V. Luong

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20182020

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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.DS2020

A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems

Nguyen Van Minh, Hideaki Matsunaga, Nguyen Duc Huy +1

In this paper using a transform defined by the translation operator we introduce the concept of spectrum of sequences that are bounded by $n^{ν}$ , where $ν$ is a natural number. We a…

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.DS2018

Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half line

Vu Trong Luong, Nguyen Huu Tri, Nguyen Van Minh

We study conditions for the abstract linear functional differential equation $x ˙ = A x + F (t) x_{t} + f (t), t \geq 0$ to have asymptotic almost periodic solutions, where $F (\cdot)$ is pe…