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Recent Publications & Preprints

Existence of bounded asymptotic solutions of autonomous differential
equations. (with VT Luong, W. Barker, ND Huy). https://arxiv.org/abs/2409.12885
A Generation Theorem for the Perturbation of Strongly Continuous Semigroups by Unbounded Operators. (with XQ Bui, VT Luong, ND Huy). https://arxiv.org/abs/2405.06812
Unbounded Perturbation of Linear Partial Functional Differential Equations via Yosida Distance. (with XQ Bui). https://arxiv.org/abs/2310.04873
Traveling waves in reaction-diffusion equations with delay in both diffusion and reaction terms. (with W. Barker). https://arxiv.org/abs/2301.11504
Stability radius and dichotomy radius of infinite-dimensional linear systems under unbounded perturbations via Yosida distance. (with Xuan-Quang Bui, D.D. Thuan)
System & Control Letters. Volume 193, November 2024, 105929.
https://doi.org/10.1016/j.sysconle.2024.105929.
Free download (before 11/3/24): https://authors.elsevier.com/c/1jmVac8EXuCry
Yosida Distance and Existence of Invariant Manifolds in the Infinite-Dimensional Dynamical Systems. (with XQ Bui). Proceedings of the A.M.S., 152 (2024), p. 4285-4300.
Kadets Type and Loomis Type Theorems for Asymptotically Almost Periodic Functions (with Hui-Sheng Ding, Wei-Gang Jian, Gaston M. Nguerekata)
Journal of Differential Equations. 373 (2023), 389-410.
On asymptotic periodic solutions of fractional differential equations and applications. (with VT Luong, ND Huy, NN Vien).
Proceedings of the A.M.S. v. 151 (2023), p.5299-5312.
A Massera Theorem for Asymptotic Periodic Solutions of Periodic Evolution Equations. (with VT Luong, DV Loi and H. Matsunaga)
Journal of Differential Equations, v. 329 (2022) 371–394.
A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems. (With VT Luong, ND Huy and Matsunaga)
Funkcial. Ekvac. 65 (2022), 261-285.
A Katznelson-Tzafriri type theorem for difference equations and applications. (With VT Luong, ND Huy and Matsunaga)
Proceedings of the A.M.S. 150 (2022), 1105-1114.
Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half line. (With VT Luong and NH Tri)
Journal of Differential Equations, v. 296 (2021) 1–14.

Recent Publications & Preprints

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Existence of bounded asymptotic solutions of autonomous differential equations. (with VT Luong, W. Barker, ND Huy). https://arxiv.org/abs/2409.12885

A Generation Theorem for the Perturbation of Strongly Continuous Semigroups by Unbounded Operators. (with XQ Bui, VT Luong, ND Huy). https://arxiv.org/abs/2405.06812

Unbounded Perturbation of Linear Partial Functional Differential Equations via Yosida Distance. (with XQ Bui). https://arxiv.org/abs/2310.04873

Traveling waves in reaction-diffusion equations with delay in both diffusion and reaction terms. (with W. Barker). https://arxiv.org/abs/2301.11504

Yosida Distance and Existence of Invariant Manifolds in the Infinite-Dimensional Dynamical Systems. (with XQ Bui). Proceedings of the A.M.S., 152 (2024), p. 4285-4300.

Kadets Type and Loomis Type Theorems for Asymptotically Almost Periodic Functions (with Hui-Sheng Ding, Wei-Gang Jian, Gaston M. Nguerekata) Journal of Differential Equations. 373 (2023), 389-410.

On asymptotic periodic solutions of fractional differential equations and applications. (with VT Luong, ND Huy, NN Vien). Proceedings of the A.M.S. v. 151 (2023), p.5299-5312.

A Massera Theorem for Asymptotic Periodic Solutions of Periodic Evolution Equations. ​(with VT Luong, DV Loi and H. Matsunaga) Journal of Differential Equations, v. 329 (2022) 371–394.

A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems. (With VT Luong, ND Huy and Matsunaga) Funkcial. Ekvac. 65 (2022), 261-285.

A Katznelson-Tzafriri type theorem for difference equations and applications. (With VT Luong, ND Huy and Matsunaga) Proceedings of the A.M.S. 150 (2022), 1105-1114.

Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half line. (With VT Luong and NH Tri) Journal of Differential Equations, v. 296 (2021) 1–14.

​

Existence of bounded asymptotic solutions of autonomous differential
equations. (with VT Luong, W. Barker, ND Huy). https://arxiv.org/abs/2409.12885

Kadets Type and Loomis Type Theorems for Asymptotically Almost Periodic Functions (with Hui-Sheng Ding, Wei-Gang Jian, Gaston M. Nguerekata)
Journal of Differential Equations. 373 (2023), 389-410.

On asymptotic periodic solutions of fractional differential equations and applications. (with VT Luong, ND Huy, NN Vien).
Proceedings of the A.M.S. v. 151 (2023), p.5299-5312.

A Massera Theorem for Asymptotic Periodic Solutions of Periodic Evolution Equations. (with VT Luong, DV Loi and H. Matsunaga)
Journal of Differential Equations, v. 329 (2022) 371–394.

A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems. (With VT Luong, ND Huy and Matsunaga)
Funkcial. Ekvac. 65 (2022), 261-285.

A Katznelson-Tzafriri type theorem for difference equations and applications. (With VT Luong, ND Huy and Matsunaga)
Proceedings of the A.M.S. 150 (2022), 1105-1114.

Asymptotic Behavior of Solutions of periodic linear partial functional differential equations on the half line. (With VT Luong and NH Tri)
Journal of Differential Equations, v. 296 (2021) 1–14.