研究变分方程零点分支，环面几乎周期运动与Birkhoff猜想，非线性系统的输出调节，轴向运动弦线边界控制的镇定性，Lorenz系统和Chen系统的稳定性、同宿轨道和异宿轨道，随机时滞传染病SIR模型的稳定性和Lyapunov指数，美式期权定价的扰动方法。
[1]Tiecheng Li, Wenzao Huang. “A Bifurcation theorem for critical points of variational equation”, Chinese Science Bulletin, 41(5), pp.358-362(1996).
[2]Tiecheng Li, Wenzao Huang. “Birkhoff's conjecture and almost periodic motions on the torus”，Science in China (Series A), 40(3), pp. 279-284(1997).
[3]Tiecheng Li, Zhaolin Wang, and Junfeng Li. “Output regulation of the general nonlinear discrete-time system”, Applied Mathematics and Mechanics (English editions), 20(2), pp. 200-204(1999).
[4]Tiecheng Li, Guanrong Chen, and Yun Tang. “On Stability and Bifurcation of Chen's System”, Chaos, Solitons and Fractals, 19(5), pp. 1269-1282(2004).
[5]Tiecheng Li, Guoting Chen, and Guanrong Chen. “On Homoclinic and Hereroclinic Orbits of Chen's System”, International Journal of Bifurcation and Chaos, 16 (10), pp. 3035-3041(2006).
[6]Tie-cheng Li, Zhi-chao Hou, Jun-feng Li. “Stabilization analysis of a generalized nonlinear axially moving string by boundary velocity feedback”, Automatica, 44(2), pp. 498-503(2008).
[7]Guoting Chen, Tiecheng Li. “Stability of Stochastic Delayed SIR Model”, Stochastics and Dynamics, 9(2), pp. 231-252(2009).
[8]Jin E. Zhang, Tiecheng Li. “Pricing and Hedging American Options Analytically: a Perturbation Method”, Mathematical Finance, 20(1), pp. 59-87(2010).
