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• On the well-posedness of linear evolution equations under unbounded nonautonomous perturbations. (with X-Q Bui, Vu Trong Luong).
  https://arxiv.org/abs/2604.16798
   

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

• Perron Theorem and Monotone Iteration Method in proving the existence of traveling waves in reaction-diffusion equations with delays:
  
  See our series of papers, preprints 
  See also: this link to my former PhD student's website.
   

• Traveling waves in reaction-diffusion equations with delay in the diffusion term (with W. Barker). Nonlinear Analysis Vol. 271, October 2026, 114125. Open access published April 20, 2026.
   

• Asymptotic Behavior of Evolution Equations via Spectral Theory of Functions on the Half Line, Sums of Commuting Operators and Evolution Semigroups (with VT Luong). Vietnam J. Mathematics. Open access Published: 26 July 2025.
   

•  Existence of bounded asymptotic solutions of autonomous differential  equations. (with VT Luong, W. Barker, ND Huy).
  Journal of Differential Equations, vol. 434, July 2025, 113320.
  Open Access published July 2025.
   

• A Generation Theorem for the Perturbation of Strongly Continuous Semigroups by Unbounded Operators. (with XQ Bui, VT Luong, ND Huy).
  Journal of Differential Equations, vol 422 (2025), p. 489-499. 
   

• 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.
   

• 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.

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