主持的科研项目：

脉冲随机泛函微分方程周期解的存在性， 国家自然科学基金天元专项， 主持， 结题.

薄区域上无穷维随机动力系统的动力学行为， 国家自然科学基金青年基金， 主持，结题.

区域奇异摄动对无穷维随机动力系统动力学行为影响的研究， 国家自然科学基金面上项目， 主持，在研.

主研的科研项目：

无穷维动力系统的随机小扰动， 国家自然科学基金青年基金， 主研，结题.

无穷维随机动力系统的逼近与扰动， 国家自然科学基金面上项目， 主研，结题.

随机泛函微分方程的适定性与渐近性分析， 国家自然科学基金面上项目， 主研，结题.

[1]Dingshi Li,  Bixiang Wang, Xiaohu Wang, Limiting behavior of non-autonomous stochastic reactiondiffusion equations on thin domains. J. Differential Equations 262(2017), no. 3, 1575-1602.

[2]Anhui Gu, Dingshi Li(通讯作者), Bixiang Wang, Han Yang, Regularity   of   random attractors  for fractional   stochastic  reaction diffusion   equations   on Rn.  J. Differential Equations 262(2018), no. 3, 1575-1602.

[3]Dingshi Li，Xiaohu Wang，Asymptotic behavior of stochastic   complex Ginzburg-Landau equations with deterministic non-autonomous forcing on  thin domains，Discrete Contin. Dyn. Syst. -B ,  Accepted.

[4] Dingshi, Li, Lin Shi, Upper semicontinuity of attractors of stochastic delay reaction-diffusion equations in the delay. J. Math. Phys. 59 (2018), no. 3, 032703, 35 pp. 

[5]Dingshi Li, Lin Shi,Upper semicontinuity of random attractors of stochastic   discrete  complex Ginzburg-Landau equations  with timevarying delays in the delay, Journal of Difference Equation and Applications.https://doi.org/10.1080/10236198.2018.1437913. 

[6] Dingshi Li, kening Lu, Bixiang, Wang, Xiaohu, Wang, Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains. Discrete Contin. Dyn. Syst. -A 38 (2018), no. 1, 187-208.

[7]Dingshi Li, Bing Li, Global Mean Square Exponential Stability of Impulsive Non-autonomous Stochastic Neural Networks with Mixed Delays, Neural Process Letter  44(2016), 751-764.

[8]Dingshi Li, Guiling Chen, Impulses-induced p-exponential input-to-state stability for a class of stochastic delayed partial differential equations, International Journal of Control, DOI: 10.1080/00207179.2017.1414309.

[9]Guiling Chen, Dingshi Li(通讯作者),  van Gaans Onno; Verduyn Lunel, Sjoerd Stability results for nonlinear functional differential equations using fixed point methods. Indag. Math. (N.S.)29 (2018), no. 2, 671–686.(A)

[10]Dingshi Li,  Xiaohu Wang, Daoyi Xu, Existence and global pexponential stability  of periodic solution for impulsive stochasti cneural networks with delays. Nonlinear Anal. Hybrid Syst. 6 (2012),  847–858. 

[11] Xinhong Zhang, Ke Wang, Dingshi Li(通讯作者), Stochastic periodic solutions of stochastic differential equations driven by Levy process，Journal of Mathematic Analysis and Application,  430 (2015) 231-242. 

[12] Dingshi Li, The stationary distribution and ergodicity of a stochastic generalized logistic system, Statistics & Probability Letters, 83(2013) 580-583.  

[13]Dingshi Li,  Danhua He,  Daoyi Xu, Mean square exponential stability of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. Math. Comput. Simulation 82 (2012),  1531-1543.

[14]Dingshi Li, Xiaoming Fan, Exponential stability of impulsive stochastic partial differential equations with delays, Statistics  Probability Letters, 126 (2017), 185-192.

[15]Guiling, Chen,  Dingshi, Li(通讯作者),  Onno, van Gaans,  Sjoerd, Verduyn Lunel, Stability of nonlinear neutral delay differential equations with variable delays. Electron. J. Differential Equations 2017, Paper No. 118, 14 pp. 

[16]Dingshi Li, Guiling Chen, Exponential stability of a class of impulsive stochastic delay partial differential equations driven by a fractional Brownian motion, International Journal of Control, Automation, and Systems, 15(4) (2017) 1561-1568.

[17] Dingshi Li, Daoyi Xu,  Attracting and quasi-invariant sets of stochastic neutral partial  functional differential Equations，Acta Mathematica Scientia.  33B（2013), 578-588. 

[18] Dingshi Li, Daoyi Xu, Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations, Electronic Journal of Qualitative Theory of Differential Equations,  46 (2012) 1-12.

[19] Dingshi Li，Shujun Long，Difference inequality for attracting and quasi-invariant sets for a class of impulsive stochastic difference equations with continuous time，Mathematical Inequalities &Applications，16（2013), 935-945.

[20] Dingshi Li，Chao Ma，Attractor and stochastic boundedness for stochastic infinte delay neural networks with markovian switching,  Neural Process Letter，40（2014),  127-142. 

[21] Dingshi Li, Daoyi Xu, Perodic solutions of stochastic delay differential equations and  applications to Logistic equations and neural networks, J. Korean Math. Soc. 50 (2013), 1165-1181.