姓名:王立波
职称:教授
研究方向:微分方程定性理论
电子邮箱:libowang@beihua.edu.cn
教育经历:
2007-2010,北京理工大学,应用数学专业,博士
2003-2006,北华大学,基础数学专业,硕士
1995-1999,吉林师范学院,数学教育专业,学士
工作及科研经历:
1999年 参加工作(北华大学数学系)
2005年 讲师
2010年 副教授
2012年 硕士生导师
2015年 教授
2016年 澳大利亚悉尼科技大学(UTS) 访问学者
2017年 吉林大学博士后出站
2018年 YABOCOM·(中国)官方网站副院长
2022年 YABOCOM·(中国)官方网站院长
主讲课程:
本科:数学分析1、2、3,中学数学教学设计实训,中学数学教学实施实训
研究生:泛函分析,变分法等
代表作:
1. Existence and uniqueness for nonlinear third-order two-point boundary value problems.
DCDIS Series A: Mathematical Analysis, 2007, 14(3):321-332.l (with Pei M.)
2. Existence result for a class of nonlinear third-order two-point boundary-value problems.
Proceedings of the Edinburgh Mathematical Society, 2009, 52(03):787-796. (with Pei M. and Ge W.)
3. Existence and Approximation of Solutions for Nonlinear Second-Order Four-Point Boundary Value Problems.
Mathematical and Computer Modelling, 2009, 50(9): 1348–1359. (with Pei M. and Ge W.)
4. Infinitely Many Positive Solutions of a Singular Dirichlet Problem Involving the p-Laplacian.
Communications in Nonlinear Science and Numerical Simulation, 2009, 14(11): 3784–3791. (with Ge W.)
5. A Generalized Quasilinearization Method for Nonlinear Second-Order Impulsive Differential Equations Involving the p-Laplacian.
Acta Applicandae Mathematicae, 2010, 110(1):247-257. (with Pei M. and Ge W.)
6. Infinitely many solutions of a second-order p-Laplacian problem with impulsive condition.
Applications of Mathematics, 2010, 55(5): 405-418. (with Ge W. and Pei M.)
7. Infinitely many solutions of a Sturm-Liouville system with impulses.
Journal of Applied Mathematics & Computing, 2011, 35(1-2): 577-593. (with Pei M.)
8. Existence results for a p(x)-Kirchhoff-type equation without Ambrosetti-Rabinowitz condition.
Journal of Applied Mathematics, 2013, 2013 (3): 745-755. (with Pei M.)
9. Multiplicity of positive radial solutions of a singular mean curvature equations in Minkowski space.
Applied Mathematics Letters, 2016, 60: 50-55. (with Pei M.)
10. New results for positive solutions of singular fourth-order four-point p-Laplacian problem.
Boundary Value Problems, 2016, 2016(1): 92. (with Pei M.)
11. Multiplicity of positive radial solutions of p-Laplacian problems with nonlinear gradient term.
Boundary Value Problems, 2017, 2017(1): 36. (with Pei M. and Lv X.)
12. Positive radial solutions of a mean curvature equation in Minkowski space with strong singularity.
Proceedings of the American Mathematical Society, 2017, 145(10): 4423-4430. (with Pei M.)
13. Existence and multiplicity of positive solutions of a one- dimensional mean curvature equation in Minkowski space.
Boundary Value Problems, 2018, 2018(1): 43. (with Pei M. and Lv X.)
14. Long-time behavior of a regime-switching SIRS epidemic model with degenerate diffusion.
Physica A: Statistical Mechanics and its Applications, 529(2019) Article 121551. (with Lin Y and Dong X.)
15. Positive radial solutions of a mean curvature equation in Lorentz–Minkowski space with strong singularity.
Applicable Analysis, 2020,99(9):1631-1637. (with Pei M.)
16. Radial Solutions for p-Laplacian Neumann Problems Involving Gradient Term Without Growth Restrictions.
Bull. Malays. Math. Sci. Soc., 2021, 44: 2035–2047. (with Pei M. and Lv X.)
17. Existence, uniqueness and qualitative properties of heteroclinic solutions to nonlinear second-order ordinary differential equations,
Electron. J. Qual. Theory Differ. Equ. 2021, No. 1, 1-21. (with Pei M. and Lv X.)
18. Existence of periodic solutions for p-Laplacian equation without growth restrictions,
Z. Angew. Math. Phys., 2021, 72: 53. (with Pei M.) https://rdcu.be/cfQkq
19. Radial solutions for p-Laplacian Neumann problems with gradient dependence,
Mathematische Nachrichten,295 (2022), 2422–2435. (with Pei M. and Lv X.) https://doi.org/10.1002/mana.202000107
教科研项目:
2021-2023 层流边界层方程动力学行为研究 吉林省自然科学基金 主持
2020-2022 两类四阶微机电系统模型定性问题研究 吉林省教育厅 主持
2016-2018 静电驱动MEMS动力学行为研究 吉林省教育厅 主持
2013-2015 一维平均曲率方程定性问题研究 国家自然科学基金青年基金 主持
2013 第四批中国博士后科学基金面上资助
2012 具p(x)-Laplace算子的Kirchhoff问题研究 国家自然科学基金数学天元基金 主持
指导研究生:
14届:王敏、邵华(学硕)
15届:王旭超、胡硕(学硕),张雪飞(专硕)
16届:段珊珊(学硕)
17届:姜雨威(学硕)
18届:董晓婉(学硕),米雪(专硕)
19届:叶鹏翔(学硕),赵政(专硕)
20届:朱妍、刘波(学硕),赵志超、陈和琼、钟秋红、于聪慧(专硕)
21届:高丹(学硕),曹文佳、郭芳芳(专硕)
22届:张馨丹、霍岩(学硕),郑珊珊、杨树瑞 (专硕)
23届:王慧贤、高雨朦(学硕),孙媛媛、孙碧鸿、杨雅雯 (专硕)
在读:薛金凤、朱佳硕、谭晓庆、韩冷、张永尚(学硕),王金宇、王雨、樊喜爽、孙岩 (专硕)
荣誉获奖:
2023 吉林省人才分类定级D类人才
2021 吉林省优秀硕士学位论文指导教师
2019 吉林省科学技术奖(自然科学)三等奖
2018 吉林省自然科学学术成果奖三等奖
2012 吉林省首批高校科研春苗人才
2011 吉林省自然科学学术成果奖二等奖
社会兼职:
中国高等教育学会教育数学专业委员会常务理事、全国经济数学与管理数学学会理事、吉林省工业与应用数学学会常务理事、吉林省运筹学会理事