Jian Liu
School of Mathematics and Quantitative Economics,
Shandong University of Finance and Economics, Jinan, 250014, China
Youth excellent talent of Shandong University of Finance and Economics
Room: 4412
Email:liujianmath@163.com
Tel: 86-531-82617651
Education
Ph.D., Applied mathmatics, Qufu Normal University, China, 2011
M.S., Applied mathmatics, Qufu Normal University, China, 2005
B.S., Mathematics, Liaocheng University, China, 2002
Research Interests
Nonlinear analysis
Variational methods
Impulsive equations
Schrödinger-Poisson systems
Nonlinear dynamics systems
Selected Publications
Jian Liu (2018) Triple solutions of impulsive Neumann boundary value problems for the Sturm-Liouville equation with non-autonomous perturbations, in press.
Jian Liu (2017) Multiple solutions for impulsive problems with non-autonomous perturbations, Appl. Math. Lett.
Jian Liu (2016) Existence of classical solutions to impulsive boundary value problem under Cerami condition, Acta mathematica sinica, Chinese series.
Jian Liu (2016) Variational approach to existence of weak solutions to second-order singular impulsive problems, Acta Mathematica Scientia.
Jian Liu (2016) Variational approach to second-order damped Hamiltonian systems with impulsive effects, J. Nonlinear Sci. Appl.
Jian Liu (2014) Existence of positive solutions to a singular boundary-value problem using variational methods, Electronic Journal of Differential Equations.
Jian Liu (2014) An application of variational methods to second order impulsive differential equation with derivative dependence, Electronic Journal of Differential Equations.
Jian Liu (2012) On the non-homogeneous fourth-order p-Laplacian generalized Sturm-Liouville nonlocal boundary value problems, Discrete Dynamics in Nature and Society.
Jian Liu (2012) Multiple positive solutions for second-order three-point boundary-value problems with sign changing nonlinearities, Electronic Journal of Differential Equations.
Jian Liu (2012) On six solutions for m-point differential equations system with two coupled parallel sub-super solutions, Journal of Applied Mathematics.
Jian Liu (2012) The existence of two positive solutions for m-point boundary value problem with sign changing nonlinearity, Journal of Applied Mathematics and Informatics.
Jian Liu (2010) Existence results for third-order three-point boundary value problem on time scales, Journal of Applied Mathematics and Informatics.
Jian Liu (2009) Triple positive solutions for third-order m-point boundary value problems on time scales, Discrete Dynamics in Nature and Society.
Jian Liu (2009) Existence results for higher-order boundary value problems on time scales, Advances in Difference Equations.
刘健，男，中共党员、博士、硕士生导师、副教授，山东莒南人，1980年1月出生，2005年参加工作，2012年获山东财经大学首届青年科技骨干十强，2017年入选山东财经大学青年优秀人才支持计划。
主持承担国家自然科学基金1项，教育部人文社科项目1项，山东省自然科学基金面上项目1项，山东省自然科学基金青年项目1项，山东省高校科技计划项目2项。
第一作者在《Appl.Math.Lett》、《数学学报》等发表SCI检索或A类论文20余篇。国际数学期刊Mathematical and Computational Applications编委，Probe-Mathematics & Mathematical Sciences编委，多次应邀在中南大学、曲阜师范大学、山东科技大学等高校作学术报告。
目前主要研究方向：非线性分析与应用、变分方法及应用、数量经济学。多次获得山东财经大学科研突出贡献奖和山东财经大学优秀科研成果奖。主要讲授数学文化、泛函分析、拓扑学、高等数学等，指导全国研究生数学建模竞赛和全国大学生数学建模竞赛多次获奖。