程志波:河南焦作,1982年12月生,博士研究生,教授,中共党员。河南省高校科技创新人才入选者,河南省教育厅学术技术带头人,河南省高等学校青年骨干教师,河南理工大学元培学者,硕士生导师。 2012.6毕业于郑州大学数学系,获理学博士学位,导师任景莉教授;四川大学博士后,导师张伟年教授。美国《数学评论》(Mathematical Reviews) 评论员、德国《数学文摘》(Zentralblatt MATH) 评论员,现为新加坡Viser学术委员会委员。
教学情况:
本科生:《常微分方程》、《常微分方程定性初步》、《高等数学》、《线性代数》、《数学建模》等。
研究生:《常微分方程定性理论》、《非线性动力学》等。
研究领域:
非线性微分方程解的性态,主要包括Duffing方程、奇性微分方程、中立型微分方程周期解的存在性研究等。
联系方式:czb_1982@126.com
获得奖励:
1. 2017年河南省科技进步二等奖,本人为第二完成人;
2. 2014年河南省科技进步二等奖,本人为第二完成人;
3. 2013年河南省优秀博士论文;
4. 2021年河南省教育厅科技成果一等奖,本人为第二完成人;
5. 2017年河南省教育厅科技成果一等奖,本人为第二完成人;
6. 2014年河南省教育厅科技成果一等奖,本人为第二完成人。
科研项目:
1.河南省高校科技创新人才项目,21HASTIT025,非线性振动Duffing方程解的性态研究,2021/01-2023/12,主持;
2.河南省自然科学基金面上项目,222300420449,微分算子非退化性及其相关的微分方程周期解的研究,2022/01-2023/12,主持;
3.河南省“双一流”学科创建工程培育项目,AQ20230718,非线性 Duffing 振子混沌理论在煤矿瓦斯检测中的应用,2023/01-2025/12,主持
4.国家自然科学基金,11501170,Duffing方程调和解和次调和解的研究,2016/01-2018/12, 主持;
5.河南省高校基本科研业务费专项资金项目(优青培育),NSFRF17032,非线性微分方程周期解的若干问题研究,2018/01-2020/12, 主持;
6.河南省高等学校青年骨干教师培育项目,2017GGJS057,三类Duffing方程调和解和次调和解的研究,2018/01-2020/12, 主持;
7.中国博士后基金面上项目(一等资助),2016M590886,非线性微分方程周期解及其相关非退化性研究,2016/08-2020/5,主持;
8.国家自然科学基金,11326124,高阶非线性微分方程定性分析,2014/01-2014/12,主持;
9.河南理工大学杰出青年基金,2015-J-002, 高阶非线性微分方程若干问题研究,2015/01-2018/12,主持。
代表论文:
1.Yuan, Qigang, Cheng, Zhibo*, Li, Xueping, Dynamics of periodic solution to a electrostatic micro-electro-mechanical system. Commun. Nonlinear Sci. Numer. Simul. 116 (2023), Paper No. 106828, 12 pp.
2.Yuan, Qigang, Cheng, Zhibo*, New results for periodic solution in Liebau phenomenon, Nonlinear Dynam. 111 (2023) 4107-4119.
3.Cheng, Zhibo*, Kong Ci, Xia Chenyang, Multiple positive periodic solutions to Minkowski-curvature equations with a singularity of attractive type. Qual. Theory Dyn. Syst. 21 (2022), no. 4, Paper No. 146, 16 pp.
4.Cheng Zhibo*, Gu Lulu, Positive periodic solution to a second-order differential equation with attractive-repulsive singularities, Rocky Mountain J. Math. 52 (2022) 77-85.
5.Cheng Zhibo, Pedro J. Torres*, Periodic solutions of the Lp-Minkowski problem with indefifinite weight, Mathematical Modelling and Control, 2 (2022) 7-12.
6.Cheng Zhibo*, Cui Xiaoxiao, Positive periodic solution to an indefinite singular equation.Appl. Math. Lett. 112 98 (2021), 106740, 7 pp.
7.Cheng Zhibo*, Cui Xiaoxiao, Positive periodic solution for generalized Basener-Ross model. Discrete Contin. Dyn. Syst. Ser. B 25 (2020), 4361–4382.
8. Cheng Zhibo*, Nondegeneracy and Uniqueness of Periodic Solution for a Neutral Differential Equation. Qual. Theory Dyn. Syst. 19 (2020), Paper No. 92, 16 pp.
9.Lv Lisha, Cheng Zhibo*, Positive periodic solution to superlinear neutral differential equation with time-dependent parameter, Appl. Math. Lett. 98 (2019) 271-277.
10.Cheng Zhibo*, Li Feifan, Positive periodic solutions for a kind of second-order neutral differential equations with variable coefficient and delay, Mediterr. J. Math. 15 (2018)19 pp.
11.Cheng Zhibo*, Ren Jingli, Periodic solution for second order damped differential equations with attractive-repulsive singularities, Rocky Mountain J. Math. 48 (2018) 753-768.
12.Cheng Zhibo*, Ren Jingli, Harmonic and subharmonic solutions for suplinear Duffing equation with delay, Topol. Methods Nonlinear Anal. 47 (2016) 751-761.
13.Cheng Zhibo*, Ren Jingli, Positive solutions for third-order variable-coefficient nonlinear equation with weak and strong singularities, J. Difference Equ. Appl. 21 (2015) 1003-1020.
14.Ren Jingli*, Cheng Zhibo, Guo Lei, Further results on limitations of sampled-data feedback, J. Syst. Sci. Complex. 27 (2014) 817-835.
15.Cheng Zhibo, Ren Jingli*, Harmonic and subharmonic solutions for superlinear damped Duffing equation, Nonlinear Anal. RWA 14 (2013) 1155-1170.
16.Pedro J. Torres, Cheng Zhibo, Ren Jingli*, Non-degeneracy and unqueness of periodic solutions for 2n-order differential equation, Discrete Contin. Dyn. Syst. 33 (2013) 2155-2168.
17.Ren Jingli*, Cheng Zhibo, Chen Yueli, Existence results of periodic solutions for third-order nonlinear singular differential equation, Math. Nach. 286 (2013) 1022-1042, 2013.
18.Cheng Zhibo*, Ren Jingli,Periodic and subharmonic solutions for Duffing equation with a singularity, Discrete Contin. Dyn. Syst. 32 (2012) 1557-1574.