Nguyễn Văn Minh
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Professor
Research Areas
Biomedical Subjects
Links
Biography and Research Information
OverviewAI-generated summary
Nguyễn Văn Minh's research focuses on the theoretical aspects of evolution equations and their applications to differential equations. His work investigates the stability, expansiveness, and dichotomy of these equations, particularly on the half-line and in the context of periodic and functional differential equations. He has explored concepts such as spectral dichotomy and invariant manifolds, contributing to the understanding of the behavior of solutions to complex dynamical systems.
His publications include studies on almost automorphic solutions, Massera's theorem for functional differential equations, and characterizations of dichotomies. Minh's research group at the University of Arkansas at Little Rock is active, as indicated by his recent publications and a substantial number of total publications (175) and citations (1,726), with an h-index of 22.
He has a history of collaboration with William H. Barker, with whom he has co-authored five publications. Minh is recognized as a highly cited researcher.
Metrics
- h-index: 22
- Publications: 175
- Citations: 1,726
Positions
-
Professor 2025–presentUniversity of Arkansas at Little Rock Mathematics and Statistics ORCID
Selected Publications
-
Asymptotic Behavior of Evolution Equations via Spectral Theory of Functions on the Half Line, Sums of Commuting Operators and Evolution Semigroups (2025)
-
Monotone traveling wave solutions of Mackey–Glass reaction diffusion equation with delayed diffusion term (2025)
-
Existence of bounded asymptotic solutions of autonomous differential equations (2025)
-
Traveling waves for nonlocal Fisher–KPP equations with diffusive delay (2025)
-
A generation theorem for the perturbation of strongly continuous semigroups by unbounded operators (2025)
-
Stability radius and dichotomy radius of infinite-dimensional linear systems under unbounded perturbations via Yosida distance (2024)
-
Kadets type and Loomis type theorems for asymptotically almost periodic functions (2023)
-
On asymptotic periodic solutions of fractional differential equations and applications (2023)
-
A Massera theorem for asymptotic periodic solutions of periodic evolution equations (2022)
-
A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems (2022)
-
A Katznelson-Tzafriri type theorem for difference equations and applications (2021)
-
A simple spectral theory of polynomially bounded solutions and applications to differential equations (2021)
-
Asymptotic behavior of solutions of periodic linear partial functional differential equations on the half line (2021)
-
Almost periodic solutions of periodic second order linear evolution equations (2020)
Collaboration Network
Top Collaborators
- A Massera theorem for asymptotic periodic solutions of periodic evolution equations
- A simple spectral theory of polynomially bounded solutions and applications to differential equations
- A Katznelson-Tzafriri type theorem for difference equations and applications
- A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems
- On asymptotic periodic solutions of fractional differential equations and applications
Showing 5 of 11 shared publications
- A Massera theorem for asymptotic periodic solutions of periodic evolution equations
- A Katznelson-Tzafriri type theorem for difference equations and applications
- A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems
- Traveling waves for nonlocal Fisher–KPP equations with diffusive delay
- Existence of bounded asymptotic solutions of autonomous differential equations
- Monotone traveling wave solutions of Mackey–Glass reaction diffusion equation with delayed diffusion term
- Asymptotic Behavior of Linear Almost Periodic Differential Equations
- Almost periodic solutions of periodic second order linear evolution equations
- Almost periodic solutions of periodic second order linear evolution equations
- Asymptotic behavior of solutions of periodic linear partial functional differential equations on the half line
- A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems
- Existence of bounded asymptotic solutions of autonomous differential equations
- A generation theorem for the perturbation of strongly continuous semigroups by unbounded operators
- Stability radius and dichotomy radius of infinite-dimensional linear systems under unbounded perturbations via Yosida distance
- Traveling waves for nonlocal Fisher–KPP equations with diffusive delay
- Monotone traveling wave solutions of Mackey–Glass reaction diffusion equation with delayed diffusion term
- Asymptotic Behavior of Linear Almost Periodic Differential Equations
- Asymptotic Behavior of Linear Almost Periodic Differential Equations
- Monotone traveling waves in a general discrete model for populations
- A Katznelson-Tzafriri type theorem for difference equations and applications
- A Massera theorem for asymptotic periodic solutions of periodic evolution equations
- On asymptotic periodic solutions of fractional differential equations and applications
- On asymptotic periodic solutions of fractional differential equations and applications