兰州大学

理学博士，副教授。

教育经历：

1997.9—2001.6安徽师范大学数学教育本科生

2001.9—2006.6兰州大学基础数学博士生 (导师为钟承奎教授)

工作经历：

2006.7—2011.6南京审计学院数学与统计学院讲师、副教授

2008.9—2011.3中国科学院数学所博士后 (导师为张志涛研究员)

2011.7—今兰州大学数学与统计学院副教授

教学工作：

承担本科生专业课《数学分析》、《复变函数》及公共课《微积分》、《概率论与数理统计》等课程

研究兴趣：

非线性泛函分析、非线性偏微分方程及无穷维动力系统

科研项目：

1.《关于二阶椭圆型方程组的非平凡解的研究》，国家自然科学基金青年项目（2012.1-2014.12，主持）

2.《关于二阶椭圆型方程组非线性特征值问题的研究》，中央高校基本科研业务费项目（2011.6-2013.6，主持）

3.《非线性微分方程组的非平凡解》，第45批博士后科学基金面上项目（2009.3-2010.3，主持）

4.《非线性分析及其在微分方程中的应用》，江苏省教育厅自然科学研究项目（2010.6-2011.6，主持）

5.《非线性分析在微分方程与期权定价中的应用》, 江苏省教育厅自然科学研究项目（2008.6-2010.6，主持）

部分论文：

[1] Xiyou Cheng and Zhitao Zhang, Positive solutions for a class of multi-parameter elliptic systems, Nonlienar Anal. RWA, 14 (2013) 1551-1562. (SCI)

[2] Xiyou Cheng and Haishen Lv, Multiplicity of positive solutions for a (p_1, p_2)-Laplacian system and its applications, Nonlienar Anal. RWA, 13 (2012) 2375-2390. (SCI)

[3] Xiyou Cheng and Xiaolin Yan, A multiplicity result of positive solutions for a class of multi-parameter ordinary differential systems, Acta Math. Appl. Sinica (English Series), 28 (2012) 653-662. (SCI)

[4] Xiyou Cheng and Zhitao Zhang, Positive solutions for a multi-parameter system of second-order ordinary differential equations, Science China (Mathematics), 54 (2011) 959-972. (SCI)

[5] Zhitao Zhang and Xiyou Cheng, Existence of positive solutions for a semilinear elliptic system, Topol. Methods Nonlinear Anal., 37 (2011) 103-116. (SCI)

[6] Xiyou Cheng and Zhitao Zhang,Existence of positive solutions for a general nonlinear eigenvalue problem, Acta Math. Appl. Sinica (English Series), 27 (2011) 367-372. (SCI)

[7] Xiyou Cheng and Zhitao Zhang,Existence of positive solutions to systems of nonlinear integral or differential equations, Topol. Methods Nonlinear Anal. 34 (2009) 267-277. (SCI)

[8] Xiyou Cheng, Existence of positive solutions for a class of second-order ordinary differential systems, Nonlienar Anal. TMA, 69 (2008) 3042-3049. (SCI)

[9] Xiyou Cheng and Shan Ma, Existence of three nontrivial solutions for elliptic systems with critical exponents and weights, Nonlienar Anal. TMA, 69 (2008) 3537-3548. (SCI)

[10] Shan Ma, Xiyou Cheng and Hongtao Li, Attractors for non-autonomous wave equations with a new class of external forces, J. Math. Anal. Appl. 337 (2008) 808-820. (SCI)

[11] Xiyou Cheng and Chengkui Zhong, Existence of three nontrivial solutions for an elliptic system, J. Math. Anal. Appl. 327 (2007) 1420-1430. (SCI)

[12] Xiyou Cheng and Chengkui Zhong, Existence of positive solutions for a second-order ordinary differential system, J. Math. Anal. Appl. 312 (2005) 14-23. (SCI)