Bui Trong Kien

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Scientific CV

Scientific Publications

Publications

1. 1. Bui Trong Kien, From Nonlinear and Variational Analysis to Optimal Control Problems, Habilitation doctor thesis, Universite' de Limoges, France, 2026. (2026)
2. 2. Huynh Khanh, Bui Trong Kien, 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. Huynh Khanh, Bui Trong Kien, 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. Bui Trong Kien, 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, Bui Trong Kien, Nguyen Hai Son, Local stability of solutions to a parametric multi-objective optimal control problem, Optimization, Volume 73, 2024, Pages 2247-2275 (2024)
6. 6. Huynh Khanh, Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, Arnd Rösch, Nguyen Hai Son, Ngueyn Van Tuyen, 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. Bui Trong Kien, Nguyen Quoc Tuan, 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, Bui Trong Kien, 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. Bui Trong Kien, V. E. Fedorov, Ta Duy Phuong, 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. Bui Trong Kien, 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, Bui Trong Kien, Distributed control for semi-linear equations with Gerasimove- Caputo derivatives, CBΦY Mathematical, 28 (20221), 2 (2021)
14. 14. Bui Trong Kien, Nguyen Thi Thu Huong, 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. Bui Trong Kien, Nguyen Quoc Tuan, 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. Bui Trong Kien, 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, Ta Duy Phuong, Bui Trong Kien, 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. Nguyen Quang Huy, Bui Trong Kien, Gue Myung Lee, Ngueyn Van Tuyen, Second order optimality conditions for multiobjective optimization problems with constraints, Linear Nonlinear Analysis, 5(2019), No. 2, 237–253 (2019)
19. 19. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, Ngueyn Van Tuyen, 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. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, Vu Huu Nhu, Nguyen Hai Son, 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. Nguyen Hai Son, Bui Trong Kien, 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. Nguyen Huy Chieu, Bui Trong Kien, Nguyen Thi Toan, 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. Bui Trong Kien, Gue Myung Lee, Nguyen Hai Son, 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. Bui Trong Kien, Vu Huu Nhu, 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. Bui Trong Kien, Vu Huu Nhu, 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. Bui Trong Kien, Vu Huu Nhu, 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. Vu Huu Nhu, N. H. Anh, Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, Nguyen Thi Toan, 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. Bui Trong Kien, 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. Nguyen Thi Toan, Bui Trong Kien, Continuity properties of the solution map to a parametric discrete optimal control problem, J. Nonl. Convex Anal., 12(2011), 635-650 (2011)
36. 36. Nguyen Thi Toan, Bui Trong Kien, Subgradients of the value function to a parametric optimal control problem, Set-Valued and Variational Analysis, 18 (2010), 183–203. (2010)
37. 37. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, Nguyen 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. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, Jen-Chih Yao, Nguyen Dong Yen, On the solution existence of pseudomonotone variational inequalities, Journal of Global Optimization, 41 (2008), 135-145 (2008)
49. 49. Nguyen Dong Yen, Jen-Chih Yao, Bui Trong Kien, 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. Bui Trong Kien, M. M. Wong, On the Solution Stability of Variational Inequalities, Journal of Global Optimization, 39(2007), 101–111 (2007)
51. 51. Bui Trong Kien, 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. Bui Trong Kien, On the lower semicontinuity of optimal solution sets, Optimization 54(2005), 123-130 (2005)
53. 53. Bui Trong Kien, 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. Bui Trong Kien, 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. Bui Trong Kien, Solution sensitivity of a generalized variational inequality, Vietnam J. Math., 29 (2001), no. 2, 97–113. (2002)
56. 56. Bui Trong Kien, 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. Bui Trong Kien, 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)

Preprints

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

Scientific Activities

Seminar

1. Optimal Trajectories of Rockets
2. Second-order optimality conditions for mathematical programming problems and optimal control problems