1. Full name: Le Anh Tuan.                                 2. Sex: Male.

3. Date of birth: 05/24/1983.                               4. Place of birth: Son la.

5. Admission decision number: 741/QĐ-ĐHKHTN, Dated 14 September 2012 by President of Vietnam National University, Hanoi, Form of training is not focused, 3 year term (2012-2015)  and 3937/QĐ-SĐH, Dated 26 October 2012 by Rector of Hanoi University of Science on the recognition of doctoral thesis and staff instructions.

6. Changes in academic process: Decision 741/QĐ-ĐHKHTN, Dated 31 March 2016  by Rector of Hanoi University of Science on Extending 12 months from the deadline of Studying and Decision 1034/QĐ-ĐHKHTN, Dated 25 April 2017  by Rector of Hanoi University of Science on Extending 12 months from the deadline of Studying.

7. Official thesis title: Stability of stochastic dynamic equations on time scales.

8. Major: Probability Theory and Mathematical Statistics 9. Code: 62 46 15 01

10. Supervisors: PROF. DR. Nguyen Huu Du.

11. Summary of the new findings of the thesis

- Given the theorem  for existence and uniqueness of solutions for stochastic dynamic equations on time scales under  locally Lipschitz  condition.

-Estimating moments of solutions for stochastic dynamic equations.

- Constructed the Lyapunov function to evaluate the exponential -moment stability, stochastic stability and exponential almost sure stability of stochastic dynamic equations on time scales.

- Introduced concepts and theorems, examples of  exponential -moment stability, stochastic stability, exponential almost sure stability of stochastic dynamic equations on time scales.

- Defined delay function and stochastic dynamic delay equations on time scales.

- Given the theorems of existence and uniqueness of solutions for stochastic dynamic delay equations on time scales.

- Introduced concepts and theorems, examples of the exponential -moment stability,  exponential almost sure stability of stochastic dynamic delay equations on time scales.

12. Paratical applicability, if any: Stability of stochastic dynamic equations on time scales can be applied to practical problems such as control theory, game theory, probability theory, computer science, circuit theory, quantum theory, genetics, economics, psychology and sociology…

13. Further research directions, if any:

- We will give necessary conditions for the exponential p-moment stability, stochastic stability, exponential almost sure stability of  stochastic dynamic equations and stochastic dynamic delay equations on time scales.

- We will provides formulas to calculate the stable radius for stochastic dynamic equations on time scales.

- We will consider theorems of convergence on different time scales.

14. Thesis-related publications:

[1]  N. H. Du,   N. T.  Dieu and  L. A. Tuan (2015), “Exponential -stability of stochastic -dynamic equations on disconnected sets”,  Electron. J. Diff. Equ., 285, 1-23.

[2] L. A. Tuan, N. H. Du and   N. T.  Dieu (2017), “On the stability of stochastic dynamic equations on time scales”, Journal Acta Mathematica Vietnamica, (online), 1-14. DOI: 10.1007/s40306-017-0220-5.

 [3] N. H. Du.,  L. A. Tuan and   N. T.  Dieu (2017), “Stability of stochastic dynamic equations with time-varying delay on time scales”, it has been accepted  to Asian-European Journal of Mathematics.