职 称： 副教授
学 位：博士
毕业院校： 美国犹他州立大学
研究方向： 变分法
办公室： 校本部教二楼507
所在部门： 分析教研室
电子邮件： rushun.tian@cnu.edu.cn

　　
　　
教学活动开课时间 课程名称 授课对象 课件
2019.09-2020.01 高等数学A 本科生
2019.03-2019.06 常微分方程 本科生
2018.09-2019.01 高等数学3 本科生
2018.02-2018.06 高等数学2 本科生
2017.09-2018.01 高等数学1 本科生
2017.02-2017.07 常微分方程 本科生
2016.09-2017.01 高等数学3 本科生
2016.02-2016.07 高等数学2 本科生
2015.09-2016.01 高等数学1 本科生

主要论著论文题目（书名） 期刊（出版社）
[15] Su, Jiabao; Tian, Rushun; Zhao, Leiga; Bifurcations of elliptic systems with linear couplings. Appl. Math. Lett. 100 (2020), 106042.
[14] Su, Jiabao; Tian, Rushun; Wang, Zhi-Qiang; Positive solutions of doubly coupled multicomponent nonlinear Schrodinger systems. Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 7, 2143–2161.
[13] Dai, Guowei; Tian, Rushun; Zhang, Zhitao; Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrodinger systems. Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 7, 1905–1927.
[12] Bartsch, Thomas; Tian, Rushun; Wang, Zhi-Qiang; Bifurcations for a coupled Schrodinger system with multiple components. Z. Angew. Math. Phys. 66 (2015), no. 5, 2109–2123.
[11] Tian, RuShun; Zhang, ZhiTao; Existence and bifurcation of solutions for a double coupled system of Schrodinger equations. Sci. China Math. 58 (2015), no. 8, 1607–1620.
[10] Tian, Rushun; Sun, Mingzheng; Zhao, Leiga; Applications of Morse theory to some nonlinear elliptic equations with resonance at zero. Nonlinear Anal. 113 (2015), 87–93.
[9] Nguyen, Nghiem V.; Tian, Rushun; Wang, Zhi-Qiang; Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities. Electron. J. Differential Equations 2014, No. 217, 16 pp.
[8] Deconinck, Bernard; Sheils, Natalie E.; Nguyen, Nghiem V.; Tian, Rushun; On the spectral stability of solitary wave solutions of the vector nonlinear Schrodinger equation. J. Phys. A 46 (2013), no. 41, 415202, 21 pp.
[7] Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie; Global existence for a coupled system of Schrodinger equations with power-type nonlinearities. J. Math. Phys. 54 (2013), no. 1, 011503, 19 pp.
[6] Tian, Rushun; Wang, Zhi-Qiang; Bifurcation results of positive solutions for an indefinite nonlinear elliptic system II. Adv. Nonlinear Stud. 13 (2013), no. 1, 245–262.
[5] Tian, Rushun; Wang, Zhi-Qiang; Bifurcation results on positive solutions of an indefinite nonlinear elliptic system. Discrete Contin. Dyn. Syst. 33 (2013), no. 1, 335–344.
[4] Su, Jiabao; Tian, Rushun; Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on RN Proc. Amer. Math. Soc. 140 (2012), no. 3, 891–903.
[3] Li, Xiaoli; Su, Jiabao; Tian, Rushun; Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms. J. Math. Anal. Appl. 385 (2012), no. 1, 1–11.
[2] Tian, Rushun; Wang, Zhi-qiang; Multiple solitary wave solutions of nonlinear Schrodinger systems. Topol. Methods Nonlinear Anal. 37 (2011), no. 2, 203–223.
[1] Su, Jiabao, Tian Rushun; Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations. Commun. Pure Appl. Anal. 9 (2010), no. 4, 885–904.
　　
　　
科研项目开始时间 截止时间 项目名称 资金来源
2020.01 2022.12 Morse理论与椭圆型变分问题，参加 KZ8 北京市教委重点项目
2018.01 2021.12 临界点理论与变分问题（**)，参加 国家自然科学基金--面上项目
2017.01 2019.12 几类非线性椭圆型方程组的多解性问题研究（**，主持） 国家自然科学基金青年项目
2017.01 2018.12 几类非线性方程组的多解问题研究（**，主持） 北京市自然科学基金青年项目
2014.06 2015.06 一类非线性薛定谔方程组驻波解的分歧现象研究（2014M550862, 主持） 中国博士后科学基金
　　
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