蘭州大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院導(dǎo)師介紹：程錫友

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理學(xué)博士，副教授。

教育經(jīng)歷：

1997.9—2001.6安徽師范大學(xué)數(shù)學(xué)教育本科生

2001.9—2006.6蘭州大學(xué)基礎(chǔ)數(shù)學(xué)博士生 (導(dǎo)師為鐘承奎教授)

工作經(jīng)歷：

2006.7—2011.6南京審計(jì)學(xué)院數(shù)學(xué)與統(tǒng)計(jì)學(xué)院講師、副教授

2008.9—2011.3中國(guó)科學(xué)院數(shù)學(xué)所博士后 (導(dǎo)師為張志濤研究員)

2011.7—今蘭州大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院副教授

教學(xué)工作：

承擔(dān)本科生專業(yè)課《數(shù)學(xué)分析》、《復(fù)變函數(shù)》及公共課《微積分》、《概率論與數(shù)理統(tǒng)計(jì)》等課程

研究興趣：

非線性泛函分析、非線性偏微分方程及無(wú)窮維動(dòng)力系統(tǒng)

科研項(xiàng)目：

1.《關(guān)于二階橢圓型方程組的非平凡解的研究》，國(guó)家自然科學(xué)基金青年項(xiàng)目（2012.1-2014.12，主持）

2.《關(guān)于二階橢圓型方程組非線性特征值問(wèn)題的研究》，中央高校基本科研業(yè)務(wù)費(fèi)項(xiàng)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(xué)基金面上項(xiàng)目（2009.3-2010.3，主持）

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

5.《非線性分析在微分方程與期權(quán)定價(jià)中的應(yīng)用》, 江蘇省教育廳自然科學(xué)研究項(xiàng)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)