Huy Đức Nguyễn

collaborators

3 papers

math.DS2024

Existence of bounded asymptotic solutions of autonomous differential equations

Vu Trong Luong, William Barker, Nguyen Duc Huy +1

We study the existence of bounded asymptotic mild solutions to evolution equations of the form $u^{'} (t) = A u (t) + f (t), t \geq 0$ in a Banach space $\X$, where $A$ generates an (analytic)…

math.DS2024

A generation theorem for the perturbation of strongly continuous semigroups by unbounded operators

Xuan-Quang Bui, Nguyen Duc Huy, Vu Trong Luong +1

In this paper we study the well-posedness of the evolution equation of the form $u^{'} (t) = A u (t) + C u (t)$ , $t \geq 0$ , where $A$ is the generator of a $C_{0}$ - semigroup and $C$ is a (possib…

math.CA2023

Asymptotic periodic solutions of differential equations with infinite delay

Nguyen Duc Huy, Le Anh Minh, Vu trong Luong +1

In this paper, by using the spectral theory of functions and properties of evolution semigroups, we establish conditions on the existence, and uniqueness of asymptotic 1-periodic s…