Curriculum Vitae

 

 

Dr. Van Minh Nguyen
(Name appearing in publications is NGUYEN VAN MINH)

Office: Boyd Building Room 319

Phone: (678) 839-4130

 

Education

 

Date

Degree

Institution/ Title of thesis

12/1993

Doctor of Sciences

Institute of Mathematics, Ukrainian Academy of Sciences,

 

Employment History

 

 

Date

Position

Institution

8/2006-present

Associate professor (tenured)

University of West Georgia, Georgia

8/04-7/2006

Assistant professor

University of West Georgia, Georgia

8/03 – 7/04

Visiting associate professor

James Madison University, Virginia

1/02-3/02

Visiting professor

York University, Toronto, Canada

4/00-3/01

Visiting associate professor

The University of Electro Communications,

Tokyo, Japan

9/97-8/99

Research fellow of the Japan Society for the Promotion of Science

The University of Electro Communications,

Tokyo, Japan

2/97-6/97

Visiting professor

Ohio University, Ohio

11/95-1/97

Research fellow of the Alexander von Humboldt Foundation

Universities Augsburg and University of Tubingen, Germany.

11/93-12/94

Researcher

Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow, Russia

 

Current Research Interests

 

Ø      Semigroups of operators, spectral theory of functions and applications to the study of the asymptotic behavior of solutions of differential equations

Ø     Infinite dimensional dynamical systems and applications to biology and industry.

 

 

 

Research Awards

 

Ø      Fellowship of the Alexander von Humboldt Foundation (Germany), (11/1995-1/1997)

Ø      Fellowship of the Japan Society for the Promotion of Science (Japan), (9/1997-8/1999)

Ø     Associate membership of the International Centre for Theoretical Physics (UNESCO), (2001-2006).

Ø     Guest professorship at the Beijing Normal University (6/2006-5/2009)

 

Teaching Experience

 

-         Introductory Calculus, Calculus, Modern Calculus

-         Theory of Ordinary Differential Equations

-         Introduction to Functional Differential Equations

-         Theory of Stability and Almost Periodicity of Solutions of Differential Equations.

-         Functional Analysis

-         Introduction to Operator Theory

-         Introduction to Differentiable Dynamical Systems.

 

Supervising PhD and Graduate students

 

¨ Graduate students:  10

¨ PhD students:

                        · Man M. Nguyen (thesis was defended in 2003)

                        · Takeshi Nishikawa (thesis was defended in 2005)

 

Proficiencies of Foreign Languages

 

¨ English, French, Russian: fluently spoken, written

¨ Japanese, German: spoken.

 

Other Professional Activities

¨I serve as a managing editor of

-         International Journal of Evolution Equations

¨I have refereed articles for

-         The Proceedings of the American Mathematical Society

-         Integral Equations and Operator Theory

-         Journal of Mathematical Analysis and Applications,

-         Discrete and Continuous Dynamical Systems,

-         Funkcialaj Ekvacioj,

-         Applied Mathematics Letters

-         Computer and Applications of Mathematics

-         The Proceedings of the Royal Society of Edinburgh, Section A.

 

¨I took part and gave talks at the following conferences and workshops:

 

-         The Spring Meeting of the AMS at the University of Delaware (4/2005)

-         International conference on differential equations, approximation and applications, (Hanoi, 12/2001).

-         Workshop on functional differential equations in the Research Institute for Mathematical Sciences, Kyoto, Japan (11/2000).

-         The first International Conference on Semigroups of Operators: Theory and Applications, (Newport Beach, California, USA, 12/1998).

-         Workshop on functional differential equations in the Research Institute for Mathematical Sciences, Kyoto, Japan (11/1998)

-         Workshop on functional differential equations in the Research Institute for Mathematical Sciences, Kyoto, Japan (11/1997)

-         The 2nd World Congress of Nonlinear Analysists (Greece, 1996). Colloquium  on  Differential  Equations  (Bulgaria, 1991).

-         Colloquium on Qualitative  Theory  of  Differential Equations (Hungary, 1988).

 

and at many other colloquia at the departments of mathematics of universities in Japan, Germany, Russia, Taiwan.

 

 

Publications

 

I have published one monograph and about 80 publications in refereed international journals and proceedings of conferences.

 

 

Monograph

 

 

  1. Y. Hino, T. Naito, Nguyen Van Minh and J.S. Shin, "Almost Periodic Solutions of Differential Equations in Banach Spaces", Taylor and Francis Group, London-New York, 2002.

Refereed Papers

  1. Nguyen Van Minh; Toshiki Naito; Gaston Nguerekata, A spectral countability condition for almost automorphy of solutions of differential equations, Proc. Amer. Math. Soc. 134 (2006), 3257-3266.

 

  1. Ezzinbi, Khalil; Liu, James H.; Minh, Nguyen Van Periodic solutions in fading memory spaces. Discrete Contin. Dyn. Syst. 2005, suppl., 250--257.
  2. G. Nguerekata, J. Liu, Nguyen Van Minh, Almost Automorphic Solutions of Second Order Evolution Equations. Applicable Analysis, 84 (2005), 1173-1184.
  3. Du Duc Thang, Nguyen Van Minh, Invariant manifolds of fully nonlinear evolution equations, Intern. J.  of Evolution Equations, 1 (2005), 81-90.
  4. T. Nishikawa, Nguyen Van Minh, T. Naito, Massera criterion for abstract functional differential equations with advance and delay. Applicable Analysis. 83 (2004), 1171--1185.
  5. T. Nishikawa, Nguyen Van Minh, T. Naito, On the asymptotic periodic solutions of abstract functional differential equations. Funkcialaj Ekvacioj. 47(2004), 307-327.
  6. Nguyen Van Minh, Ha Binh Minh, A Massera type criterion  for almost periodic solutions of higher order delay or advance abstract functional differential equations. Abstract and Applied Analysis. Vol. 2004 (2004), N. 10, 881-896.
  7. Jung-Cheng Chen, Nguyen Van Minh, Sen-Yen Shaw, C-Semigroups and Almost Periodic Solutions of Evolution Equations. Journal of Mathematical Analysis and Applications  298 (2004), 432-445.
  8. G. Nguerekata, J. Liu, Nguyen Van Minh, A Massera Type Theorem for Almost Automorphic Solutions of Differential Equations. Journal of Mathematical Analysis and Applications. 299 (2004), 587-599.
  9. K. Ezzinbi, T. Naito, Nguyen Van Minh, J. Liu, Periodic solutions of evolution equations. Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 11 (2004), 601--613.
  10. Nguyen Van Minh, Nguyen Minh Man, Massera criterion for almost periodic solutions of neutral functional differential equations, Differential Equations and Dynamical Systems. 11 (2003),  209—223.
  11. T. Diagana, G. Nguerekata, Nguyen Van Minh, Almost Automorphic Solutions of Evolution Equations, Proceeding of the American Mathematical Society. 132 (2004), 3289-3298.
  12. Nguyen Minh Man, Nguyen Van Minh, On the existence of quasi periodic and almost periodic solutions of neutral functional differential equations,  Communications in Pure and Applied Analysis. 3 (2004), 291--300.
  13. Nguyen Van Minh, J. Wu, Invariant Manifolds of Partial Functional Differential Equations, Journal of Differential Equations 198 (2004), 381-421.
  14. T. Naito, Nguyen Van Minh, J. Liu, On the bounded solutions of Volterra equations, Applicable Analysis, 83 (2004), N.5, 433–446.
  15. Nguyen Van Minh, Tong Thanh Trung, On the asymptotic behavior of inhomogeneous age-structured population, Journal of Applications of Mathematics, 1 (2003). (In Vietnamese).
  16. S. Murakami, T. Naito, Nguyen Van Minh, Massera Theorem for almost periodic solutions of functional differential equations,  Journal of the Mathematical  Society of Japan, 56 (2004), N.1., 247-268.
  17. J. Liu, T. Naito and Nguyen Van Minh Bounded and periodic solutions of infinite delay evolution equations, Journal of Mathematical Analysis and Applications, 286 (2003), 705-712.
  18. Y. Hino, S. Murakami, Nguyen Van Minh, Decomposition of variation of constant formula for abstract functional differential equations,  Funkcialaj Ekvacioj 45 (2002), 341-372.
  19. T. Naito, Nguyen Van Minh, J.S. Shin,A Massera type theorem for functional differential equations with infinite delay,   Japanese Journal of Mathematics, 28  (2002), N. 1,  31-49.
  20. T. Naito, Nguyen Van Minh, J. S. Shin, Spectrum and (almost) periodic solutions of functional differential equations,  Vietnam J. Mathematics, 30 SI (2002), 577-589.
  21. S. Murakami,  Nguyen Van Minh, Some Invariant Manifolds for Abstract Functional Differential Equations and Linearized Stabilities,  Vietnam J. Mathematics, 30 SI (2002), 437-458.
  22.  Bernd Aulbach and Nguyen Van Minh, A sufficient condition for almost periodicity of solutions of nonautonomous nonlinear evolution equations, Nonlinear Analysis: Theory, Methods \& Applications 51 (2002), N.1, 145-153.
  23. T. Furumochi, T. Naito, Nguyen Van Minh, Boundedness and almost periodicity of solutions of partial functional differential equations, Journal of Differential Equations 180 (2002), 125-152.
  24.  Y. Hino, S. Murakami, T. Naito, Nguyen Van Minh, A variation of constants formula for abstract functional differential equations in the phase Space, Journal of Differential Equations 179 (2002), 336-355.
  25.  T. Naito, Nguyen Van Minh, J. S. Shin, Almost periodic solutions of differential equations  in Banach spaces: some new results and methods,  Vietnam J.  of Mathematics 29 (2001), 295-330.
  26. T. Naito, Nguyen Van Minh, J.S. Shin, New spectral criteria for almost periodic solutions of evolution equations, Studia Mathematica, 145 (2001), 97-111.
  27.  T. Naito J.S. Shin, and Nguyen Van Minh, Periodic solutions of linear differential equations,  Surikaisekikenkyusho Kokyuroku 1216 (2001), 78-89.
  28.  Nguyen Thieu Huy, Nguyen Van Minh, Exponential Dichotomy of Difference Equations and Applications to Evolution Equations on the Half-Line, Computers and Mathematics with Applications 42 (2001), N. 3-5,   301-311.
  29.  T. Naito, Nguyen Van Minh, R. Miyazaki, Y. Hamaya, Boundedness and almost periodicity dynamical systems,  Journal of Difference Equations and Applications, 7 (2001), 507-528.
  30.  T. Naito, Nguyen Van Minh, J. S. Shin, Periodic and almost periodic solutions of functional differential equations with finite and infinite delay,  Nonlinear Analysis TMA 47 (2001), 3989-3999.
  31.  Nguyen Van Minh, Nguyen Thieu Huy, Charaterizations of dichotomies of evolution equations on the half line, Journal of Mathematical Analysis and Applications 261 (2001), N. 1, 28-44.
  32.  J.S. Shin, T. Naito, Nguyen Van Minh, Existence and uniqueness of periodic solutions to periodic linear functional differential  equation with finite delay,   Funkcialaj Ekvacioj, 44 (2001), 53-71.
  33.  S. Murakami, T. Naito, Nguyen Van Minh, Evolution semigroups and sums of commuting operators: A new approach to the admissibility theory of function spaces,  Journal of Differential Equations. 164 (2000), pp. 240-285.
  34.  T. Naito, R. Miyazaki, Nguyen Van Minh and J.S. Shin, A decomposition theorem for bounded solutions and the existence of periodic solutions to periodic equations,  Journal of Differential Equations,  160 (2000), N.1, pp. 263-282.
  35.  B. Aulbach, Nguyen Van Minh, Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations, Abstract and Applied Analysis, 5 (2000), 245-264.
  36. S. Murakami, T. Naito, Nguyen Van Minh, Spectral analysis of an operator associated with linear functional differential equations and its applications,  E. Journal Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 20. (2000), pp. 1-15. (Electronic). http://www.math.u-szeged.hu/ejqtde/6/620.html
  37. T. Naito, Nguyen Van Minh, Jong Son Shin, On the spectrum of some functional differential equations, in "Semigroups of Operators: Theory and Applications International Conference in Newport Beach, December 14 - 18, 1998",  Birkhauser Book Series: Progress in Non-Linear Differential Equations and Their Applications, Vol. 42 (2000), pp. 222-228.
  38.  J.S. Shin, T. Naito, Nguyen Van Minh, On stability of solutions in linear autonomous functional differential equations, Funkcialaj Ekvacioj  43 (2000), 323-337.
  39.  T. Naito, Nguyen Van Minh and J.S. Shin, On a spectral criterion for almost periodicity of solutions of  periodic evolution equations,  Electronic Journal of Qualitative Theory of Differential Equations,  1 (1999), 1-28.
  40.  T. Naito and Nguyen Van Minh,  Evolutions semigroups and spectral criteria for almost  periodic solutions  of periodic evolution equations, Journal of Differential Equations 152 (1999), 358-376.
  41.  Nguyen Van Minh, On the proof of characterizations of the exponential dichotomy, Proceedings of the American Mathematical Society 127 (1999), 779-782.
  42.  B. Aulbach and Nguyen Van Minh,  Almost periodic mild solutions of a class of partial functional differential equations, Abstract and Applied Analysis, 3 (1998), 425--436.
  43.  B. Aulbach, Nguyen Van Minh, P.P. Zabreiko,  Structural stability of linear difference equations in Hilbert space.  Advances in difference equations, II.  Computer and Mathematics with Applications 36 (1998), no. 10-12, 71--76.
  44.  Nguyen Van Minh, F. Rabiger and R. Schnaubelt,  Exponential stability, exponential expansiveness, and exponential  dichotomy of evolution equations on the half-line,  Integral Equations and Operator Theory 32 (1998), 332-353.
  45.  B. Aulbach, Nguyen Van Minh, Semigroups and differential equations with almost periodic coefficients, Nonlinear Analysis TMA, 32 (1998), 287-297.
  46.  B. Aulbach, Nguyen Van Minh,Nonlinear semigroups and the existence and stability of solutions of semilinear nonautonomous evolution equations, Abstract and Applied Analysis,1 (1996), 351-380.
  47.  B. Aulbach, Nguyen Van Minh,The concept of spectral dichotomy for linear difference equations, II., Journal Difference Equations and Applications, 2 (1996), 251-262.
  48.  B. Aulbach, Nguyen Van Minh and P.P. Zabreiko, Groups of weighted translation operations in $L_p$ and linear nonautonomous differential equations, Journal of Mathematical Analysis and Applications, 194 (1995), 622-631.
  49.   B. Aulbach and Nguyen Van Minh, Semigroups and exponential stability of nonautonomous linear differential equations on the half-line, in  Dynamical Systems and Applications. Edited by by R.P. Agarwal. World Scientific Series in Applicable Analysis, 4. World Scientific Publishing Co., Inc.,  (1995), 45-61.
  50.  D.D. Bainov, S.I. Kostadinov, Nguyen Van Minh, and P.P. Zabreiko,Topological classification of impulsive differential equations, International Journal of Theoretical Physics, 34 (1995),1147-1162.
  51.  D.D. Bainov, S.I. Kostadinov, Nguyen Van Minh, and P.P. Zabreiko,Existence of exponential dichotomy of a class of impulsive differential equations, International Journal of Theoretical Physics, 34 (1995), 135-143.
  52.  Nguyen Van Minh, Spectral theory for linear non-autonomous differential equations,  Journal of Mathematical Analysis and Applications, 187 (1994), 339-351.
  53. Nguyen Van Minh, Semigroups and stability of nonautonomous differential equations in Banach space, Transactions of the American Mathematical Society, 345 (1994), 223-241.
  54.  J. Appell, Nguyen Van Minh and P.P. Zabreiko, General exponent and dichotomy in stochastic differential equations, Dynamic Systems and Applications, 3 (1994), 39-50.

 

  1.  B. Aulbach, Nguyen Van Minh and P.P. Zabreiko, The concept of spectral dichotomy for linear difference equations, Journal of Mathematical Analysis and Applications, 185 (1994), 275-287.
  2.  B. Aulbach, Nguyen Van Minh and P.P. Zabreiko, Integral manifolds of a general model of evolutionary processes  with impulse effect,  Nonlinear Analysis TMA, 23 (1994), 197-214.
  3.  D.D. Bainov, S.I. Kostadinov, Nguyen Van Minh, and P.P. Zabreiko,Topological equivalence and exponential dichotomy of linear impulsive equations, International Journal of Theoretical Physics, 33 (1994), 1581-1597.
  4.  B. Aulbach, Nguyen Van Minh and P.P. Zabreiko, A generalization of monodromy operator for non-periodic linear differential equations, Differential Equations and Dynamical Systems, 1 (1993), 211-222.
  5.  J. Appell, V. Lakshmikantham, Nguyen Van Minh and P.P. Zabreiko, A general model of evolutionary processes. Exponential dichotomy-II., Nonlinear Analysis TMA, 21 (1993), 219-225.
  6.  J. Appell, V. Lakshmikantham, Nguyen Van Minh and P.P. Zabreiko, A general model of evolutionary processes. Exponential dichotomy-I., Nonlinear Analysis TMA, 21 (1993), 207-218.
  7.  D.D. Bainov, S.I. Kostadinov, Nguyen Van Minh, and P.P. Zabreiko,Continuous dependence on a parameter of the solutions of impulsive differential equations in a Banach space, International Journal of Theoretical Physics, 32 (1993), 1275-1280.
  8.  Nguyen Van Minh, Non-linear semigroups and non-linear autonomousdifferential equations,  Doklady of Belorussian Academy of Sciences, 37 (1993), 113-117 (in Russian).
  9.  Nguyen Van Minh, Semigroups and linear ordinary differential equations on the half line,  Doklady of Belorussian Akademy of Sciences, 37 (1993), 19-22 (in Russian).
  10.  Nguyen Van Minh, A reduction principle for topological classification of nonautonomous differential equations,  Proceedings of the Royal Society of Edinburgh, 123A (1993), 621-632.
  11.  D.D. Bainov, S.I. Kostadinov, Nguyen Van Minh, Nguyen Hong Thai and P.P. Zabreiko, Integral manifolds of impulsive differential equations, Journal of Applied Mathematics and Stochastic Analysis, 5 (1992), 99-109.
  12.   P.P. Zabreiko and Nguyen Van Minh, Exponential dichotomy and integral manifolds in theory of flows, and applications, Dokl. of Russian Academy of Sciences, 324 (1992), 515-518 (in Russian). English translation by the American Mathematical Society, (the same title),  Russian Acad. Sci. Dokl. Math. 45 (1992), 583-586.
  13.   P.P. Zabreiko and Nguyen Van Minh, The group of characteristic operators and  its applications in the theory of linear ordinary differential equations,  Dokl. of Russian Academy of Sciences, 324 (1992), 24-28 (in Russian). English Translation by the American Mathematical Society, (the same title),  Russian Acad. Sci. Dokl. Math. 45 (1992), 517-521.
  14.  P.P. Zabreiko and Nguyen Van Minh, Stochastic perturbation of linear systems having an exponential dichotomy, Doklady of Byelorussian Academy of Science, 36 (1992), 790-793 (in Russian)
  15.   Nguyen Van Minh and Tran Van Nhung, Attractors of systems close to autonomous ones having a stable limit cycle,  Acta Mathematica Hungarica, 58 (1991), 17-23.
  16.  Nguyen Van Minh,  On the topological classification of inhomogeneous differential equations,  Ukrainskii Matematicheskii Zhurnal, 42 (1990), 423-426 (in Russian).
  17.  Hoang Huu Duong and  Nguyen Van Minh, Singularities of the stability frontier of generic families of linear differential equations, Acta Mathematica Hungarica, 56 (1990), 71-75.
  18.  Nguyen Van Minh, On a topological classification of nonautonomous differential equations, in {''Colloquia Mathematica Societatis Janos Bolyai 53. Qualitative Theory of Differential Equations, Szeged 1988'', North-Holland, Amsterdam, (1990), 421-426.
  19.  Hoang Huu Duong and  Nguyen Van Minh,  Local models of the greatest characteristic exponent of differential equations depending on parameters, in Banach Center Publications, Polish Academy of Sciences 23, Warsaw, 1989, 165-177.

 

Accepted papers

 

76.   Nguyen van Minh, Almost periodic solutions of $C$-well-posed Evolution Equations. To appear in the Math. J. Okayama University.

77.   J. Liu, G. Nguerekata, Nguyen Van Minh, Vu Quoc Phong, Bounded Solutions of Parabolic Equations in Continuous Function Spaces. To appear in Funkciolaj Ekvacioj.

78.   P. H. A. Ngoc, N. V. Minh and T. Naito,   Stability Radii of Positive Linear Functional Differential Systems in Banach Spaces. Intern. J. Evolution Equations. To appear.

79.    Nguyen Van Minh, Tran Tat Dat,  On the almost automorphy of bounded solutions of differential equations with piecewise constant argument. J. Math. Anal. Appl. To appear.