Research

Current Research Interests 

Publications
Nguyen, T.  Lan, Buse, C.; Lassoued, D. and Saierli, O.: Exponential stability and 
uniform boundedness of solutions for nonautonomous periodic abstract Cauchy problems. An evolution semigroup approach. Integral Equations and Operator Theory, 74 (2012), no. 3, 345–362.
Nguyen, T.  Lan: On the periodic mild solutions to complete higher order differential equations on Banach spaces. Surveys in Mathematics and its Applications 6 (2011), 23–41.
Nguyen, T.  Lan: Almost periodic solutions of higher order differential equations on Hilbert spaces. Elec. Journal Differential Equations, 2010, No. 72, pp. 1-12.
Nguyen, T. Lan : On the almost periodic solutions of differential equations on Hilbert spaces.  Inter. Journal of Differential. Equations. 2009, ID 575939, pp 1-11.

Nguyen, T. Lan: On the periodic solutions of complete second order differential equations on Hilbert spaces. East-West Journal Mathematics Vol. 9, No 1 (2007) pp. 11-24.

       Nguyen, T. Lan: A note on almost periodic solutions of semilinear equations in Banach spaces. Elec. Journal Differential Equations, Vol. 2006 (2006), No. 123, pp. 1-5.

Nguyen, T. Lan: Operator equation AX - BXD = C and degenerate differential equations in Banach spaces. Int. Journal of Pure and Applied Mathematics 24 (2005), No. 3, pp 383-403.

Nguyen, T. Lan: Fourier series and periodic solutions of differential equations.

Communication Applied Analysis. Vol. 8, No. 3 (2004), pp 293-304.

Nguyen, T. Lan: Periodicity of mild solutions to higher order differential equations in Banach spaces.  Elec. Journal Differential Equations, No. 79 (2004), pp 1-12.

Nguyen, T. Lan: On the mild solution of abstract higher order differential equations. Abstract and Applied Analysis. No. 15 (2003), pp 865-880.

Nguyen, T. Lan: On the non-autonomous higher-order Cauchy problems. Differential and Integral Equations 14 (2001), No. 2,  pp 241-2560.

Nguyen, T. Lan: On the operator equation AX - XB = C with unbounded operators A, B and C. Abstract and Applied Analysis, 6 (2001), No. 6, pp 317-328.

Nguyen, T. Lan: On non-autonomous Cauchy problems with operator matrices. East-West Journal of Mathematics, Vol. 3, No. 1 (2001), pp 1-9.

Nguyen, T. Lan: On non-autonomous second order differential equations on Banach space. Inter. Journal of Mathematics and Mathematical Science, 26 (2001), No. 1, pp 145-154.

Nguyen, T. Lan: On non-autonomous functional-differential equations. Journal of Mathematical Analysis and Applications 239 (1999), No. 1, pp 158-174.

Nguyen, T. Lan: On the well-posedness of non-autonomous second order Cauchy problems. East-West Journal of Mathematics, Vol. 1, No. 2 (1999), pp 131-146.

Nguyen, T. Lan and Nickel, G. Time-dependent operator matrices and inhomogeneous

Cauchy problems. Rendiconti del Circolo Matematico di Palermo. (2) 47 (1998), No. 1, pp 5-24.

 

Accepted Papers

             Nguyen, T. Lan; Buse, C.; Khan, A. and Rahmat, G.: Asymptotic Stability, Backward 
                      Trajectories and Approximated Admissibility for Discrete Nonautonomous 
          System via Discrete Evolution Semigroups. Accepted to be published in 
          Mathematical Analysis - The Scientific World Journal.
 
Submitted Papers
Nguyen, T.  Lan, Iraniparast N.: D'alembert Formula and the Periodic Mild Solutions to 
Iterated Higher Order Differential Equations on Hilbert Space. Submitted to Nonlinear Analysis and Differential Equations.
Nguyen, T.  Lan, Iraniparast, N.: On the Regularity of Mild Solutions to Complete, Higher Order Differential Equations in Banach Space, Submitted to Survey in Mathematics and its Application.
 
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