M. Nguyen

activity

20192024

collaborators

4 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.DS2023

Roughness of exponential dichotomy under unbounded perturbation in linear partial functional differential equations

Xuan-Quang Bui, Nguyen Van Minh

This paper is concerned with the roughness of exponential dichotomies under unbounded perturbations of a class of linear partial functional differential equations \begin{equation}\…

math.DS2019

Asymptotic Behavior of Polynomially Bounded Solutions of Linear Fractional Differential Equations

Nguyen Van Minh, Vu Trong Luong

In this paper we study the asymptotic behavior of solutions of fractional differential equations of the form $D_{C}^{α} u (t) = A u (t) + f (t)$ on the half line, where $D_{C}^{α} u (t)$ is the deriv…