5 papers
Pullback attractors for stochastic Young differential delay equations
Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong
We study the asymptotic dynamics of stochastic Young differential delay equations under the regular assumptions on Lipschitz continuity of the coefficient functions. Our main resul…
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…
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…
Young differential delay equations driven by Hölder continuous paths
Luu Hoang Duc, Phan Thanh Hong
In this paper we prove the existence and uniqueness of the solution of Young differential delay equations under weaker conditions than it is known in the literature. We also prove…
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…