Bùi Trọng Kiên

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1. 1. Bùi Trọng Kiên, From Nonlinear and Variational Analysis to Optimal Control Problems, Habilitation doctor thesis, Universite' de Limoges, France, 2026. (2026)
2. 2. Huỳnh Khanh, Bùi Trọng Kiên, Arnd Rösch, Second-order optimality conditions for time-optimal control problems governed by semilinear parabolic equations, ESAIM: Control, Optimisation and Calculus of Variations, 31 (2025) 100 (2025)
3. 3. Huỳnh Khanh, Bùi Trọng Kiên, Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints, Numerical Functional Analysis and Optimization Volume 46, 2025 - Issue 2, Pages 137-165 (2025)
4. 4. Bùi Trọng Kiên, Nguyen Thanh Qui, On the existence of solutions to a class of optimal control problems, Journal of Nonlinear and Convex Analysis, 25 (2024), no. 12, 2949–2958 (2024)
5. 5. T. D. Binh, Bùi Trọng Kiên, Nguyễn Hải Sơn, Local stability of solutions to a parametric multi-objective optimal control problem, Optimization, Volume 73, 2024, Pages 2247-2275 (2024)
6. 6. Huỳnh Khanh, Bùi Trọng Kiên, On the regularity of multipliers and second-order optimality conditions of KKT-type for semilinear parabolic control problems, Journal of Mathematical Analysis and Applications Volume 538, Issue 1, 1 October 2024, 128436 (2024)
7. 7. Bùi Trọng Kiên, T. D. Binh, On the second-order optimality conditions for multiobjective optimal control problems with mixed pointwise constraints, Journal of Global Optimization, 85 (2023), no. 1, 155-183. (2023)
8. 8. Bùi Trọng Kiên, Arnd Rösch, Nguyễn Hải Sơn, Nguyễn Văn Tuyên, FEM for semilinear elliptic optimal control with nonlinear and mixed constraints, Journal of Optimization Theory and Applications 197 (2023), 130-173 2023 (2023)
9. 9. Bùi Trọng Kiên, Nguyễn Quốc Tuấn, Error Estimates for Approximate Solutions toSeminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints, Numerical Functional Analysis and Optimization, 43 (2022), 1672-1706 (2022)
10. 10. T. D. Binh, Bùi Trọng Kiên, Xiaolong Qin, Ching-Feng Wen, Regularity of multipliers in second-order optimality conditions for semilinear elliptic control problems, Applicable Analysis: An International Journal, Volume 101, 2022, 5504-5516 (2022)
11. 11. Bùi Trọng Kiên, V. E. Fedorov, Tạ Duy Phượng, Optimal Control Problems Governed by Fractional Differential Equations with Control Constraints, SIAM Journal on Control and OptimizationVol. 60, No. 3, pp. 1732–1762, 2022. (2022)
12. 12. Bùi Trọng Kiên, Ching-Feng Wen, Jen-Chih Yao, The Galerkin method and regularization for variational inequalities in reflexive Banach spaces, Journal of Optimization Theory and Applications, 189 (2021), no. 2, 578-596 (2021)
13. 13. M. V. Plekhanova, G. D. Baibulatova, Bùi Trọng Kiên, Distributed control for semi-linear equations with Gerasimove- Caputo derivatives, CBΦY Mathematical, 28 (20221), 2 (2021)
14. 14. Bùi Trọng Kiên, Nguyễn Thị Thu Hương, Xiaolong Qin, Ching-Feng Wen, Jen-Chih Yao, Regularity of solutions to a distributed and boundary optimal control problem governed by semilinear elliptic equations, Journal of Mathematical Analysis and Appplications, 495 (2021), 124694, (2021)
15. 15. Bùi Trọng Kiên, Nguyễn Quốc Tuấn, Ching-Feng Wen, Jen-Chih Yao, L^{\infty} -Stability of a Parametric Optimal Control Problem Governed by Semilinear Elliptic Equations, Applied Mathematics & Optimization volume 84, pages 849–876 (2021), (2021)
16. 16. Bùi Trọng Kiên, Xiaolong Qin, Ching-Feng Wen, Jen-Chih Yao, Second-order optimality conditions for multi-objective optimal control problems with mixed pointwise constraints and free right end points, SIAM Journal on Control and Optimization, 58(2020), No. 4, 2658–2677 (2020)
17. 17. V. E. Fedorov, Tạ Duy Phượng, Bùi Trọng Kiên, K.V. Boyko, E.M. Izhberdeeva, A Class of distributed order semilinear equations in Banach spaces, Chelyabinsk Physical and Mathematical Journal. 2020. Vol. 5, iss. 3. p. 342-351 (2020)
18. 18. Nguyễn Quang Huy, Bùi Trọng Kiên, Gue Myung Lee, Nguyễn Văn Tuyên, Second order optimality conditions for multiobjective optimization problems with constraints, Linear Nonlinear Analysis, 5(2019), No. 2, 237–253 (2019)
19. 19. Bùi Trọng Kiên, Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations, Acta Mathematica Vietnamica, 44 (2019), Issue 2, pp 431–448 (2019)
20. 20. Bùi Trọng Kiên, Jen-Chih Yao, Semicontinuity of the solution set to a parametric optimal control problem, Applied Analysis and Optimization 2 (2018), 93--116. (2018)
21. 21. Bùi Trọng Kiên, Nguyễn Văn Tuyên, Jen-Chih Yao, Second-order KKT optimality conditions for multi-objective optimal control problems, SIAM Journal on Control and Optimization, 56(2018), 4069--4097 (2018)
22. 22. Bùi Trọng Kiên, Jen-Chih Yao, Local stability of solutions to parametric semilinear elliptic optimal control problems, Applied Analysis and Optimization 1 (2017), 361--379. (2017)
23. 23. Bùi Trọng Kiên, Arnd Rösch, Daniel Wachsmuth, Pontryagin’s Principle for Optimal Control Problem Governed by 3D Navier–Stokes Equations, Journal of Optimization Theory and Applications, 173 (2017), 30–55 (2017)
24. 24. Bùi Trọng Kiên, Vũ Hữu Nhự, Nguyễn Hải Sơn, Second-Order Optimality Conditions for a Semilinear Elliptic Optimal Control Problem with Mixed Pointwise Constraints, Set-Valued and Variational Analysis 25 (2017) 177–210 (2017)
25. 25. Nguyễn Hải Sơn, Bùi Trọng Kiên, Arnd Rösch, Second-order optimality conditions for boundary control problems with mixed pointwise constraints, SIAM Journal on Optimization, 26(2016), 1912-1943 (2016)
26. 26. Nguyễn Huy Chiêu, Bùi Trọng Kiên, Nguyễn Thị Toàn, Further results on subgradients of the value function to a parametric optimal control problem, Journal of Optimization Theory and Applications, 168 (2016), 785--801 (2016)
27. 27. Bùi Trọng Kiên, Gue Myung Lee, Nguyễn Hải Sơn, First- and Second-Order Necessary Optimality Conditions for Optimal Control Problems Governed by Stationary Navier–Stokes Equations with Pure State Constraints, Vietnam Journal of Mathematics 44 (2016) 103-131 (2016)
28. 28. Bùi Trọng Kiên, Vũ Hữu Nhự, Arnd Rösch, Second-order necessary optimality conditions for a class of optimal control problems governed by partial differential equations with pure state constraints, Journal of Optimization Theory and Applications 165 (2015), 30–61 (2015)
29. 29. Bùi Trọng Kiên, Vũ Hữu Nhự, Arnd Rösch, Lower semicontinuity of the solution map to a parametric elliptic optimal control problem with with mixed pointwise constraints, Optimization, 64 (2015), 1219-1238 (2015)
30. 30. Bùi Trọng Kiên, Vũ Hữu Nhự, Second-order necessary optimality conditions for a class of semilinear elliptic optimal control problems with mixed pointwise constraints, SIAM Journal on Control and Optimization 52 (2014), 1166–1202 (2014)
31. 31. Vũ Hữu Nhự, N. H. Anh, Bùi Trọng Kiên, Holder continuity of the solution map to an elliptic optimal control problem with mixed constraints, Taiwanese Journal of Mathematics, 17 (2013), 1245 - 1266 (2013)
32. 32. Bùi Trọng Kiên, Ngai-Ching Wong, Jen-Chih Yao, Necessary conditions for multiobjective optimal control problems with state constraints, Dynamics of Continuous, Discrete and Impulsive System, Series B, Applications and. Algorithms, 19(2012), no. 3, 431-446 (2012)
33. 33. Bùi Trọng Kiên, Nguyễn Thị Toàn, M. M. Wong, Jen-Chih Yao, Lower semicontinuity of the solution set to a parametric optimal control problem, SIAM Journal on Control and Optimization, 50 (2012), 2889 -- 2906 (2012)
34. 34. Bùi Trọng Kiên, Gue Myung Lee, An existence theorem for generalized variational inequalities with discontinuous and pseudo-monotone operators, Nonlinear Analysis: Theory, Methods & Applications, 74(2011) 1495- 1500 (2011)
35. 35. Nguyễn Thị Toàn, Bùi Trọng Kiên, Continuity properties of the solution map to a parametric discrete optimal control problem, J. Nonl. Convex Anal., 12(2011), 635-650 (2011)
36. 36. Nguyễn Thị Toàn, Bùi Trọng Kiên, Subgradients of the value function to a parametric optimal control problem, Set-Valued and Variational Analysis, 18 (2010), 183–203. (2010)
37. 37. Bùi Trọng Kiên, M. M. Wong, Ngai-Ching Wong, Jen-Chih Yao, Degree theory for generalized variational inequalities and applications, European Journal of Operational Research, 192 (2009), 730–736 (2009)
38. 38. Bùi Trọng Kiên, Y. C. Liou, Ngai-Ching Wong, Jen-Chih Yao, Subgradients of value functions in parametric dynamic programming, European Journal of Operational Research, 193(2009), 12–22 (2009)
39. 39. Bùi Trọng Kiên, Y. C. Liou, Ngai-Ching Wong, Jen-Chih Yao, Subgradients of value functions in parametric dynamic programming, European Journal of Operational Research, 193(2009), 12–22 (2009)
40. 40. Bùi Trọng Kiên, M. M. Wong, Ngai-Ching Wong, Jen-Chih Yao, Solution existence of variational inequalities with pseudomonotone operators in the sense of Brezis, Journal of Optimization Theory and Applications, 140 (2009), 249–263 (2009)
41. 41. Bùi Trọng Kiên, Nguyễn Quang Huy, Ngai-Ching Wong, On the solution existence of generalized vector quasi-equilibrium problems with discontinuous multifunctions, Taiwanese Journal of Mathematics, 13 (2009), 757–775 (2009)
42. 42. Bùi Trọng Kiên, Lower semicontinuity of the solution map to a parametric generalized variational inequality in reflexive Banach spaces, Set-Valued Analysis 16 (2008), 1089– 1105 (2008)
43. 43. Bùi Trọng Kiên, M. M. Wong, Ngai-Ching Wong, On the degree theory for general mappings of monotone type, Journal of Mathematical Analysis and Applications, 340(2008), no. 1, 707–720 (2008)
44. 44. Bùi Trọng Kiên, Ngai-Ching Wong, Jen-Chih Yao, Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators, Nonlinear Analysis: Theory, Methods & Applications, 68(2008), no. 9, 2859–2871 (2008)
45. 45. Bùi Trọng Kiên, Ngai-Ching Wong, Jen-Chih Yao, On the solution existence of implicit quasivariational inequalities with discontinuous multifunctions, Optimization 57(2008), no. 4, 515–526 (2008)
46. 46. Bùi Trọng Kiên, Ngai-Ching Wong, Jen-Chih Yao, Necessary conditions for multiobjective optimal control problems with free end-time, SIAM Journal on Control and Optimization, 47(2008), no. 5, 2251–2274 (2008)
47. 47. Bùi Trọng Kiên, Jen-Chih Yao, Localization of generalized normal maps and stability of variational inequalities in reflexive Banach spaces, Set-Valued Anal., 16 (2008), 399–412 (2008)
48. 48. Bùi Trọng Kiên, Jen-Chih Yao, Nguyễn Đông Yên, On the solution existence of pseudomonotone variational inequalities, Journal of Global Optimization, 41 (2008), 135-145 (2008)
49. 49. Nguyễn Đông Yên, Jen-Chih Yao, Bùi Trọng Kiên, Covering properties at positive-order rates of multifunctions and some related topics, Journal of Mathematical Analysis and Applications, 338 (2008), 467-478 (2008)
50. 50. Bùi Trọng Kiên, M. M. Wong, On the Solution Stability of Variational Inequalities, Journal of Global Optimization, 39(2007), 101–111 (2007)
51. 51. Bùi Trọng Kiên, Ngai-Ching Wong, Jen-Chih Yao, On the solution existence of generalized quasivariational inequalities with discontinuous multifunctions, Journal of Optimization Theory and Application, 135(2007), no. 3, 515–530. (2007)
52. 52. Bùi Trọng Kiên, On the lower semicontinuity of optimal solution sets, Optimization 54(2005), 123-130 (2005)
53. 53. Bùi Trọng Kiên, Solution Sensitivity of Generalized Variational Inequalities and Continuity of Metric Projections, Ph.D. Thesis, Institute of Mathematics, Hanoi, Vietnam, 2003 (in Vietnamese) (2003)
54. 54. Bùi Trọng Kiên, Holder continuity of solutions to a parametric problem of the calculus of variations, Nonlinear Analysis Forum 8 (2003), no. 2, 123–136 (2003)
55. 55. Bùi Trọng Kiên, Solution sensitivity of a generalized variational inequality, Vietnam J. Math., 29 (2001), no. 2, 97–113. (2002)
56. 56. Bùi Trọng Kiên, The normalized duality mapping and two related characteristic properties of a uniformly convex Banach space, Acta Mathematica Vietnamica 27 (2002), no. 1, 53–67 (2002)
57. 57. Bùi Trọng Kiên, On the metric projection onto a family of closed convex sets in a uniformly convex Banach space, Nonlinear Analysis Forum 7 (2002), no. 1, 93–102 (2002)

Tiền ấn phẩm

1. 1. Bùi Trọng Kiên, Huỳnh Khanh, On space-time FEM for time-optimal control problems governed by parabolic equations with mixed and endpoints constraints, submitted (2025)
2. 2. Bùi Trọng Kiên, Samir Adly, KKT optimality conditions of second-order for multiobjective optimal control problems with endpoint and mixed constraints, submitted (2024)

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Seminar

1. Quỹ đạo tối ưu của tên lửa
2. Second-order optimality conditions for mathematical programming problems and optimal control problems