张兴永

作者:星空体育平台 时间:2021-04-17

 

  张兴永,男,中共党员,博士,教授博士生导师

Email: zhangxingyong1@163.com

 

2002/9-2006/7,云南师范大学,数学与应用数学,学士

2006/9-2011/6,中南大学,应用数学,博士

2019/8-2020/8,加拿大Western University, 访问学者

 

本科生:数学分析,高等数学,线性代数,概率论与数理统计复变函数与积分变换

研究生:现代分析基础硕士, 非线性分析(博士)

 

研究方向:临界点理论及其在非线性椭圆偏微分方程、非线性Hamilton 系统和非线性差分系统解的存在性、多重性、稳定性等相关问题中的应用

承担科研项目及完成情况:

1.云南省基础研究计划项目---面上项目, 具有一般非标准增长的椭圆方程(组)变号解和基态解的存在性及相关问题研究, 2023/03-2026/02、在研、主持

2.云南省“兴滇英才支持计划”青年人才项目,2019/01-2023/12、在研、主持

3.云南省中青年学术技术带头人后备人才项目,2017/01-2022/12、已出站、主持

4.国家自然科学基金青年科学基金项目, 11301235、Hamilton系统的概周期解和闸轨道问题研究、2014/01-2016/12、已结题、主持

5.国家自然科学基金数学天元基金, 11226135、Lagrange 系统的最小周期解和次调和解问题研究、2013/01-2013/12、已结题、主持

6.星空体育平台人才培养项目,几类带阻尼的常微分系统周期解和同宿轨的存在性研究、2012/01-2014/12、已结题、主持

7.国家自然科学基金面上项目, 11171351Hamilton 系统的同宿、异宿轨及相关问题、2012/01-2015/12、已结题、参加

8.中南大学拔尖博士研究生学位论文创新选题资助项目,已结题、主持

 

获奖情况:获中南大学优秀博士学位论文奖星空体育平台伍达观先进教师奖星空体育平台红云园丁优秀教师奖。

代表性论文:

[1] Cuiling Liu, Xingyong Zhang, Existence and multiplicity of solutions for a quasilinear system with locally superlinear condition, Advances in Nonlinear Analysis,  2023; 12: 20220289,  https://doi.org/10.1515/anona-2022-0289.

[2]  Xingyong ZhangCuiling Liu, Existence of solutions for a quasilinear elliptic system with local nonlinearity on R^N, Mathematical Methods in the Applied Sciences, 2021, 44(17): 13186- 13212.

[3]  Liben Wang, Xingyong Zhang*, Hui Fang, Multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces. Taiwanese Journal of Mathematics, 2017, 21(4): 881-912.

[4]  Liben Wang, Xingyong Zhang*, Hui Fang, Existence and multiplicity of solutions for a class of (\phi_1,\phi_2)-Laplacian elliptic system in R^N via genus theory, Computers & Mathematics with Applications, 2016, 72: 110-130.

[5] Xingyong Zhang, Liben Wang, Existence of weak quasi-periodic solutions for a second order Hamiltonian system with damped term via a PDE approachElectronic Journal of Qualitative Theory of Differential Equations, 2016, (109): 1-14.

[6] Xingyong Zhang, Existence and multiplicity of solutions for a class of elliptic boundary value problems, Journal of Mathematical Analysis and Applications, 410(2014)213-226.

[7] Xingyong Zhang, Xianhua Tang, Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems, Communications on Pure and Applied Analysis, 13(2014)75-95.

[8]  Xingyong Zhang, Xianhua Tang, Non-constant periodic solutions for second order Hamiltonian system involving the p-Laplacian, Advanced Nonlinear Studies, 13 (2013)945-964.

[9]  Xingyong Zhang, Xianhua Tang, A note on the minimal periodic solutions of nonconvex superlinear Hamiltonian system, Applied Mathematics and Computation, 213(2013) 7586-7590.

[10] 张兴永,一阶带线性部分Hamilton系统的周期解,数学物理学报,3A(5)(2013)894-905.

[11] Xingyong Zhang, Homoclinic orbits for a class of p-Laplacian systems with periodic assumptionElectronic Journal of Qualitative Theory of Differential Equations, (67)(2013)1-26.

[12] Xingyong Zhang, Xianhua Tang, Subharmonic solutions for a class of non-quadratic second order Hamiltonian systems, Nonlinear Analysis-Real World Applications, 13(2012) 113-130.

[13] Xingyong Zhang, Infinitely many solutions for a class of second-order damped vibration systems, Electronic Journal of Qualitative Theory of Differential Equations, (15)(2013) 1-18.

[14] Xingyong Zhang, Xianhua Tang, Periodic solutions for second order Hamiltonian system with a p-Laplacian, Bulletin of The Belgian Mathematical Society-Simon Stevin, 18(2011)301-309.

[15] Xingyong Zhang, Yinggao Zhou, On periodic solutions of non-autonomous second order Hamiltonian system, Applications of Mathematics, 55(2010)373-384.

[16] Xingyong Zhang, Xianhua Tang, Periodic solutions for an ordinary p-Laplacian system, Taiwanese Journal of Mathematics, 15(2011)1369-1396.

[17] Xianhua Tang, Xingyong Zhang, Periodic solutions for second-order discrete Hamiltonian systems, Journal of Difference Equations and Applications, 17(2011)1413-1430.

[18]Xingyong Zhang, Xianhua Tang, Non-constant periodic solutions for second order Hamiltonian system with a p-Laplacian. Mathematica Slovaca, 62(2012)231-246.

[19] Xingyong Zhang, Xianhua Tang, Existence of solutions for a nonlinear discrete system involving the p-Laplacian, Applications of Mathematics, 57(2012)11-30.

学术兼职:

1. 云南省中青年学术和技术带头人

2. 云南省“兴滇英才支持计划”青年人才

3. 云南省数学会常务理事;

4. 星空体育平台数学与交叉科学研究中心负责人;

5. Mathematical Reviews评论员。

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