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• 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 
   

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

•  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.
  Free download until June 30 2025
  Preprint. 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).
  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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