1. N. Dinh and H.X. Phu, Solving a class of regular optimal control problems with state constraints by the Method of Orienting Curves, Optimization, 25, 1992, pp. 231 -- 247.
2. N. Dinh and H.X. Phu, Solving a class of optimal control problems which are linear in the control variable by the Method of Orienting Curves, Acta Mathematica Vietnamica, 17, 1992, pp. 115 -- 134.
3. N. Dinh and H.X. Phu, Method of Orienting Curves and its application to an optimal control problem of a hydroelectric power plant. VN Journal of Mathematics, 20, 1992, pp. 40 -- 53.
4. N. Dinh, Solving a class of linear optimal control problems with several control variables by the Method of Orienting Curves. Optimization, 30, 1994, pp. 269 - 271.
5. H.X. Phu and N. Dinh, Some remarks on the Method of Orienting Curves. Numerical Functional Analysis and Optimization, 16 (5\& 6), 1995, pp. 755 - 763.
6. E.J. Balder and N. Dinh, Some extensions of Berliocchi - Lasry theorem and extremum principles for classes of mathematical programming problems, VN Journal of Mathematics, 27 (1), 1999, pp. 23 - 31.
7. N. Dinh and L.A. Tuan, Directional Kuhn-Tucker conditions and duality for quasidifferentiable programs, Acta Mathematica Vietnamica, 28(1), 2003, 17 - 38.
8. V. Jeyakumar, G.M. Lee, and N. Dinh, New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs, SIAM Journal on Optimization, 14(2),2003, 534 - 547.
9. V. Jeyakumar, G.M. Lee, and N. Dinh, Lagrange multiplier conditions characterizing optimal solution sets of convex programs, Journal of Optimization Theory and Application, 123(1), 2004, 83 - 103.
10. N. Dinh, V. Jeyakumar, and G.M. Lee, Sequential Lagrangian duality for abstract convex programs without regularity condition, Journal of Optimization Theory and Application, 123, No. 1, 2005, 85-112.
11. N. Dinh, G. M. Lee, and L. A. Tuan, Generalized Lagrange multipliers for non-convex directionally differentiable programs. In Continuous Optimization: current trends and modern applications, Edts. V. Jeyakumar and B. M. Glover, Springer, (September) 2005.
12. N. Dinh, M.A. Goberna, and M.A. Lopez, From linear to convex systems: Consistency, Farkas' lemma and applications, Journal of Convex Analysis, 13, No. 1, 2006, 133-133.
13. V. Jeyakumar, Z.Y. Wu, G.M. Lee, and N. Dinh, Liberating the subgradient optimality conditions from constraint qualifications, Journal of Global Optimization, 36, 2006, 127-137.
14. M.A. Goberna, V. Jeyakumar, and N. Dinh, Dual Characterizations of set containments with strict convex inequalities, Journal of Global Optimization, 34, 2006, 33 - 54.
15. V. Jeyakumar, G.M. Lee, and N. Dinh, Characterization of solution sets of convex vector minimization problems, European Journal of Operational Research, 174, 2006, 1380 – 1395.
16. N. Dinh, V. Jeyakumar, and G.M. Lee, Lagrange multiplier characterizations of solution sets of constrained pseudo-linear optimization problems, Optimization, No. 3, 55, 2006, 241 - 250.
17. N. Dinh, M.A. Goberna, M.A. Lopez, and T.Q. Son, New Farkas type constraint qualifications in convex infinite programming, ESAIM Control, Optimisation and calculus of Variations, Vol. 13, No. 3, 2007, 580-597.
18. N. Dinh, G. Vallet, and T.T.A. Nghia, Farkas-type results and duality for DC programs with convex constraints, Journal of Convex Analysis, Vol. 15, No. 2, 2008, 235 – 262.
19. N. Dinh, On qualification conditions and Farkas’ lemma: Generalization and applications. Proceeding of the Sixth Vietnam-Korea Joint Workshop, Feb. 25-29, 2008, pp. 1- 22 (Editors: V.N. Phat and D.S. Kim), Publishing House for Sciences and Technology, Hanoi, 2008.
20. T.Q. Son, N. Dinh, Characterizations of solution sets of convex infinite problems, TOP, 16, 2008, 147 – 163.
21. N. Dinh, B. Mordukhovich, and T.T.A. Nghia, Qualification and optimality conditions for DC programs with infinite constraints. Acta Mathematica Vietnamica, 34(1), 2009, 123 – 153.
22. N. Dinh, B. Mordukhovich, and T.T.A. Nghia, Subdifferentials of value functions and optimality conditions for some classes of DC and bilevel infinite and semi-infinite programs. Mathematical Programming, Vol. 123, Issue 1 (2010), 101-138.
23. N. Dinh, J.-J. Strodiot, V.H., Nguyen, Duality and Optimality Conditions for Generalized Equilibrium Problems Involving DC Functions. Journal of Global Optimization, Vol. 48, 2010, 183-208.
24. N. Dinh, T.T.A. Nghia, and G. Vallet, A closedness condition and its applications to DC programs with convex constraints. Optimization, Vol. 59, No. 4, 2010, 541-560
25. S.Dempe, N. Dinh, J. Dutta, Optimality conditions for a simple convex bilevel programming problem. In: Variational Analysis and generalized Differentiation in Optimization and Control. R.S. Burachik, J-C Yao (eds.). Springer, Berlin, 2010.
26. N. Dinh, M.A. Goberna, and M.A. Lopez, On the stability of the feasible set in mathematical programming. SIAM J. Optim., Vol. 20, No. 5, 2010, 2254-2280.
27. N. Dinh, M.A. Lopez, M. Volle, Functional inequalities in the absence of convexity and lower semicontinuity with applications to optimization. SIAM J. Optim., Vol. 20, No. 5, 2010, 2540-2559.
28. N. Dinh, M.A. Goberna, M.A. Lopez, M. Volle, Convex inequalities without constraint qualification nor closedness conditions and thẻi application in optimization. Set-valued and variational Analysis, Vol. 18, 2010, 423-445.
29. G.M. Lee, G.S. Kim, N. Dinh, Optimality conditions for approximate solutions of convex semi-Infinite vector optimization problems optimality conditions for approximate solutions. In “Recent developments in vector optimization”. Eds.: Q.H. Ansari, J.-C Yao, Springer, 2012, pp. 275-295.
30. N. Dinh, M.A. Goberna, M.A. Lopez, On the stability of the optimal value and the optimal set in optimization problems. Journal of Convex Analysis, Vol. 19 (4) (2012), 927-953.
31. N. Dinh, T.H. Mo, Qualification conditions and Farkas-type results for systems involving composite functions, Vietnam Journal of Mathematics, Vol. 40 (4), 2012, 407 – 437.
32. N. Dinh, Vallet G, and Volle M (2014) Functional inequalities and theorems of the alternative involving composite functions with applications. J. Global Optimization (to appear)
http://link.springer.com/article/10.1007/s10898-013-0100-Z
33. N. Dinh, E. Ernst, M.A. Lopez, M. Volle (2014) An approximate Hahn-Banach theorem for positively homogeneous functions. Optimization (to appear)
DOI: 10.1080/02331934.2013.864290 http://www.tandfonline.com/doi/abs/10.1080/02331934.2013.864290\#.UrZnSyd6SSo
34. N. Dinh, M.A. Goberna, M.A. Lopez, T.H. Mo (2014) From Farkas to Hahn-Banach theorem. SIAM J. Optim. (to appear).
35. N. Dinh, V. Jeyalumar (2014), Farkas' Lemma: Three Decades of Generalizations for Mathematical Optimization. Top (to appear)
DOI 10.1007/s11750-014-0319-y
36. N. Dinh, V. Jeyalumar (2014), Rejoinder on Farkas' Lemma: Three Decades of Generalizations for Mathematical Optimization. Top (to appear)
DOI 10.1007/s11750-014-0320-5
Internal reports/preprints - University’s Bulletins
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N. Dinh, Relaxation by way of Young measures for a class of nonconvex variational problems, Bulletin of Science and Education, Hue University of Education, 9/1996, pp. 53 - 58.
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N. Dinh, Relaxation and the existence of relaxed and chattering solutions for a class of optimal control problems without convexity assumptions. Bulletin of Science and Education, Hue University of Education, 3/1997, pp. 29 - 36.
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N. Dinh and L.A. Tuan, Necessary and sufficient optimality conditions for locally Lipschitz programs with equality constraints, The Hue University Journal of Research, No. 4, 2000, pp. 11- 17 (in Vietnamese).
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N. Dinh and N.M. Nam, On weak stability by perturbations of an optimization problem, The Hue University Journal of Research, No. 10, 2002, pp. 21-28 (in Vietnamese).
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V. Jeyakumar and N. Dinh, Avoiding duality gaps in convex semi-definite programming without Slater's condition, Applied Mathematics Research Report AMR04/6, 2004, School of Mathematics, University of New South Wales, Sydney, Australia (unpublished paper).
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V. Jeyakumar, N. Dinh, and G.M. Lee, A new closed cone constraint qualification for convex optimization. Applied Mathematics Research Report AMR04/8, 2004, School of Mathematics, University of New South Wales, Sydney, Australia (unpublished paper).
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N. Dinh, On results of Farkas type and its applications to convex optimization problems, Bulletin of Sciences, Ho Chi Minh City University of Pedagogy, 6, No. 40, 2005, 3 - 25 (in Vietnamese).
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N. Dinh and T.T.A, Nghia, Farkas lemma for systems involving convex and DC-functions, Bulletin of Sciences, Ho Chi Minh City University of Pedagogy, 6, No. 40, 2005, 41 - 52 (in Vietnamese).
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V. Jeyakumar, W. Song, N. Dinh, and G.M. Lee, Stable strong duality in convex optimization, Applied Mathematics Research Report AMR05/22, 2005, School of Mathematics, University of New South Wales, Sydney, Australia (unpublished paper).
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N. Dinh and T.Q. Son, Approximate optimality conditions and duality for convex infinite programming problems. Journal of Science and Technology Development, Vietnam National University-Ho Chi Minh city, 2008.
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N. Dinh and T. H. Mo, Farkas-type results for nonconvex systems involving composite functions with applications, Scientific Journal (Dalat University), 3A (6/ 2012), 32-40.
Textbooks and lecture notes
1. Nguyen Trong Chien, Phan van Danh, Nguyen Dinh, Nguyen Hoang, and Hoang Tron, Activities in teaching mathematics in high school - Analysis (in Vietnamese, document for teachers in high school to update mathematical knowledge, period 1997 - 2000), Hue University of Pedagogy, 1999.
2. Phan Van Danh, Nguyen Dinh, Le Van Hap, Nguyen Hoang, Problems in Higher mathematics: Analysis of functions of one variable (in Vietnamese). Publishing House of Education, Hanoi, 2003.
3. N. Dinh and N. Hoang, Real Analysis (topology and theory of measures and integration) (in Vietnamese). Publishing House of Education, Hanoi, 1999.
4. N. Dinh and N. N. Hai, Theorems and Problems in Real Analysis (in Vietnamese). Publishing House of Education, Hanoi, 1999.
5. Phan Van Danh, Nguyen Dinh, Le Van Hap, Nguyen Hoang, and Le V. Ngu, Higher Mathematics II: Analysis of functions of one variable (in Vietnamese). Publishing House of Education, Hanoi, 1998.
6. N. Dinh, Modern Analysis I (in Vietnamese, Lecture for Master students), Hue University of Pedagogy, 1997.
Conference reports (selected)
- N. Dinh (invited lecture), Generalized Lagrange multipliers for non-convex optimization. The First Korea-Japan Joint Symposium on Nonlinear Functional Analysis and Convex Analysis, Kyongju, Korea, August 2-5, 2002.
- N. Dinh, Generalized conditions and duality for nonconvex optimization problems. Conference on Operator Theory, Functional Analysis, and Finite Element Method, Bangkok, August 28, 2003.
- N. Dinh, Sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs. Workshop on Optimization and Scientific Computing, Hanoi-Quangninh July 14-18, 2003.
- N. Dinh (invited lecture) On results of Farkas type and applications. The 4th Vietnam-Korea Workshop on Mathematical Optimization Theory and Applications, HoChiMinh city, February 18-20, 2004.
- N. Dinh, From linear to convex systems: Consistency, Farkas lemma and applications. Workshop on Optimization and Scientific Computing, Hanoi, April 20-24, 2005.
- N. Dinh (invited lecture), Farkas-type results and constraint qualifications in convex infinite programming. The Fifth Korea-Vietnam Joint Seminar on Mathematical Optimization Theory and Applications, Busan, February 8-11, 2006.
- N. Dinh, Approximate subdifferentials for a class of convex functions and applications. Workshop on Optimization and Scientific Computing, Bavi-Hatay, April 26-29, 2006.
- N. Dinh, A result on the stability of a class of parametric convex optimization problems, Workshop on Optimization and Scientific Computing, Bavi-Hatay, May 16-19, 2007.
- N. Dinh (invited lecture), On Farkas-Minkovski constraint qualification and Farkas lemma: Generalization and applications, The 6th CUD Spring School on Optimization and Applied mathematics, Ho Chi Minh city, March 4-10, 2007.
- N. Dinh (invited lecture), Duality for generalized equilibrium problems involving DC functions, International Symposium on Nonlinear Analysis and Optimization, Pukyong National University, Pusan, Korea, Feb. 16-18, 2008.
- N. Dinh (invited lecture), Closedness conditions and Farkas-type results: Generalizations and applications to convex and DC optimization problems, The sixth Korea-Vietnam Joint Seminar on Mathematical Optimization Theory and Applications, Nhatrang, Vietnam, February, 2008.
- N. Dinh (invited lecture) Qualification conditions and the stability of convex optimization problems. Workshop on Optimization and Scientific Computing, Bavi, Hanoi, April 22-25, 2009.
- N. Dinh, Qualification, optimality conditions and subdifferentials of optimal value functions for DC infinite and semi-infinite programs. European Conference on Operations Research 23rd (EURO XXIII), Bonn, July 5-9, 2009.
- N. Dinh, Optimality conditions for a simple class of bilevel optimization problem. Workshop on Optimization and Scientific Computing, Bavi-Hatay, April 20-23, 2010.
- N. Dinh (invited lecture), Convex inequalities without constraint qualification nor closedness condition and their applications in optimization. The 8th International Spring School/Workshop on Optimization and Its Applications, March 1-3, 2010, Nhatrang, Vietnam.
- N. Dinh, Stability of optimal values and optimal sets in optimization problems. Workshop on Optimization and Scientific Computing, Bavi-Hatay, Hanoi, April 20-24, 2011.
- N. Dinh (invited talk), Some new Farkas-type results and their applications to optimization. International Conference in Mathematics and Applications, UEL, VNU-HCMC, Dec. 2011.
- N. Dinh, Farkas lemma and Hahn-Banach theorem: Extensions and relations. Workshop on Optimization and Scientific Computing, Bavi-Hatay, Hanoi, April 18-21, 2012.
- N. Dinh, Some extensions of Farkas lemma and Hahn-Banach theorem. VMS-SMF Joint Congress, Hue, August 20-24, 2012.
- N. Dinh (joint with S. Dempe, J. Dutta), Optimality conditions for a simple MPEC problem. Workshop on Optimization and Scientific Computing, Bavi-Hatay, Hanoi, April 24-27, 2013.