姓名
刘振海
职称
教授
学位
博士

Email
zhhliu100@126.com
电话


通信地址
广西民族大学理学院
邮编
530006

研究方向
非线性偏微分方程、分数阶微分方程、（偏）微分方程的能空性和控制理论、复杂系统的建模与控制、数学生态学模型、工程与管理优化、博弈与均衡理论与算法

兴趣爱好
游泳、打乒乓球、旅游

主讲课程/工作岗位：
二阶椭圆形方程、常微分方程、实变函数论、抽象空间中的微分方程、分数阶微分方程理论、线性算子半群等

学术责任与荣誉：
湖南省新世纪121人才工程第一层次人选；
享受国务院“政府特殊津贴”的专家；
电力部跨世纪学术和技术带头人培养对象；
2014年度广西自然科学奖二等奖（排名第一）《非线性偏微分方程的若干问题研究》（2015-2）
2009年度湖南省自然科学奖二等奖（排名第一）《偏微分不等式及其相关问题》；（2009-19）
2003年 湖南省科技进步奖三等奖（排名第一）；《H-半变分不等式理论与应用》（2003-01）
2000年 湖南省先进工作者；
1999年曾宪梓教育基金会优秀奖三等奖。
美国《数学评论》特约评论员
2015年广西特聘专家

自我介绍：
刘振海，1994年匈牙利科学院博士，2005.01-2009.12中南大学****（升华****）2009年调入广西民族大学，现任数学与物理学院教授，优化控制与工程计算重点实验室主任。

热烈欢迎有志青年报考我的研究生：
博士导师刘振海，在南京理工大学理学院担任博士生导师，报考的研究方向：1. 应用偏微分方程； 2.分数阶微分方程；3.非线性分析方向的博士生。已毕业博士16人、在读博士生3人。
硕士导师刘振海，在广西民族大学理学院担任硕士导师，报考专业： 1. 应用数学； 2.计算数学，这两个硕士点招收硕士生。

主要学术交流：
2020年1月至2月香港城市大学，学术访问教授（罗涛教授）
2019年7月3日至8月15日台湾国立中山大学，学术访问教授（Yao J-C教授）
2018年6月至7月底意大利摩德纳·勒佐艾米利亚大学 学术访问教授（L. Malaguti 教授）
2018年4月15日至5月15日台湾高雄医药大学学术访问教授（Wen Q-F教授）
2018年1月至2月香港城市大学，学术访问教授（罗涛教授）
2017年8月至9月波兰Jagiellonian大学，学术访问教授（Migorski教授）
2017年8月至9月意大利摩德纳·勒佐艾米利亚大学学术访问教授（L.Malaguti 教授）
2017年3月初至3月底智利圣玛利亚技术大学数学系，学术访问教授(Ivan Szanto教授)
2016年10月至11月澳大利亚新威尔士大学，学术访问教授(C.Tisdell教授)
2016年5月至6月香港中文大学数学研究所，学术访问教授(辛周平教授)
2015年8月至9月波兰Jagiellonian大学，学术访问教授（访问Migorski教授）
2015年6月至7月法国Perpignan大学，学术访问教授（访问Sofonea教授）
2014年5月至6月法国Perpignan大学，学术访问教授（访问Sofonea教授）
2014年3月至4月波兰Jagiellonian大学，学术访问教授（访问Migorski教授）
2013年2月至3月香港中文大学数学研究所，学术访问教授(访问辛周平教授)
2011年1月至3月香港中文大学数学研究所，学术访问教授(访问辛周平教授)
2008年11月至12月香港中文大学数学研究所，学术访问教授(访问辛周平教授)
2008年6月一个月俄罗斯Kazan大学数学研究院，学术访问(访问I.Konnov教授)
2007年6月至7月复旦大学数学院,访问教授;学术访问(访问程晋教授)
2007年3月至5月香港中文大学数学研究所，学术访问(访问辛周平教授)
2006年5月至8月土耳其”Kocaeli”大学，学术访问(访问Hasanov教授)
2006年2月至3月香港中文大学数学研究所，学术访问(访问辛周平教授)
2003年10月2004年3月以色列工程技术学院，学术访问(访问A.Ioffe教授)
2003年9月至10月俄罗斯科学院西伯利亚分院，学术访问(访问A.A.Tolstonogov教授)
2001年7月至9月中科院应用数学研究所，学术访问(访问丁夏畦院士)
1999年9月至2000年3月英国“牛津”大学，学术访问(访问J.Ball教授)

在研主要项目：
1. 主持《偏微分变分不等式及其应用》国家自然科学基金面上项目 (50万元), (批准号：**, 2017.1--2020.12);
2. 主持《非局部偏微分变分不等式及其在接触力学中的应用》广西自然科学基金重点项目（35万元），（批准号：2018GXNSFDA138002， 2018.7-2022.6）；
3. 参与（主研人员）《非光滑接触动力学》， 欧盟国际科研基金会《地平线2020框架方案》资助，（64.4万欧元，自2018年7月1日起，至2022年6月30日止。No.H2020-MSCA-RISE-2018-823731。《NONSMOOTH CONTACT DYNAMICS》，the Marie Curie International Research Staff Exchange Scheme Fellowship within European Community Framework Programme ( 64.4000EUR, July 1, 2018 to June 30, 2022, Grant Agreement No. H2020-MSCA-RISE-2018-823731)

已完成项目：
4. 主持《H-半变分不等式的非线性扰动与分数阶问题》国家自然科学基金面上项目 (70万元), (批准号：**, 2013.1--2016.12);
5. 主持《H-半变分不等式分布参数系统辨识与最优控制问题》国家自然科学基金项目 (44万元), (批准号：**, 2013.1--2016.12);
6. 主持《非线性H-半变分不等式的最优控制问题研究》广西自然科学基金重点项目（30万元）,（批准号：2014GXNSFDA118002， 2014.6-2017.5）；
7. 参与（主研人员）：《Nonsmooth Systems in Mathematical Theory of Contact Mechanics》， the “Maestro Advanced Project” to the National Science Center in Poland. (440,000 Euro, April 18, 2013 to April 17, 2018). 《接触力学数学理论中的非光滑动力系统研究》波兰国家科学中心“迈斯卓研究计划”，资助金额44 万欧元，自2013 年4 月18 日起，至2018 年4 月17 日止。No. ：UMO-2012/06/A/ST1/00262。
8. 参与（主研人员）：《“Nonlinear Inclusions, Hemivariational Inequalities with Applications to Contact Mechanics》，Research Executive Agency in Brussels, Belgium for the Marie Curie International Research Staff Exchange Scheme Fellowship within the 7th European Community Framework Programme ( 176,400 Euro , April 1, 2012 to April 1, 2016.Grant Agreement No. PIRSES-GA-2011-295118). 《非线性包含、H-变分不等式在接触力学中的应用》， 欧盟第七框架计划“居里夫人国际科研基金会”资助，（176,400欧元，自2012年4月1日起，至2016年4月1日止。No.PIRSES-GA-2011-29511。
9. 主持《国内外理科研究生的创新培养模式研究》广西研究生教育创新计划资助项目（6万元），（批准号：JGY**，2014.1-2015.12）；
10. 主持（已结题）《控制与优化中的数学方法及其应用》国家自然科学基金中俄国际合作项目（9万元），（批准号：**，2012.1～2013.12.）
11. 主持（已结题）《H-半变分不等式理论中的若干新问题》国家自然科学基金面上项目 (26万元), (批准号：**, 2010.1--2012.12);
12. 主持（已结题）《非线性H-半变分不等式及其相关问题研究》广西自然科学基金项目（4万元），（批准号：2010GXNSFA013114，2010.3-2013.3）；
13. 主持（已结题）《接触问题中的H-半变分不等式研究》广西教育厅重点项目 （3万元），（批准号：No.201012MS067，2010.1-2012.12）；
14. 主持（已结题）《优化与控制中的数学方法及其应用》中国科技部国际合作项目（资助双方访问所需费用）（批准号：NoCR14-16，2010.1-2011.12）；
15. 主持（已结题）《非线性发展型H-半变分不等式及其应用》(22万元), 国家自然科学基金面上项目(批准号：**, 2007.1--2009.12);
16. 主持（已结题）《非单调变分不等式的解法研究》（9万元），国家自然科学基金中俄国际合作项目（批准号：，2008.1-2009.12）；
17. 主持（已结题）《随机非线性发展方程与随机动力系统》（2万元）国家自然科学基金国际合作项目（批准号：，2008.9-2009.12）
18. 主持（已结题）《不适定问题的迭代正则化方法及其应用》（2万元），湖南省自然科学基金项目（批准号：07JJ3005，2008.1-2009.12）；
19. 主持（已结题）《数学物理反问题的研究》（60万元），中南大学“升华****”启动基金项目（2005.1-2009.12）
20. 主持（已结题）《H-半变分不等式控制系统的优化与识别》（5万元） 湖南省自然科学基金重点项目 (No.05JJ20003, 2004.1.-2006.12.)
21. 主持 （已结题）《H-半变分不等式的理论与应用》（13万元）国家自然科学基金面上项目（No.**，2002.1.-2004.12.）
22. 主持（已结题）《发展型控制系统的优化与识别及其对H-半变分不等式的应用》（9万元） 国家自然科学基金中俄国际合作项目 (No.,2003.1-2004.12)。
23. 主持 （已结题）《非线性科学中的H-半变分不等式》（5万元） 教育部科学技术重点项目(No.01084， 2001.1.-2003.12.)
24. 主持（已结题）《非线性科学中的H-半变分不等式》（3万元）（No.01A025，2001.1.-2003.12.）湖南省教育厅科研重点项目
25. 主持（已结题）《非线性发展型偏微分方程》（3万元）（1996.1—1997.12） 教育部回国留学人员基金。
26. 主持（已结题）《最优控制系统的微分方程理论及其在电力系统的应用》（1万元）（1995.1—1996.12） 中华电力教育基金。
27. 主持（已结题）《非线性发展型H-半变分不等式》（2万元） （1995.1—1996.12）湖南省自然科学基金

主要论文/专著(2008-今）：
2020发表论文（5篇）

1. Liu ZH, Livrea R, Motreanu D, Zeng SD, Variational differential inclusions without ellipticity condition, Electronic Journal of Qualitative Theory of Differential Equations, 43(2020),1-17.
2. Liu ZH, Sofonea M.,Xiao Y.,Tykhonov well-posedness of a frictionless unilateral contact problem, Mathematics and Mechanics of Solids, 25(6)(2020), 1294-1311.
3. Zhang ZY, Liu ZH, Deng YJ, Huang CX, Lin SY, Zhu W, Global well-posedness and infinite propagation speed for the N-abc family of Camassa-Holm type equation with both dissipation and dispersion, J. Math.Phys. 61(2020),071502,pp9.
4. Migórski S., Liu ZH, Zeng S. A class of history dependent differential variational inequalities with application to contact problems, Optimization，69(4)(2020),743-775.
5. Su G., Lu L.,Tang B., Liu ZH, Quasilinearization technique for solving nonlinear Riemann-Liouville fractional-order problems, Applied Mathematics and Computation 378 (2020) 125199 ,1-9.

2019发表论文（15篇）

6. Liu ZH, Motreanu D., Zeng S.D., Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient, Calc. Var.PDE (2019) 58:28,1-33.
7. Liu ZH, Sofonea M, Differential quasivariational inequalities in contact mechanics, Mathematics and Mechanics of Solids, 24(3) (2019) 845- 861.
8. Liu ZH， Migórski S， Zeng B.， Existence Results and Optimal Control for a Class of Quasi Mixed Equilibrium Problems Involving the ( f, g, h)-Quasimonotonicity, Appl Math Optim. 79(2019) 257-277.
9. Li X.W., Liu ZH, Li J. Tisdell Chris, Existence And Controllability For Nonlinear Fractional Control Systems With Damping in Hilbert Spaces， Acta Mathematica Scientia,39(1)(2019), 229-242.
10. Liu YJ, Liu ZH, Wen CF, Existence of solutions for space-fractional parabolic hemivariational inequalities, Discrete and continuous dynamical systems series B, 24(3)(2019), 1297-1307.
11. Lu L., Liu ZH, Motreanu D.,Existence results of semilinear differential variational inequalities without compactness, Optimization, 68(5) 2019, 1017–1035.
12. Bin MJ, Liu ZH,Relaxation in nonconvex optimal control for nonlinear evolution hemivariational inequalities, Nonlinear Analysis: Real World Applications 50 (2019) 613-632.
13. Bin MJ, Liu ZH, On the “bang-bang” principle for nonlinear evolution hemivariational inequalities control systems, J. Math. Anal. Appl. 480 (2019) 123364.1-21.
14. Zhang Z, Liu ZH, Sun M,Li S., Low Regularity for the Higher Order Nonlinear Dispersive Equation in Sobolev Spaces of Negative Index, J. Dyn. Diff. Equat. 31(2019),419–433
15. Lu L.,Liu ZH, Obukhovskii V., Second order differential variational inequalities involving anti-periodic boundary value conditions, J. Math. Anal. Appl. 473(2019)846-865.
16. Zeng B, Liu ZH, Existence results for impulsive feedback control systems, Nonlinear Analysis: Hybrid Systems, 33 (2019) 1-16.
17. Huang Y., Liu ZH, Wen C-F, Approximate controllability for fractional semilinear parabolic equations, Computers and Mathematics with Applications, 77 (2019) 2971-2979.
18. Huang Y, Liu ZH, Controllability of nonlinear impulsive integro- differential fractional time-invariant systems, Journal of Integral equations and applications, 31(3) (2019),329-341.
19. Tisdell C, Liu YJ, Liu ZH, Existence of solutions to discrete and continuous second-order boundary value problems via Lyapunov functions and a priori bounds, Electronic Journal of Qualitative Theory of Differential Equations, 42(2019), 1–11.
20. Zhao J,Liang YS, Liu ZH, Strong Convergent Iterative Techniques for 2-generalized Hybrid Mappings and Split Equilibrium Problems, Filomat 33:18 (2019), 5851–5862

2018发表论文（15篇）

21. Liu ZH, Zeng SD, Motreanu D., Partial differential hemivariational inequalities, Advances in Nonlinear Analysis, 7 (4)(2018),571-586.
22. Liu ZH, Motreanu D. Zeng SD, Nonlinear evolutionary systems driven by mixed variational inequalities and its applications, Nonlinear Analysis: Real World Applications, 42(2018) 409-421.
23. Liu ZH, D. Motreanu D, Zeng SD, Nonlinear Evolutionary Systems Driven by Quasi-Hemivariational Inequalities, Math. Meth. Appl. Sci., 41(2018) 1214–1229.
24. Liu ZH, Motreanu D., Zeng SD, On the well-posedness of differential mixed quasi-variational-inequalities, Topological Methods in Nonlinear Analysis, 51(1) 2018, 135-150.
25. Liu ZH, Motreanu D., Inclusion problems via subsolution-supersolution method with applications to hemivariational inequalities, Applicable Analysis, 97(8)(2018),1454-1465.
26. Liu ZH, Li XM, Zeng B, Optimal feedback control for fractional neutral dynamical systems, Optimization, 67(5)(2018), 549–564.
27. Li XW, Liu ZH, Sensitivity analysis of optimal control problems described by differential hemivariational inequalities, SIAM J. Comtrol Optim. 56(5)(2018), 3569-3597.
28. Zeng SD, Liu ZH and Migorski S, A class of fractional differential hemivariational inequalities with application to contact problem, Z. Angew. Math. Phys. 69(2018),no. 2,69:36.,1-36.
29. Lu L., Liu ZH, Zhao J., A class of delay evolution hemivariational inequalities and optimal feedback controls, Topological Methods in Nonlinear Analysis, 51(1) 2018, 1-22.
30. Zeng B, Liu ZH and Migorski S, On convergence of solutions to variational–hemivariational inequalities, Z. Angew. Math. Phys. (2018), 69:87.,1-20.
31. Zeng, SD; Liu, ZH; Migórski, S.;Positive solutions to nonlinear nonhomogeneous inclusion problems with dependence on the gradient.J. Math. Anal. Appl.463(2018),432–448.
32. Zhang ZY, Liu ZH, Sun MB and Li SH, Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy Space, Applicable Analysis, 97(15)(2018), 2655–2685.
33. Tang B, Zhao J, Liu ZH, Monotone iterative method for two-point fractional boundary value problems, Advances in Difference Equations, (2018) 2018:182 , https://doi.org/10.1186/s13662-018-1632-9.
34. Bartosz K.,Gasiński L., Liu ZH, Szafraniec P., Convergence of a Time Discretization for a Nonlinear Second-Order Inclusion, Proceedings of the Edinburgh MathematicalSociety, Proc. Edinb. Math. Soc. (2)61(2018),no. 1,93–120.
35. 张石生，刘振海，温庆丰，唐金芳，与渐进非扩张半群不定点问题有关的分裂变分包含问题及其对最优化问题的应用，数学物理学报，38A(2) (2018),231-243.

2017发表论文（10篇）
36. Liu ZH, Migorski S, Zeng SD, Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces, Journal of Differential Equations, 263（7）(2017),3989–4006.
37. Liu ZH, Migórski S, Zeng B., Optimal feedback control and controllability for hyperbolic evolution inclusions of Clarke’s subdifferential type, Computers and Mathematics with Applications,74(12)(2017), 3183- 3194.
38. Liu ZH, Szanto I., Limit cycles and invariant centers for an extended kukles system, Miskolc Mathematical Notes, 18(2) (2017), 947–952.
39. Li XW, Liu ZH, Relaxation in nonconvex optimal control problems for nonautonomous fractional evolution equations, Journal of Nonlinear and Convex Analysis, 18(9) (2017), 1665-1684.
40. Li XW, Liu ZH, Tisdell C., Existence and exact controllability of fractional evolution inclusions with damping, Math. Meth. Appl. Sci.，40(12) (2017), 4548-4559.
41. Liu ZH, Tan JG, Nonlocal elliptic hemivariational inequalities, Electronic Journal of Qualitative Theory of Differential Equations, 66 (2017), 1–7.
42. Li X, Liu ZH, Tisdell C.C.,Approximate controllability of fractional control systems with time delay using the sequence method, Electronic Journal of DifferentialEquations, Vol. 2017 (2017), No. 272, pp. 1-11.
43. Liu ZH, Zeng SD, Differential variational inequalities in infinite Banach spaces, Acta Mathematica Scientia, 37B(1) (2017), 26-32.
44. Li XW,Liu ZH, Relaxation innonconvexoptimalcontrolproblemsfor nonautonomous Fractional evolution
equations, Pacific Journal of Optimization, 13(3)(2017), 443-462.
45. Tisdell C.C., Liu ZH and MacNamara S., Basic existence and uniqueness results for solutions to systems of nonlinear fractional differential equations, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 24 (2017) 181-193.

2016发表论文（9篇）
46. Liu ZH, Zeng SD, Motreanu D., Evolutionary problems driven by variational inequalities, Journal of Differential Equations, 260(2016) 6787-6799.
47. Liu ZH, Zeng SD, Bai YR, Maximum principles for multi-term space-time variable-order fractional diffusion equations and their applications, Fractional Calculus & Applied Analysis, 19(1)(2016) 188-211. （ESI高被引论文）
48. Liu ZH, Zeng SD, Equilibrium problems with generalized monotone mapping and its applications，Math. Meth. Appl. Sci. 2016, 39 152–163.
49. Liu ZH, Zeng SD, Zeng B, Well-posedness for mixed quasi-variational hemivariational inequalities, Topological Methods in Nonlinear Analysis, 47(2) (2016), 561–578
50. Liu ZH, Zeng B, Existence results for a class of hemivariational inequalities involving the stable (G,F,ɑ)-quasimonotonicity, Topological Methods in Nonlinear Analysis, 47(1) (2016), 195–217.
51. Lu L., Liu ZH, Bin MJ, Approximate controllability for stochastic evolution inclusions of Clarke’s subdifferential type, Applied Mathematics and Computation, 286(2016) 201-212.
52. Liu ZH, Liu Q, Persistence and extinction of a stochastic delay predator-prey model in a polluted environment, Math. Slovaca 66 (2016), No. 1, 95-106.
53. Huang Y, Lv JY, Liu ZH, Existence results for Riemann-Liouville fractional evolution inclusions, Miskolc Mathematical Notes, 17(1) (2016), 305-325.
54. Huang Y, Liu ZH, Wang R, Quasilinearization for higher order impulsive fractional differential equations, Appl. Comput. Math., 15(2) (2016), 159-171.

2015发表论文（17篇）
55. Liu ZH, Li XW, Motreanu D, Approximate Controllability for Nonlinear Evolution Hemivariational Inequalities in Hilbert Spaces, SIAM Journal on Control and Optimization, 53(5)(2015) 3228-3244.
56. Liu ZH, Li XW, Approximate controllability of fractional evolution systems with Riemann--Liouville fractional derivatives, SIAM Journal on Control and Optimization,53(4)(2015) 1920-1933.
57. Liu ZH, Li XW, Approximate controllability for a class of hemivariational inequalities, Nonlinear Analysis: Real World Applications, 22(2015) 581-591. （ESI高被引论文）
58. Liu ZH, Li XW, On The exact controllability of impulsive fractional semilinear functional differential inclusions, Asian Journal of Control, 17(5)(2015), 1857–1865.
59. Liu ZH, Zeng B., Optimal Control of Generalized Quasi-Variational Hemivariational Inequalities and Its Applications, Appl Math Optim, 72 (2015) 305-323.
60. Liu ZH, Zeng B., Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential type, Applied Mathematics and Computation, 257(2015)178-189.
61. Liu ZH, Tatar S, Ulusoy S, Zeki M, Structural stability for the Morris–Lecar neuron model, Applied Mathematics and Computation, 270(2015) 261-268.
62. Liu ZH, Lv JY, Existence results for impulsive nonlinear fractional differential equations with nonlocal boundary conditions, Mathematica Slovaca, 65(6)(2015), 1291-1308.
63. Li XW, Liu ZH, Migórski S. Approximate controllability for second order nonlinear evolution hemivariational inequalities，Electronic Journal of Qualitative Theory of Differential Equations, 2015,(100), 1–16; doi: 10.14232/ejqtde.2015.1.100
64. Gasi´nski L, Liu ZH, Migórski S, Ochal A, Peng Z, Hemivariational Inequality Approach to Evolutionary Constrained Problems on Star-Shaped Sets, J Optim Theory Appl (2015) 164:514–533.
65. Huang Y, Liu ZH, Migorski S., Elliptic Hemivariational Inequalities with Nonhomogeneous Neumann Boundary Conditions and Their Applications to Static Frictional Contact Problems, Acta Appl Math (2015) 138:153–170.
66. Huang Y, Liu ZH, Zeng B,Optimal control of feedback control systems governed by hemivariational inequalities, Computers and Mathematics with applications,70(8)(2015) 2125-2136.
67. Li XW, Liu ZH, The solvability and optimal controls of impulsive fractional semilinear differential equations, Taiwanese Journal of Mathematics, 19( 2) (2015), 433-453.
68. Loi NV, Liu ZH, Obukhovskii V, On an a bifurcation theorem with application to a parameterized integro-differential system, Fixed Point Theory, 16(1) (2015), 127-141.
69. Miao XJ, Liu ZH, Two dimensional determination of source terms in linear parabolic equation from the final overdetermination, Advances in Difference Equations, (2015) 2015:98,1-14.
70. Lu L., Liu ZH, Existence and controllability results for stochastic fractional evolution hemivariational inequalities, Applied Mathematics and Computation, 268(2015)1164-1176.
71. Xiao CE, Zeng B, Liu ZH, Feedback control for fractional impulsive evolution systems, Applied Mathematics and Computation, 268 (2015) 924–936.

2014发表论文（14篇）
72. Liu ZH, Bin MJ, Approximate controllability of impulsive Riemann- Liouville fractional equations in Banach spaces, Journal of Integral Equations and Applications, 26(4) (2014)527-551.
73. Liu ZH, Migorski S., Analysis and control of differential inclusions with anti-periodic conditions, Proceedings of the Royal Society of Edinburgh, 144A(3), (2014)591-602.
74. Liu ZH, Wang R., Quasilinearization method for fractional differential equations with delayed arguments,Applied Mathematics and Computation, 248(2014)301-308.
75. Liu ZH, Liang JT, Multiple Solutions of Nonlinear Boundary Value Problems for Fractional Differential Equations, Bull. Malays. Math. Sci. Soc. (2) 37(1) (2014), 239–248.
76. Liu ZH,Lu PF, Stability analysis for HIV infection of CD4+ T-cells by a fractional differential time-delay model with cure rate, Advances in Difference Equations 2014, 2014:298,1-20.
77. Liu ZH, Liu Q, Persistence and extinction of a stochastic delay predator-prey model under regime switching, Applications of Mathematics, 59(3), (2014) 331–343.
78. Liu ZH, Wang R. Zhao J., Quasilinearization for fractional differential equations of Riemann-Liouville type, Miskolc Mathematical Notes, 15 (1)(2014), pp. 141–151.
79. Liu ZH, J. Y. Lv, R. Sakthivel, Approximate controllability of fractional functional evolution inclusions with delay in Hilbert spaces, IMA Journal of Mathematical Control and Information, 31(3), (2014), 363-383.
80. Liu XY, Liu ZH, Fu X., Relaxation in nonconvex optimal control problems described by fractional differential equations, Journal of Mathematical Analysis and Applications, 409(1), (2014), 446-458. IDS号：225PL, ISSN:0022-247X. （ESI高被引论文）
81. Liu XY, Liu ZH, On the ‘bang-bang’ principle for a class of fractional semilinear evolution inclusions, Proceedings of the Royal Society of Edinburgh,144A(2), (2014)333-349.
82. Liu XY, Liu ZH, Relaxation control for a class of evolution hemivariational inequalities, Israel Journal of Mathematics, 202 (2014), 35–58.
83. Liu XH, Liu ZH, Bin MJ, Approximate controllability of impulsive fractional neutral evolution equations with Riemann-Liouville fractional derivatives, J. Computational Analysis and Applications, 17(3), 2014, 467-485.
84. Liu, XH; Liu ZH; Bin, MJ, The Solvability and Optimal Controls for Some Fractional Impulsive Equations of Order 1 < alpha < 2, Abstract and Applied Analysis, Volume 2014(2014), Article ID 142067, 9 pages.
85. Liu Q, Chen QM, Liu ZH, Analysis on stochastic delay Lotka–Volterra systems driven by Lévy noise, Applied Mathematics and Computation 235 (2014) 261–271.

2013发表论文（21篇）
86. Zhang ZY, Huang JH, Liu ZH and Sun MB, Boundary Stabilization of a Nonlinear Viscoelastic Equation with Interior Time-Varying Delay and Nonlinear Dissipative Boundary Feedback, Abstract and Applied Analysis,( 2014), Article ID 102594, 14 pages.
87. Liu ZH, Li XW, Sun JH, Controllability of nonlinear fractional impulsive evolution systems, Journal of Integral Equations and Applications, 25(3) (2013), 395-405.
88. Liu ZH, Liang Jitai, A class of boundary value problems for first-order impulsive integro-differential equations with deviating arguments，Journal of Computational and Applied Mathematics 237 (2013) 477–486.
89. Liu ZH, Sun JH, Szanto, I, Monotone Iterative Technique for Riemann–Liouville Fractional Integro-Differential Equations with Advanced Arguments, Results. Math. 63 (2013), 1277–1287.
90. Liu ZH, Nguyen Van Loi; Obukhovskii, Valeri, Existence and global bifurcation of periodic solutions to a class of differential variational inequalities, International Journal of Bifurcation and Chaos, (2013).Vol. 23,No. 7: **,1-10.
91. Liu ZH, Lu L., Szántó I., Existence of solutions for fractional impulsive differential equations with p-Laplacian operator, Acta Mathematica Hungarica, 141 (3) (2013), 203-219.
92. Liu ZH, Bin MJ, Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions, Abstract and Applied Analysis, Volume 2013(2013), Article ID 639492, 19 pages.
93. Peng Z.,Liu ZH, Liu X. Boundary hemivariational inequality problems with doubly nonlinear operators, Mathematische Annalen, 2013, 356(4), 1339-1358.IDS号：177QW，ISSN：0025-5831.
94. Liu XY, Liu ZH, Existence results for a class of second order evolution inclusions and its corresponding first order evolution inclusions, Israel Journal of Mathematics 194 (2013), 723–743. IDS号：137DT， ISSN：0021-2172
95. Liu ZH, Li Xiuwen, Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations, Commun Nonlinear Sci Numer Simulat 18 (2013) 1362-373.
96. Liu ZH, Li Xiuwen, On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces, J Optim Theory Appl (2013) 156:167–182.
97. Liu ZH, Wang Rui, A note on fractional equations of Volterra type with nonlocal boundary condition, Abstract and Applied Analysis, Volume 2013(2013), Article ID 432941,8pages.
98. Liu XY Liu ZH, Separated boundary value problem for fractional differential equations depending on lower-order derivative, Advances in Difference Equations 2013, 2013:78, 1-11.
99. Zeng XZ, Liu ZH, Gu YG, Existence and Nonexistence of Global Positive Solutions for a Weakly Coupled P-Laplacian System, Acta Mathematicae Applicatae Sinica, English Serie, 2013,V29(3): 541-554.
100. Zhang, Zai-Yun; Liu, ZH; Gan, Xiang-Yang, Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density, Applicable Analysis, Vol. 92, No.10, (2013) 2021-2048.
101. Liu ZH, Han JF, Fang LJ, Nonlinear boundary value problems for first order integro-differential equations with impulsive integral conditions, Bull. Malays. Math. Sci. Soc. 36(2)(2013),435-446.
102. Liu YL, Liu Q., Liu ZH, Dynamical behaviors of a stochastic delay logistic system with impulsive toxicant input in a polluted environment, Journal of Theoretical Biology, 329 (2013) 1–5.
103. Liang JT,Liu ZH, Wang XH, Solvability for a couple system of nonlinear fractional differential equations in a Banach space, Fractional Calculus and Applied Analysis, 2013, Volume 16, Issue 1, 51-63.
104. Wang F, Liu ZH, Li J, Complete controllability of fractional neutral differential systems in abstract space, Abstract and Applied Analysis, 2013, Article ID 529025,1-11.
105. Liu XH, Liu ZH, Han JF, The Solvability and Optimal Controls for Some Fractional Impulsive Equation, Abstract and Applied Analysis, 2013, Article ID 914592,1-10.
106. Liu XY, Liu ZH, Existence results for fractional semilinear differential inclusions in Banach spaces, Journal of Applied Mathematics and Computing, 42(1-2),2013, 171-182.

2012发表论文（8篇）
107. Liu ZH, Sun JH, Nonlinear boundary value problems of fractional functional integro-differential equations, Computers and Mathematics with Applications 64 (2012) 3228-3234.
108. Liu ZH, Tatar S., Analytical solutions of a class of inverse coefficient problems, Applied Mathematics Letters 25 (2012) 2391–2395.
109. Liu ZH, Sun JH, Nonlinear boundary value problems of fractional differential systems, Computers and Mathematics with Applications 64 (2012) 463-475.
110. Liu ZH, Lu L., A class of BVPs for nonlinear fractional differential equations with p-Laplacian operator, E. J. Qualitative Theory of Diff. Equ., No. 70 (2012), pp. 1-16.
111. Liu ZH, Han JH, Integral boundary value problems for fractional order integro-differential equations, Dynamic Systems and Applications 21 (2012) 535-548.
112. Wang F. Liu ZH, Wang P., Analysis of a System for Linear Fractional Differential Equations, Journal of Applied Mathematics, Volume 2012, Article ID 193061, 1-21.
113. Wang F. Liu ZH, Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order , ADVANCES IN DIFFERENCE EQUATIONS, DOI: 10.1186/1687-1847-2012-116.
114. Liu XY, Liu ZH, Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative, ABSTRACT AND APPLIED ANALYSIS, 423796 DOI: 10.1155/2012/423796 (2012),1-24.

2011发表论文（16篇）
115. Liu XY, Liu ZH, Existence results for fractional semilinear differential inclusions in Banach spaces, J Appl Math Comput. 2011，31（9），197-209.
116. Liu ZH, Han JF., Fang LJ., Integral boundary value problems for first order integro-differential equations with impulsive integral conditions, Computers and Mathematics with Applications 61 (2011) 3035–3043.
117. Liu ZH, Szanto I., Inverse coefficient problems for parabolic hemivariational inequalities, Acta Mathematica Scientia, 2011,31B(4):1318–1326.
118. Liu ZH, Han J.F. Boundary value problems for second order impulsive functional differential equations, Dynamic Systems and Applications 20 (2011) 369-382.
119. Peng ZJ，Liu ZH, Evolution hemivariational inequality problems with doubly nonlinear operators, J Glob Optim (2011) 51:413–427.
120. Liu J, Liu ZH, On the existence of anti-periodic solutions for implicit differential equations, Acta Math. Hungar, 132(3)2011,294-305.
121. Ou YH, Zhao J, Liu ZH, Tang J, Determination of the unknown time dependent coefficient p(t) in the parabolic equation ut = Δu + p(t)u + ?(x, t), J. Inv. Ill-Posed Problems 19 (2011), 525–531.
122. Liang JT, Liu YL, Liu ZH, A class of BVPS for first order impulsive integro-differential equations, Applied Mathematics and Computation, 218 (7) (2011) 3667-3672
123. Li Yunxiang, Liu ZH, Dynamic contact problem for viscoelastic piezoelectric materials with normal damped response and friction, Journal of Mathematical Analysis and Applications, 373(2)(2011)726-738.
124. Deng YJ, Liu ZH, New fast iteration for determining surface temperature and heat flux of general sideways parabolic equation, Nonlinear Analysis: Real World Applications, 12(1)(2011) 156-166.
125. Peng Z., Liu ZH, A note on multivalued Wλ0 pseudomonotone map, Applied Mathematics Letters 24 (2011) 1204–1208.
126. Liu GF, Liu ZH, Han JF, Boundary value problems for the second order impulsive functional differential equations, JOURNAL1 OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 13(3)(2011) 514-531,
127. Zhang ZY, Liu ZH, Miao XJ, Chen YZ, Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrodinger’s equation with Kerr law nonlinearity, Physics Letters A 375 (2011) 1275–1280,
128. Zhang ZY, Liu ZH, Miao XJ, Chen YZ, Global existence and uniform stabilization of a generalized dissipative Klein–Gordon equation type with boundary damping, JOURNAL OF MATHEMATICAL PHYSICS 52, 023502 (2011)
129. Zhang, ZY; Li, YX; Liu, ZH, New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity via modified trigonometric function series method, COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,16(8), (2011)3097-3106.(IDS 号: 751FA, ISSN: 1007-5704)
130. Zhang ZY, Liu ZH, Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity，International Journal of Mathematics and Mathematical Sciences，Volume 2011, Article ID 725045, 21 pages doi:10.1155/2011/725045

2010发表论文（13篇）
131. Liu ZH, Anti-periodic solutions to nonlinear evolution equations, Journal of functional analysis, 258（6）(2010) : 2026-2033
132. Liu ZH , Motreanu D., A class of variational–hemivariational inequalities of elliptic type, Nonlinearity 23 (2010) 1741–1752.
133. Liu ZH, On boundary variational-hemivariational inequalities of elliptic type, Proceedings of the Royal Society of Edinburgh Section-a-mathematics,140(2) (2010): 419-434.
134. Liu ZH, SAEZ E, SZANTO I.,A system of degree four with an invariant trangle and at least three small amplitude limit cycles, Electronic Journal of Qualitative Theory of Differential Equations ,2010, No. 69, 1-7.
135. Liu JB, Wang BY, Liu ZH, Determination of a source term in a heat equation, International journal of computer mathematics, 87(5)(2010): 969-975
136. Zeng XZ, Liu ZH， Nonconstant positive steady states for a ratio-dependent predator-prey system with cross-diffusion, Nonlinear Analysis-real world applications, 11（1）（2010）: 372-390,
137. Xiao CE,Liu ZH, Inverse Coefficient Problems for Elliptic Hemivariational Inequalities, CHINESE ANNALS OF MATHEMATICS SERIES B31(4)(2010): 473-480
138. Xu YJ, Liu ZH，Exact Controllability to Trajectories for a Semilinear Heat Equation with a Superlinear Nonlinearity，Acta. Appl. Math. (2010) 110: 57–71
139. Xu YJ, Liu ZH， Controllability for a parabolic equation with a nonlinear term involving the state and the gradient , Acta Mathematica Scientia, 30(5), (2010): 1593-1604
140. Zeng XZ, Liu ZH , Existence and nonexistence of global positive solutions for degenerate parabolic equations in exterior domains, Acta Mathematica Scientia, 30(3), (2010)713-725.
141. Li Yunxiang, Liu ZH, A quasistatic contact problem for viscoelastic materials with friction and damage, Nonlinear Analysis 73 (2010) 2221-2229.
142. Zhang Zai-yun , Liu ZH, Stability analysis of heat flow with boundary time-varying delay effect, Nonlinear Analysis 73 (2010) 1878-1889.
143. Zhang Zai-yun , Liu ZH, New exact solutions to the perturbed nonlinear Schrdinger’s equation with Kerr law nonlinearity, Applied Mathematics and Computation 216 (2010) 3064-3072.
144. Zhang ZY, Liu ZH, Miao XJ，Estimate on the Dimension of Global Attractor for Nonlinear Dissipative Kirchhoff Equation，Acta Appl Math (2010) 110: 271–282。
145. Konnov I.V., Liu ZH, Vector Equilibrium Problems on Unbounded Sets， Lobachevskii Journal of Mathematics, 2010, Vol. 31, No. 3, pp. 232–238 (ISSN 1995-0802,)
146. Xu YJ,Liao MX,Liu ZH, Identification of parameters in parabolic equations with nonlinearity.Ann. Differential Equations26(2010),no. 1,94–99.
147. Peng, YH,Liu, ZH, Feng, HY, Convergence results of a modified regularized gradient method for nonlinear ill-posed problems. J. Appl. Math. Comput.34(2010),no. 1-2,233–250。

2009前发表论文（50篇就不列出来了）