M. Nguyen

activity

20102024

most citedOn asymptotic periodic solutions of fractional differential equations and applications

2 citations · 6 across the 11 of their papers we have counts for

collaborators

11 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.CA2023★ 2 cited

On asymptotic periodic solutions of fractional differential equations and applications

Vu Trong Luong, Nguyen Duc Huy, Nguyen Van Minh +1

In this paper we study the asymptotic behavior of solutions of fractional differential equations of the form $D_{C}^{α} u (t) = A u (t) + f (t), u (0) = x, 0 < α \leq 1, (*)$ where $D_{C}^{α} u (t)$ is th…

math.DS2023

Yosida Distance and Existence of Invariant Manifolds in the Infinite-Dimensional Dynamical Systems

Xuan-Quang Bui, Nguyen Van Minh

We introduce a new concept of Yosida distance between two (unbounded) linear operators $A$ and $B$ in a Banach space $X$ defined as $d_Y(A,B):=\limsup_{μ\to +\infty} \| A_…

math.DS2023★ 1 cited

Traveling waves in reaction-diffusion equations with delay in both diffusion and reaction terms

William Barker, Nguyen Van Minh

We study the existence of traveling waves of reaction-diffusion systems with delays in both diffusion and reaction terms of the form $\partial u(x,t)/\partial t = Δu(x,t-τ_1)+f(u(x…

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…

math.DS2012

Asymptotic Behavior of Linear Almost Periodic Differential Equations

Bui Xuan Dieu, Luu Hoang Duc, Stefan Siegmund +1

The present paper is concerned with strong stability of solutions of non-autonomous equations of the form $u ˙ (t) = A (t) u (t)$ , where $A (t)$ is an unbounded operator in a Banach sp…

math.DS2012★ 1 cited

Geometry of integrable dynamical systems on 2-dimensional surfaces

Nguyen Tien Zung, Nguyen Van Minh

This paper is devoted to the problem of classification, up to smooth isomorphisms or up to orbital equivalence, of smooth integrable vector fields on 2-dimensional surfaces, under…

math.DS2012★ 2 cited

Geometry of nondegenerate $R^{n}$ -actions on $n$ -manifolds

Nguyen Tien Zung, Nguyen Van Minh

This paper is devoted to a systematic study of the geometry of nondegenerate $R^{n}$ -actions on $n$ -manifolds. The motivations for this study come from both dynamics, where these…

math.DS2010

On the Asymptotic Behavior of Volterra Difference Equations

Nguyen Van Minh

We consider the asymptotic behavior of solutions of the difference equations of the form $x (n + 1) = A x (n) + \sum_{k = 0}^{n} B (n - k) x (k) + y (n)$ in a Banach space $\X$, where $n = 0, 1, 2, ...$ …