Academic Degrees:
Postdoctoral fellow(2001.7—2003.6): School of Mathematics and Statistics, Wuhan University, Wuhan, China;
PhD(1998.9—2001.6): College of Mathematics and Econometrics, Hunan University, Changsha, China;
Bachelor(1982.9—1986.6): School of Mathematics and Statistics, Central China Normal University, Wuhan, China.
Professional Experience:
Professor(2002.1-- present): School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, China;
Professor(2000.1--2001.12): School of Mathematics and Statistics, Hubei Normal University, Huangshi, China;
Associate Professor (1996.1—1999.12); School of Mathematics and Statistics, Hubei Normal University, Huangshi, China;
Lecturer (1993.1—1995.12): School of Mathematics and Statistics, Hubei Normal University, Huangshi, China;
Lecturer (1986.7—1992.12): Department of Mathematics, Huanggang Normal College, Huanggang, China;
Selected Publications:
2017
69. Lei Zhang and B. Liu, On the Cauchy problem for a class of shallow water wave equations with (k+1)-order nonlinearities, J. Math. Anal. Appl. 445(2017), 151-185.
68. Huili Xiang and B. Liu, Global existence and uniqueness of positive solutions and optimal control for a novel model of pest control, International Journal of Control 90:3(2017), 627-639.
67. Heping Ma and B. Liu, Infinite horizon optimal control problem of mean-field backward stochastic delay differential equation under partial information, European Journal of Control 36 (2017), 43–50.
66. Heping Ma and B. Liu, Linear-quadratic optimal control problem for partially observed forward-backward stochastic differential equations of mean-field type, Asian Journal of Control 19:1(2017), 1-12.
65. Hui Jian and Bin Liu，A random dispersion Schrodinger equation with nonlinear time-dependent loss/gain , Bull. Korean Math. Soc. 54:4 (2017), 1195–1219.
64. Huili Xiang，Bin Liu and Zuxiong Li, Verification theory and approximate optimal harvesting strategy for a stochastic competitive ecosystem subject to Levy noise, J. Dyn. Control Syst. 23:4(2017), 753–777.
63. Heping Ma and B. Liu, Exact controllability and continuous dependence of fractional neutral integro-differential equations with state-dependent delay, Acta Mathematica Scientia 37B:1(2017), 235–258.
2016
62. Heping Ma and B. Liu, Maximum principle for partially observe drisk-sensitive optimal control problems of mean-field type, European Journal of Control 32(2016), 16–23.
2015
61. Lei Zhang and B. Liu, Optimal distributed controls of a class of nonlinear dispersive equations with cubic nonlinearity, Nonlinear Analysis 122 (2015), 23–42.
60. Lei Zhang and B. Liu, Optimal control problem for an ecosystem with two competing preysand one predator, Journal of Mathematical Analysis and Applications, 424(2015), 201-220.
59. Hui Jian, B. Liu and Song fa Xie, Monotone iterative solutions for nonlinear fractional differential systems with deviating arguments, Applied Mathematics and Computation 262 (2015), 1–14.
58. Lei Zhang and B. Liu, State-constrained optimal control problems governed by coupled nonlinear wave equations with memory , International Journal of Control,88:6(2015), 1174-1188.
57. Ruijing Li and B. Liu, Necessary and sufficient near-optimal conditions for mean-field singular stochastic controls, Asian Journal of control, 17:4(2015), 1-13.
56. Lei Zhang and B. Liu, Optimal control of the viscous weakly dispersive Benjamin-Bona-Mahony equation, Bull. Korean Math. Soc. 52:4(2015), 1185–1199.
55. Huili xiang and B. Liu, Solving the inverse problem of an SIS epidemic reaction–diffusion model by optimal control methods, Computers and Mathematics with Applications 70 (2015) 805–819.
2014
54. Ruijing Li and B. Liu, A maximum principle for fully coupled stochastic control systems of mean-field type, Journal of Mathematical Analysis and Applications, 415(2014), 902-930.
53. Jinlong Wei and B. Liu, Existence and uniqueness of weak solutions to Ginzburg-Landau equation with external noise and stochastic perturbation, Journal of Mathematical Analysis and Applications, 420(2014), 1500-1532.
52. Yu Shi and B. Liu, Fokker-Planck equation for Kolmogorov operators associated to stochastic PDE with multiplicative noise, Advances in Difference Equation , 222(2014), 1-19.
51. Zufeng Zhang and B. Liu, Controllability results for fractional functional differential equations with nondense domain, Numerical Functional Analysis and Optimizition, 35:4(2014), 443-460.
2013
50. Chaozhu Hu, B. Liu and Songfa Xie, Monotone iterative solutions for nonlinear boundary value problems of fractional differential equation with deviating arguments, Applied Mathematics and Computation, 222(2013), 72-81. 50. Chaozhu Hu, B. Liu and Songfa Xie, Monotone iterative solutions for nonlinear boundary value problems of fractional differential equation, Abstract and Applied Analysis, 2013(2013), 1-8.
49. Huaiqiang Yu and B. Liu， Optimal control of backward stochastic heat equation with，Stochastics， 85:3（2013），532-558.
48. Jinlong Wei and B. Liu，Lp-solutions of Fokker–Planck equations，Nonlinear Analysis 85 (2013) 110–124
47. Weifeng Wang and B. Liu, Second-order Taylor expansion for backward doubly stochastic control system, International Journal of Control, 86:5（2013），942-952
46. Weifeng Wang and B. Liu, Necessary contidions for backward doubly stochastic control system, Electronic Journal of Mathematical Analysis and Applications, 1：2（ 2013）, 260-272.
2012
45. Jianjun Zhou and B. Liu, The existence and uniqueness of the solution for nonlinear Kolmogorov equations, Journal of Differential Equations, 253:11(2012), 2873-2915
44. Zufeng Zhang and B. Liu, Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions, Journal of Applied Mathematics, 2012,1-19.
43. Zufeng Zhang and B. Liu, A Note on Impulsive Fractional Evolution Equations with Nondense Domain, Abstract and Applied Analysis, 2012,1-13.
42. Zufeng Zhang and B. Liu, Existence of mild solutions for fractional evolution equations, Journal of Fractional Calculus and Applications, 2:10(2012),1-10.
41. Huaiqiang Yu and B. Liu，Optimality conditions for stochastic boundary control problems governed by semilinear parabolic equations, Journal of Mathematical Analysis and Applications,395(2012),654-672.
40. Weifeng Wang and B. Liu，A maximum principle for optimal control system with endpoint constraints, Journal of Inequalities and Applications 2012, 2012.
39. Huaiqiang Yu and B. Liu，Pontragin’s principle for local solutions of optimal control governed by the 2D Navier-Stokes equations with mixed control-state constraints, Mathematical Control and Related Fields, 2:1(2012), 61-80.
2011
38. Huaiqiang Yu and B. Liu, Properties of value function and existence of viscosity solution of HJB equation for stochastic boundary control problems, Journal of the Franklin Institute, 348(2011),2108-2127
37. Hanwen Ning and B. Liu, Existence results for impulsive neutral stochastic evolution inclusions in Hilbert space, Acta Mathematica Sinica, 27:7(2011),1405—1418.
2010
36．Hanwen Ning and B. Liu, Existence and controllability results for infinite delay partial functional differential systems with multi-valued impulses in Banach spaces，Asian-European Journal of Mathematics 3:4(2010), 633-648.
35． Jianjun Zhou and B. Liu, Optimal control problem for stochastic evolution equations in Hilbert spaces, International Journal of Control, 83:9(2010),1771-1784.
2009
34. Hanwen Ning and B. Liu, Local existence uniqueness and continuation of solutions for delay stochastic evolution equations, Applicable Analysis, 88:4(2009), 563-577.
33. Guosheng Yu and B. Liu, On exponential stability for stochastic delay partial differential equations, Stochastics and Dynamics, 9:1(2009), 121-134. 2008
32. Yong Li and B. Liu, Boundary controllability of nonlinear stochastic differential inclusions, Applicable Analysis, 87:6(2008), 709-722.
31. Yong Li and B. Liu, Periodic solutions of dissipative neutral differential systems with singular potential and p-Laplacian, Studia Scientiarum Mathematicarum Hungarica, 45:2(2008), 251-271.
2007
30. B. Liu, Positive solutions of generalized Sturm-Liouville four-point boundary value problems with change of sign in Banach spaces, Nonlinear Analysis , 66(2007), 1661-1674.
29. B. Liu, Zhiliang Zhao, A note on multi-point boundary value problems, Nonlinear Analysis , 67(2007), 2680-2689.
28. B. Liu, Xiaogui Yao, Positive solutions of nonlinear four-point boundary value problems in Banach spaces, Far East Journal of Dynamical Systems, 9:2(2007), 193-210
27. Yong Li and B. Liu, Existence of solution of nonlinear neutral stochastic differential inclusions with infinite delay, Stochastic Analysis and Applications , 25:2(2007),397-415
2006
26. B. Liu, Positive solutions of second order three-point boundary value problems with change of sign in Banach spaces, Nonlinear Analysis , 64(2006), 1336-1355.
2005
25. B. Liu, Controllability of impulsive neutral functional differential inclusions with infinite delay, Nonlinear Analysis , 60(2005), 1533-1552.
24. B. Liu, Positive solutions of a nonlinear four- point boundary value problems in Banach spaces, J. Math. Anal. Appl. , 305(2005),253-276.
23. B. Liu, Periodic solutions of a nonlinear second-order differential equations with deviating argument, J. Math. Anal. Appl. , 309(2005),313-323.
2004
22. B. Liu, Controllability of neutral functional differential and integrodifferential inclusions with infinite delay, J. Optimiz.Theory Appl., 123:3(2004), 573-593.
21. B. Liu, Controllability of nonlinear neutral evolution integrodifferential systems with infinite delay, J. Optimiz.Theory Appl. , 122:1(2004), 87-109.
20. B. Liu, Existence and uniqueness of solutions to first-order multipoint boundary value problems, Appl. Math. Lett. , 17(2004), 1307-1316.
19. B. Liu, Positive solutions of three- point boundary value problems for the one-dimensional p-Laplacian with infinitely many singularities, Appl. Math. Lett. , 17(2004), 655-661.
18. B. Liu, Positive solutions of singular three- point boundary value problems for the one-dimensional p-Laplacian, Comput. Math. Appl., 48(2004),913-925.
17. B. Liu, Existence and uniqueness of solutions for nonlocal boundary value problems of ordinary differential systems with higher order, Comput. Math. Appl.,48(2004),841-851.
16. B. Liu, Positive solutions of second-order three- point boundary value problems with change of sign, Comput. Math. Appl., 47(2004), 1351-1361.
15. B. Liu, Positive solutions of a nonlinear four- point boundary value problems, Appl. Math. Comput.,155(2004),179-203.
14. B. Liu, A note on a nonlocal boundary value problems, Appl. Math. Comput.,154(2004),871-880.
13. B. Liu, Positive solutions of a fourth-order two point boundary value problems, Appl. Math. Comput.,148(2004),407-420.
2003
12. B. Liu, Solvability of multi-point boundary value problem at resonance (IV), Appl. Math. Comput.,143(2003),275-299.
11. B. Liu, Positive periodic solution for a nonautonomous delay differential equation, Acta Math.Appl.Sinica 2(2003),307-316
10. B. Liu, Solvability of multi-point boundary value problem at resonance (II), Appl. Math. Comput.,136(2003),353-377.
2002
9. B. Liu and Jianshe Yu, Note on third-order boundary value problem for differential equations with deviating arguments, Appl. Math. Lett. 3(2002), 371-379.
8. B. Liu, Positive solutions of a nonlinear three-point boundary value problems, Comput. Math. Appl., 44(2002), 201-211.
7. B. Liu, Periodic solutions of dissipative dynamical systems with singular potential and p-Laplacian, Ann. Polonici Math.，2（2002）,109-120.
6. B. Liu and Jianshe Yu, Solvability of multi-point boundary value problem at resonance (I), Indian J. Pure. Appl. Math., 33(2002), 475-494.
5. B. Liu, Positive solutions of a nonlinear three-point boundary value problems, Appl. Math. Comput.,132(2002),11-28.
4. B. Liu and Jianshe Yu, Solvability of multi-point boundary value problem at resonance (III), Appl. Math. Comput., 129(2002),119-143. 3. B. Liu and Jianshe Yu, Existence of solution for m-point BVP of second order differential systems with impulses, Appl. Math. Comput.,125(2002),155-175.
2. B. Liu, Existence of three-solutions for second-order differential equations boundary value problem, Appl. Math. J. Chinese Univ.B, 2(2002),135-144
1. B. Liu and Jianshe Yu, Boundary value problem for a generalized Lienard equation, Appl. Math. J. Chinese Univ.Ser.B.1(2002),31-38
Awards:
1. 2008：Baosteel Excellent Teacher Award ;
2. 2009：Huazhong University of Science and Technology Teaching Master Award ;
3. 2010：Huazhong University of Science and Technology's "three educating people" Award ;
4. 2012—Present: Specially invite professor of central China scholar at Huazhong University of Science and Technology;
5. 2013: The first prize of teaching achievement in higher education institutions of Hubei province ;
6. 2013: The sixth Qin Yuanxun prize in Mathematics ;
7. 2016: Special allowance of the government of the State Council
Courses Taught
1. Undergraduate C0urses:
Mathematical Analysis; Ordinary Differential Equations;
2. Master and Doctoral degree C0urses:
Nonlinear Functional Analysis; Functional Differential Equations;
Basic Theory of Optimal Control
Project
1. National Natural Science Foundation of China：11571126,Some Problems for Optimal Control of Stochastic Delay Differential-Algebraic Systems, 2016/01—2019/12.
2. National Natural Science Foundation of China：11171122, Some Problems for the Optimal Control of Delay - Developed Stochastic Equations, 2012/01—2015/12.
3. National Natural Science Foundation of China：10871077, Controllability of Stochastic Partial Functional Differential Systems, 2008/01—2011/12.
Chinese