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 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…
On asymptotic properties of solutions to fractional differential equations
N. D. Cong, H. T. Tuan, Hieu Trinh
We present some distinct asymptotic properties of solutions to Caputo fractional differential equations (FDEs). First, we show that the non-trivial solutions to a FDE can not conve…
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…
On stable manifolds for fractional differential equations in high dimensional spaces
Nguyen Dinh Cong, Doan Thai Son, Stefan Siegmund +1
Our aim in this paper is to establish stable manifolds near hyperbolic equilibria of fractional differential equations in arbitrary finite dimensional spaces.