蘭州大學

理學博士，副教授。

教育經歷：

1997.9—2001.6安徽師范大學數學教育本科生

2001.9—2006.6蘭州大學基礎數學博士生 (導師為鐘承奎教授)

工作經歷：

2006.7—2011.6南京審計學院數學與統計學院講師、副教授

2008.9—2011.3中國科學院數學所博士后 (導師為張志濤研究員)

2011.7—今蘭州大學數學與統計學院副教授

教學工作：

承擔本科生專業課《數學分析》、《復變函數》及公共課《微積分》、《概率論與數理統計》等課程

研究興趣：

非線性泛函分析、非線性偏微分方程及無窮維動力系統

科研項目：

1.《關于二階橢圓型方程組的非平凡解的研究》，國家自然科學基金青年項目（2012.1-2014.12，主持）

2.《關于二階橢圓型方程組非線性特征值問題的研究》，中央高校基本科研業務費項目（2011.6-2013.6，主持）

3.《非線性微分方程組的非平凡解》，第45批博士后科學基金面上項目（2009.3-2010.3，主持）

4.《非線性分析及其在微分方程中的應用》，江蘇省教育廳自然科學研究項目（2010.6-2011.6，主持）

5.《非線性分析在微分方程與期權定價中的應用》, 江蘇省教育廳自然科學研究項目（2008.6-2010.6，主持）

部分論文：

[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)