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宋义生
2021-01-18 15:22     (点击: )

 

基本信息

职称教授

系部:运筹与统计系

办公室汇贤楼421

办公电话

E-mailyisheng.song@cqnu.edu.cn

 

 

自我简介:

宋义生,重庆师范大学,4166am金沙信心之选(中国)有限公司,教授,博士生导师

19899--19926月在河南省沈丘中等师范学校学习,获中专学历;

19926月—20039月在河南省郸城县李楼乡中学参加工作,中学二级教师;

19946月—19976月在周口教育学院物理教育专业进修,获专科学历;

19989月—20006月在河南省教育学院电子技术教育专业进修,获本科学历;

20039月—20063月在天津工业大学应用数学专业学习,获理学硕士学位;

20064月—20206月在河南师范大学数学与信息科学学院工作,历任助教、讲师、副教授、特聘教授,博士生导师;

20108月—201310月在香港理工大学应用数学系学习,获哲学博士学位;

20206月至今在重庆师范大学数学学院工作,教授,博士生导师.

研究方向:张量优化理论与方法,非线性分析

 

主讲课程:数学分析,泛函分析,实变函数,矩阵分析,张量分析

 

代表论著:

2024

1. Yisheng Song, Liqun Qi, Boundedness from below conditions for a general scalar potential of two real scalars fields and the Higgs boson, to appearTheoretical and Mathematical Physics (Theor. Math. Phys.), chinaXiv:202011.00118, arXiv: 2011.11262

2023

1. Yisheng Song, Vacuum stability conditions of the general two-Higgs-doublet potential, Modern Physics Letters A, 38:28n29 (2023), 2350130 , ChinaXiv:202301.00156 18 January 2023, arXiv: 2301.09256

2. Liqun Qi, Yisheng Song, Xinzhen Zhang, Copositivity of Three-Dimensional Symmetric Tensors, Asia-Pacific Journal of Operational Research, 40:2 (2023), 2250032 , arXiv: 2008.03998  crossref

3. Yisheng Song, Co-positivity of tensors and boundedness from below conditions of CP conserving two-Higgs-doublet potential, International Journal of Modern Physics A., 38:31 (2023), 2350164 , 15 pp., ChinaXiv:202204.0002, arXiv: 2203.11462

2022

1.Yisheng Song, Xudong Li, Copositivity for a class of fourth order symmetric tensors given by scalar dark matter, Journal of Optimization Theory and Applications, 195 (2022), 334346 , arXiv: 2105.07124

2.Lu-Bin Cui, Qing Hu, Ying Chen, Yisheng Song, A Rayleigh quotient-gradient neural network method for computing Numerical Linear Algebra with Applications, Volume29, Issue3 May 2022 e2420 DOI:10.1002/nla.2420

3.Jiarui Liu, Yisheng Song, Copositivity for 3rd order symmetric tensors and applications, Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45(1), pp. 133152 DOI: 10.1007/s40840-021-01180-1 arXiv: 1911.10284 ChinaXiv201911.00094

4.Lu-bin Cui, Yudong Fan, Yisheng Song, Shi-liang Wu, The existence and uniqueness of solution for tensor complementarity problem and related systems, Journal of Optimization Theory and Applications, 192, 321334 (2022) DOI: 10.1007/s10957-021-01972-2

5.Liqun Qi, Yisheng Song, Xinzhen Zhang, Positivity Conditions for Cubic, Quartic and Quintic Polynomials, Journal of Nonlinear and Convex Analysis Volume 23, Number 2, 191-213, 2022 arXiv:2008.10922

2021

1.Yisheng Song, Positive definiteness for 4th order symmetric tensors and applications, Analysis and Mathematical Physics, Anal. Math. Phys. 11, 10 (2021). DOI: 10.1007/s13324-020-00450-8SCI2.056, 二区)

2.Yisheng Song and Liqun Qi, Analytical expressions of copositivity for 4th order symmetric tensors, Analysis and Applications, Volume No. 19, Issue No. 05, pp. 779 - 800, Year 2021 DOI: 10.1142/S0219530520500049 arXiv: 1909.00880 ChinaXiv201909.00015

2020

1. Juan Meng, Yisheng Song, Upper bounds for Z$_1$-eigenvalues of generalized Hilbert tensors,   Journal of Industrial and Management Optimization 2020, 16(2): 911-918 doi:10.3934/jimo.2018184SCI0.994

2019

1.Xiaoyu Ma, Yisheng Song, Some bounds for the $Z-$eigenpair of nonnegative tensors,  Journal of Inequalities and Applications, 2019, Article number: 271 (2019) DOI: 10.1186/s13660-019-2226-0 SCI0.48

2.Lubin Cui, Minghui Li, Yisheng Song,  Preconditioned tensor splitting iterations method for solving multi-linear systems, Applied Mathematics Letters Volume 96, October 2019, Pages 89-94 DOI: 10.1016/j.aml.2019.04.019 SCI30848, 一区)

3.Lubin Cui, Yisheng Song, On the uniqueness of the positive Z-eigenvector for nonnegative tensors, Journal of Computational and Applied Mathematics, (2019) 352 72-78 DOI: 10.1016/j.cam.2018.11.032 Volume 352, 15 May 2019, Pages 72-78. SCI2.037, 二区)

4.Gaohang Yu, Yisheng Song, Yi Xu, Zefeng Yu, Spectral projected gradient methods for generalized tensor eigenvalue complementarity problems, Numerical Algorithms, April 2019, Volume 80, Issue 4, pp 11811201 DOI: 10.1007/s11075-018-0522-2 SCI2.064, 二区)

2018

1.Yisheng Song, Khanitin Muangchoo-in, Poom Kumam, Yeol Je Cho, Successive Approximations for Common Fixed Points of a Family of α-Nonexpansive Mappings Journal of Fixed Point Theory and Applications March 2018 20:10 DOI: 10.1007/s11784-018-0483-z SCI0.681

2.Yisheng Song, Wei Mei, Structural Properties of Tensors and Complementarity Problems, Journal of Optimization Theory and Applications 176(2), 289-305 February 2018,  DOI: 10.1007/s10957-017-1212-2 SCI, 1.289,二区)

3.Haibin Chen, Liqun Qi, Yisheng Song  Column Sufficient Tensors and Tensor Complementarity Problem,  Frontiers of Mathematics in China (Front. Math. China)  2018, 13(2): 255-276   DOI: 10.1007/s11464-018-0681-4 SCI, 0.333

2017

1.Wei Mei, Yisheng Song, Infinite and finite dimensional generalized Hilbert tensors, Linear Algebra and its Applications, Volume 532, 1 November 2017, Pages 824 DOI: 10.1016/j.laa.2017.05.052 SCI0.973

2.Yisheng Song, Liqun Qi, Strictly semi-positive tensors and the boundedness of tensor complementarity problems,  Optimization Letters(2017) 11:14071426  DOI: 10.1007/s11590-016-1104-7 SCI1.310, 2018ESI高被引论文)

3.Yisheng Song, Liqun Qi, Infinite dimensional Hilbert tensors on spaces of analytic functions, Communications in Mathematical Sciences  Vol. 15, No. 7 (2017), pp. 1897-1911  DOI:  10.4310/CMS.2017.v15.n7.a5SCI, 1.425,二区)

2016

1.Gaohang Yu, Zefeng Yu, Yi Xu,Yisheng Song, Yi Zhou, An adaptive gradient method for computing generalized tensor eigenpairs, Comput Optim Appl. 2016, Volume 65, Issue 3, pp 781797 DOI: 10.1007/s10589-016-9846-9 SCI, 1.520, 二区)

2.Yisheng Song, Gaohang Yu, Properties of Solution set of Tensor Complementarity Problem,  Journal of Optimization Theory and Applications  July 2016, Volume 170, Issue 1, pp 8596 DOI: 10.1007/s10957-016-0907-0 SCI1.310, 二区)

3.Yisheng Song,  Khanittha Promluang, Poom Kumam, Yeol Je Cho, Some convergence theorems of the Mann iteration for  monotone α-nonexpansive mappings, Applied Mathematics and Computation Volumes 287288, 5 September 2016, Pages 7482 DOI: 10.1016/j.amc.2016.04.011SCI1.738, 二区)

4.Yisheng Song, Liqun Qi, Eigenvalue analysis of constrained minimization problem for homogeneous polynomial,  Journal of Global Optimization   March 2016, Volume 64, Issue 3, pp 563-575 DOI: 10.1007/s10898-015-0343-ySCI1.733, 二区)

5.Yisheng Song, Liqun Qi, Tensor Complementarity Problem and Semi-positive Tensors, Journal of Optimization Theory and Applications June 2016, Volume 169, Issue 3, pp 1069-1078 DOI: 10.1007/s10957-015-0800-2SCI1.310, 二区,2016ESI高被引论文)

2015

1.Yisheng Song, Liqun Qi, Necessary and sufficient conditions of copositive tensors,  Linear and Multilinear Algebra. 2015,Vol. 63,  No. 1, 120131SCI1.000, 2016ESI高被引论文)

2.Yisheng Song, Liqun Qi, Properties of Some Classes of Structured Tensors, Journal of Optimization Theory and Applications,  June 2015, Volume 165, Issue 3, pp 854-873. SCI 1.289, 二区,2016ESI高被引论文)

2014

1.Yisheng Song, Liqun Qi, Infinite and finite dimensional Hilbert tensors,  Linear Algebra and its Applications Volume 451, 15 June 2014, Pages 114. SCI0.973,  2016ESI高被引论文与热点论文)

2.Yisheng Song, Ying Huang, Fixed point property and approximation of a class of nonexpansive mappings, Fixed Point Theory and Applications  2014, 2014:81 DOI: 10.1186/1687-1812-2014-81SCI2.503,一区)

3.Liqun. Qi and Yisheng Song,  An even order symmetric B tensor is positive definite,  Linear Algebra and Its Applications Volume 457, 15 September 2014, Pages 303312. (SCI0.973, 2016ESI高被引论文与热点论文)

4.Yisheng Song, Hongjun Wang, Strong convergence for the modified Mann's iteration of λ-strict pseudocontraction,  Applied Mathematics and Computation Volume 237, 15 June 2014, Pages 405410. SCI1.738, 二区)

5.Yisheng Song, Changan Tian, An explicit iteration for zeros of accretive operators,  Applied Mathematics and Computation, Volume 233, 1 May 2014, Pages 369376 SCI1.738,二区)

6.Yisheng Song, Liqun Qi, Positive eigenvalue-eigenvector of nonlinear positive mappings, Frontiers of Mathematics in China 2014, 9(1): 181199. SCI, 0.333

7.Hongjun Wang, Yisheng Song, An iteration method for zeros of accretive operators in Banach spaces,  Journal of Nonlinear and Convex Analysis Volume 15, Number 5, August 2014,  pp. 967-978 SCI0.642

8.Hongjun Wang, Yisheng Song, Xinwen Ma, Strong convergence for the Mann iteration of strict pseudocontraction. Fixed Point Theory 15 (2014), no. 2, 603608 SCI0.462

2013

1.Yisheng Song, Liqun Qi, Spectral properties of positively homogeneous operators induced by higher order tensors,  SIAM Journal on Matrix Analysis and Applications, 2013, Vol. 34, No. 4 : pp. 1581-1595. SCI二区,2.194

2.Chang'An Tian, Yisheng Song, Strong convergence of A Regularization Method for Rockafellar's Proximal Point Algorithm,  Journal of Global Optimization  April 2013, Volume 55, Issue 4, pp 831-837SCI二区,1.733

3.Shenglong Hu, Guoyin Li, Liqun Qi, Yisheng SongFinding the Maximum Eigenvalue of Essentially Nonnegative Symmetric Tensors via Sum of Squares ProgrammingJournal of Optimization Theory and ApplicationsSeptember 2013, Volume 158, Issue 3, pp 717-738 SCI二区,1.310

4.Gaohang Yu, Shanzhou Niu, Jianhua Ma and Yisheng Song, An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications, Abstract and Applied Analysis Volume 2013, Article ID 619123, 13 pages http://dx.doi.org/10.1155/2013/619123 SCI二区)

2012

1.Yisheng Song, Liqun Qi, The existence and uniqueness of eigenvalue for monotone homogeneous mapping pairs,  Nonlinear Analysis Series A: Theory, Methods & Applications, Volume 75, Issue 13, (September 2012)  Pages 5283-5293. SCI二区,1.192

2.Qingnian Zhang, Yisheng Song, Halpern type proximal point algorithm of accretive operators, Nonlinear Analysis: Theory, Methods & Applications, Volume 75, Issue 4, March 2012, Pages 1859-1868. SCI二区,1.192

3.Yisheng Song, Qingnian Zhang, Proximal algorithms for a class of mixed equilibrium problems, Fixed Point Theory and Applications, 2012, 2012:166. SCI二区,2.503

2011

1.Xinkuan Chai, Yisheng Song, Convergence theorem for an iterative algorithm of strict pseudocontraction,  Fixed Point Theory and Applications, 2011, 2011:95SCI二区,2.503

2.Hongjun Wang, Yisheng Song, An iteration schemes for nonexpansive mappings and variational inequalities, Bulletin of the Korean Mathematical Society, 48 (2011), No. 5, pp. 991-1002. SCI0.720

3.Yisheng Song and Yeol Je Cho, Some Notes on Ishikawa Iteration for Multi-valued Mappings, Bulletin of the Korean Mathematical Society, 48 (2011), No. 3, pp. 575-584  (SCI0.720

4.Qingnian Zhang, Yisheng Song, Halpern iteration of Cesàro means for asymptotically nonexpansive mappings,  ScienceAsia 37(2) (2011): 145151. (SCI, 0.343)

5.Yisheng Song, Iterative solutions for zeros of multivalued accretive operators, Mathematische Nachrichten (Math. Nachr.) Vol. 284, Issue 2-3/2011, page 370-380. (SCI, 0.742)

6.Yisheng Song, Qingchun Li, Successive Approximations For Quasi-Firmly Type Nonexpansive Mappings, Mathematical Communications, 16(2011), 251-264.(SCI, 0.316)

7.Xinkuan Chai, Yisheng Song, New iteration algorithms for an asymptotically nonexpansive mapping, Journal of Applied Mathematics and Computing, Volume 35, Numbers 1-2, 2011,351-361. EI

2010

1.Yisheng Song, Jung Im Kang, and Yeol Je Cho, On iterations methods for zeros of accretive operators in Banach spaces, Applied Mathematics and Computation, 216 (2010) 1007-1017. SCI二区,1.738

2.Yisheng Song, Mann iteration of Ces\`{a}ro means for asymptotically non-expansive mappings, Nonlinear Analysis: Theory, Methods and Applications, Volume 72, Issue 1, 1 January 2010, Pages 176-182. SCI二区,1.192

3.Xinkuan Chai, Bo Li, Yisheng Song, Strong and Weak Convergence of the Modified Proximal Point Algorithms in Hilbert Space, Fixed Point Theory and Applications, 2010, 2010:240450 SCI2.503

2009

1Yisheng Song, ChangAn Tian, Modified Halpern iteration of asymptotically non-expansive mappings, Bulletin of the Iranian Mathematical Society, 2009, Volume 35, Issue 2, 229--254. SCI0.287

2Yisheng Song, Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive mappings, Positivity  Volume 13, Number 4, 2009, 643-655. SCI0.661

3Yisheng Song, Haiying Li, Strong Convergence of Iterative Sequences for Nonexpansive Mappings, Applied Mathematics Letters, 22 (2009) 1500--1507 SCI二区,2.233

4Yisheng Song, Xinkuan Chai, Halpern iteration for firmly type nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications  Volume 71, Issue 10, 15 November 2009, Pages 4500-4506. SCI二区,1.192

5Yisheng Song and Yeol Je Cho, Iterative approximations for multivalued nonexpansive mappings in reflexive Banach spaces, Math. Inequal. Appl.  Volume 12, Number 3 (2009), 611624. SCI0.603

6Yisheng Song, Xiao Liu, Convergence comparison of several iteration algorithms for the common fixed point problems,  Fixed Point Theory and Applications, Volume 2009 (2009), Article ID 824374, 13 pages. SCI2.503

7Yisheng Song, Iterative convergence to Cesaro means for continuous pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications  Volume 71, Issues 7-8, 1 October 2009-15 October 2009, Pages 2792-2800SCI二区,1.192

8Yisheng Song and Yuchun Zheng, Strong convergence of iteration algorithms for a countable family of nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications Volume 71, Issues 7-8, 1 October 2009-15 October 2009, Pages 3072-3082SCI二区,1.192

9Yisheng Song, Approximating curves for nonexpansive mappings and accretive operators, Applicable Analysis  Volume 88, Issue 2 February 2009 , 215 -229 SCI0.923

10.Qingnian Zhang,Yisheng Song, Iterative construction for common fixed points of  finitely many  nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications  Volume 71,  Issues 5-6, 1 September 2009, Pages 1850-1856. SCI二区,1.192

11.Yisheng Song, Equivalent theorems of the convergence between proximal-type algorithms, Nonlinear Analysis: Theory, Methods and Applications, Volume 71, Issues 1-2, 1 July 2009-15 July 2009, Pages 293-300.  SCI二区,1.192

12.Yisheng Song and Yeol Je Cho, Averaged iterates for non-expansive nonself-mappings in Banach spaces, Journal of Computational Analysis and Applications, 11(3)(2009),  451460.  SCI0.609

13.Yisheng Song, An iterative process for a finite family of pseudocontractive mappings, Acta Mathematica Sinica, English Series, 25(2)(2009), 293298. SCI0.446

14.Yisheng Song, New iterative algorithms for zeros of accretive operators, Journal of the Korean Mathematical Society, 46 (2009), No. 1, pp. 83-97. SCI0.441

15.Yisheng Song and Hongliang Zuo, Strong convergence theorems for finitely many non-expansive mappings , Nonlinear Analysis: Theory, Methods and Applications Volume 70, Issue 4, 15 February 2009, Pages 1797-1802. SCI二区,1.192

16.Yisheng Song and Hongjun Wang, Convergence of iterative algorithms for multivalued mappings in Banach spaces, Nonlinear Analysis: Theory, Methods and Applications Volume 70, Issue 4, 15 February 2009, Pages 1547-1556. SCI二区,1.192

17.Yisheng Song and Changsen Yang, A note on a Paper " A Regularization Method for the Proximal Point Algorithm", Journal of Global Optimization. Volume 43, Number 1, January 2009, 171-174. SCI二区,1.733

18.Qingnian Zhang and Yisheng Song, Fixed point theory for generalized φ-weak contractions, Applied Mathematics Letters, Volume 22, Issue 1, January 2009, Pages 75-78 . SCI2.233高被引论文).

2008

1.Yisheng Song, Coincidence points of weakly compatible mappings, Bulletin of the Korean Mathematical Society 45 (2008), No. 4, pp. 607614. SCI0.375

2.Yisheng Song, Strong convergence of averaged iteration for asymptotically non-expansive mappings, Applied Mathematics and Computation, 204(2008) 854861. SCI二区,1.738

3.Yisheng Song and Rudong Chen, Weak and strong convergence of Mann's-type iterations for a countable family of nonexpansive mappings, Journal of the Korean Mathematical Society 45 (2008), No. 5, pp. 1393--1404SCI0.441

4.Yisheng Song, New Strong Convergence Theorems for Nonexpansive Nonself-Mappings without Boundary Conditions, Computers and Mathematics with Applications. 56 (2008), 1473-1478. SCI1.531

5.Yisheng Song and Rudong Chen, Strong convergence of an iterative method for non-expansive mappings, Mathematische Nachrichten (Math. Nachr.) 281, No. 8, 1196--1204 (2008)  SCI0.742

6.Yisheng Song and Hongjun Wang, Erratum to "Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces [Computers and Mathematics with Applications, 54(2007) 872-877]", Computers and Mathematics with Applications. Volume 55, Issue 12, June 2008, Pages 2999-3002. SCI1.531

7.Yu Miao and Yisheng Song, Weak and strong convergence of a new scheme for two nonexpansive mappings, Applicable Analysis, Vol. 87, No. 5,May 2008, 567--574. SCI0.923

8.Yisheng Song, A new sufficient condition for the strong convergence of Halpern type iterations, Applied Mathematics and Computation Volume 198, Issue 2, 1 May 2008, Pages 721-728. SCI二区,1.738

9.Yisheng Song, A note on a Paper "A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings", Nonlinear Analysis: Theory, Methods and Applications Vol 68/10, 2008, pp 3047-3049. SCI二区,1.192

10.Yisheng Song and Sumei Xu, Strong convergence theorems for nonexpansive semigroup in Banach spaces, Journal of Mathematical Analysis and Application, 2008, Vol 338/1 pp. 152-161. SCI二区,1.064

2007

1.Yisheng Song, Iterative approximation to common fixed points of a countable family of nonexpansive mappings, Applicable Analysis Vol. 86, No. 11, November 2007, 1329-1337.  SCI0.923

2.Yisheng Song, Iterative selection methods for the common fixed point problems in a Banach space, Applied Mathematics and Computation,Vol 193/1, 2007, pp 7-17. SCI二区,1.738

3.Yisheng Song, On a Mann type implicit iteration process for continuous pseudo-contractive mappings, Nonlinear Analysis: Theory, Methods and Applications, 67 (2007) 3058-3063.  SCI二区,1.192

4.Yisheng Song and Rudong Chen, Convergence theorems of iterative algorithms for continuous pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications, Volume 67, Issue 2, 15 July 2007, Pages 486-497. SCI二区,1.192

5.Yisheng Song and Rudong Chen, Viscosity approximative methods to Cesaro means for non-expansive mappings, Applied Mathematics and Computation 186 (2007) 1120-1128. SCI二区,1.738

6.Yisheng Song and Rudong Chen, Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces, Nonlinear Analysis: Theory, Methods and Applications, 66 (2007) 591-603.  SCI二区,1.192

7.Yisheng Song, Rudong Chen and Haiyun Zhou, Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces, Nonlinear Analysis: Theory, Methods and Applications,66 (2007) 1016-1024.  SCI二区,1.192

2006

1.Yisheng Song and Rudong Chen, Viscosity approximation methods for nonexpansive nonself-mappings, J. Math. Anal. Appl.,3212006316-326. SCI1.064

2.Yisheng Song and Rudong Chen, Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings, Applied Mathematics and Computation, 180 (2006) 275-287. SCI1.738

3.Yisheng Song and Rudong Chen, An approximation method for continuous pseudocontractive mappings, J. of Inequal. and Appl. volume 2006, Article ID 28950, 1-9. SCI0.791

4.Rudong Chen, Yisheng Song and Haiyun Zhou, Convergence Theorems for Implicit Iteration Process for a Finite Family of Continuous Pseudocontractive Mappings, Journal of Mathematical Analysis and Applications 314(2006),701-709. SCI1.064

Rudong Chen, Peikee Lin and Yisheng SongAn approximation method for strictly pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications64(2006), 2527-2535.SCI1.192

主持项目:

1.国家自然科学基金面上项目,12171064,源于粒子物理学模型的张量结构分析与多项式优化,2022.01-2025.1251万元,在研,主持

2.国家自然科学基金面上项目,11571095,结构张量的特征值分析与互补问题研究,2016.01-2019.1250万元,结题,主持

3.国家自然科学基金青年基金,11601134,多重随机张量的极点性质及其在多作业问题中的应用,2017.01-2019.1219万元,结题,参与

3. 国家自然科学基金面上项目,11171074, 比式与分式规划问题稳健解方法研究,2012.12015.12, 参与

4. 国家自然科学基金面上项目,11071279, 迭代算法收敛性理论研究 及其在图像恢复中的应用,2010.12013.12, 参与

 

荣誉获奖:

1.2008.12,非线性算子迭代逼近研究,天津市自然科学三等奖

2.2021.12 河南省第五届自然科学奖-自然科学优秀论文一等奖

3. 2010.4,河南省第十届自然科学优秀论文 一等奖

4. 2013.12,河南省第二届自然科学学术奖--自然科学优秀论文一等奖

5. 2013.12,河南省第二届自然科学学术奖--自然科学优秀论文二等奖

6. 2011.9, 河南省首届届自然科学学术奖--自然科学优秀论文二等奖

7. 2010.4,河南省第十届自然科学优秀论文 二等奖

 

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重庆师范大学4166am金沙信心之选(中国)有限公司  地址:重庆市沙坪坝区大学城中路37号 汇贤楼
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