approach to study stationary states of controlled differential equations driven by rough paths, using the framework of random dynamical systems and ra…
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…