李林

作者: 时间:2024-10-30 点击数:

教授,硕士生导师,浙江省中青年学科带头人培养对象,嘉兴市新世纪专业技术带头人培养人员,嘉兴市杰出人才第二层次培养人员。主要从事函数方程与动力系统方面的研究,《Proc. Edinb. Math. Soc.》《Sci. China Math.》《J. Math. Anal. Appl.》《Nonlinear Anal. TMA》《J. Difference Equ. Appl.》《Publ. Math. Debrecen》等国内外学术期刊上发表论文40余篇;主持完成国家自然科学基金2项、省自然科学基金2项、横向项目1项。先后到波兰绿山大学、加拿大滑铁卢大学、复旦大学等国内外高校进行学术访问。

主讲课程《常微分方程》、《复变函数》、《离散数学》、《现代应用数学讲座》等

研究方向迭代方程、共轭理论

科研项目:

[1]浙江省自然科学基金青年项目(LQ13A010017),连续与集值的迭代根问题研究,2013/01-2015/12

[2]国家自然基金青年基金项目(11301226), 非定向情形下的迭代根与嵌入流问题,2014/01-2016/12

[3]浙江省自然科学基金面上项目(LY18A010017),非定向迭代根的存在性与拓扑不变性,2018/01-2020/12

[4]国家自然基金专项基金项目(12026207), 区间映射的迭代根与嵌入流及相关的函数方程问题,2021/01-2021/12

[5]嘉兴市科技局公益性项目(2025CGW024),一类三维离散生态系统的分岔与Marotto混沌, 2025/04-2028/04.

科研成果:

[1]Zhiheng Yu, Jiangqiong Yu, Lin Li, Dynamic behaviors of a discrete chaotic system with rational fraction, Journal of Applied Mathematics and Computing, 71 (2025), 2917-2957.

[2] 李林,刘玲伶,余志恒, 平面三次多项式的分类, 数学物理学报, 45A(2) (2025), 554-566.

[3]Jinghua Liu, Lin Li, Two kinds of analytical solutions to Feigenbaum-Kadanoff -Shenker equation, Journal of Difference Equations and Applications, 30 (2024), 811-819.

[4]Kui Wu, Lin Li, Wei Song, A classification of non-monotonicity height for piecewise monotone functions (I): increasing case, Aequationes mathematicae, 98 (2024), 287-302.

[5]Zhiheng Yu, Lin Li, Janusz Matkowski, Iterative roots of two-dimensional mappings, Proceedings of the Edinburgh Mathematical Society, 66 (2023), 241-258.

[6]Jinghua Liu, Lin Li, A topological classification of interval mappings with finitely many discontinuous points, Qualitative Theory of Dynamical Systems, 21 (2022), 157.

[7]Lin Li, Janusz Matkowski, Qian Zhang, Square iterative roots of generalized weighted quasi-arithmetic mean-type mappings, Acta Mathematica Hungarica, 163 (2021), 149-167.

[8]Lin Li, Janusz Matkowski, On the functional equation G(x,G( y,x)) =G(y,G( x,y)) and means, Periodica Mathematica Hungarica, 80 (2020), 28-37.

[9]Lin Li, Liu Liu, Decreasing case on characteristic endpoints question for iterative roots of PM functions, Journal of Difference Equations and Applications, 25 (2019), 396-407.

[10]Lin Li, Weinian Zhang, The question on characteristic endpoints for iterative roots of PM functions, Journal of Mathematical Analysis and Applications, 458 (2018), 265-280.

[11]Lin Li, A topological classification for piecewise monotone iterative roots, Aequationes mathematicae, 91 (2017), 137-152.

[12]Lin Li, Wenmeng Zhang, Conjugacy between piecewise monotonic functions and their iterative roots, Science China A, 59 (2016), 367-378.

[13]Lin Li, Wei Song, Global solutions for leading coefficient problem of a general iterative equation, Results in Mathematics, 68 (2015), 247-260.

学术兼职:美国数学评论员、国际差分方程协会(ISDE)会员

联系方式:matlinl@zjxu.edu.cn



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