一、基本情况
宋晓秋,男,江苏徐州人,1963年1月生,教授,
1978. 9--1982. 7南京大学数学系数学专业毕业;
1985. 9--1987. 1哈尔滨工业大学、中国矿业学院合办高校助教研究生课程进修班;
1993.9-1994.7复旦大学数学系高级访问学者。
历任数学教研室副主任、主任,理学院副院长(2001-2007)、理学院党委书记(2007--2012),理学院院长(2012—2016)。
1999.9—2017.1指导40余名硕士研究生。
主要从事数学分析、泛函分析、实变函数、复变函数、模糊数学、高等数学、线性代数、概率论与数理统计、算子理论等课程的教学,主持学校教改专项课题10余项。如:(1)主持教务处教改项目:《概率论与数理统计》MOOCs课程视频建设并投入使用,30万元(2014-2016);研究生教育教学改革与研究课题“强基础,重应用公共数学核心课程综合建设”(6万元,2015.6 - 2017.6);获得全国煤炭行业教育教学成果一等奖(排名2/7 )(2015,12),作为教练指导参赛队参加国际、全国大学生数学建模竞赛并获多个一、二等奖;获得江苏省优秀教学成果二等奖(2000,4/5),学校教学质量奖、成果奖多次,2次获得学校百佳教师奖(2001,2016)。
二、主要研究方向
研究工作主要有两个方面。
1、应用泛函分析。特别是关于算子半群的理论与应用研究。其理论与应用范围涉及近代偏微分方程、概率论、数值逼近、控制论等学科。近年来主要研究几类算子半群的生成、表示、扰动与逼近、概率型表示、与微分方程的联系等理论与应用课题,同时将泛函分析方法与近代概率理论、数值分析方法、微分方程等相互渗透,对Banach空间中演化算子族的弱指数不稳定性、指数或多项式三分性(Trichotomy)进行一些研究,在Journal of Functional Analysis、 Applied Mathematics and Computation、数学学报( English Edition)、Journal of Function Spaces and Applications、The Scientific World Journal等发表了50余篇研究论文。主持或参与煤炭科技基金、煤炭青年基金、国家自然基金等项目、学校专项基金等近10项。
2、模糊数学相关理论与应用研究。主要在模糊测度与积分、Sugeno模糊积分或伪模糊积分的一些不等式的研究(如Hermite-Hadamard型、Berwald型、 Chebshev型等)、收敛定理和表现定理、模糊积分方程等理论方面和聚类、评价等方面的应用研究。在Fuzzy Sets and Systems、Applied Mathematics and Computation、Iranian Journal of Fuzzy Systems等杂志上发表30余篇研究论文。
三、出版学术专著与教材情况
1.应用泛函分析,主编,36万字,2013,williamhill威廉希尔官网出版社;
2.模糊数学原理与方法,独立作者,52万字,2004,williamhill威廉希尔官网出版社;
3.高等工程数学(模糊数学部分),承担12万字,1993年,williamhill威廉希尔官网出版社;
4.分形几何--数学基础与应用,编译,第三作者,1992年,重庆大学出版社。
四、部分学术论文目录
近年来以第一作者或通讯作者或合作者发表的部分学术论文:
[1]Lie Symmetry Analysis and Conservation Laws of a Generalized Time Fractional Foam Drainage Equation,Commun. Theor. Phys.66(2016) 35–40,(SCI)
[2]An upper bound for the nullity of a bipartite graph in terms of its maximum degree,Linear and Multilinear Algebra, 2016,Vol. 64, No. 6, 1107–1112
[3]Ya-Zhi Song,Xiao-qiu Song,Dong-qing Li,Tian Yue, Berwald type inequality for extremal universal integrals based on (α,m)– concave function, Journal of Mathematical Inequalities, Vol 9, No.1 (2015), 1–15, SCI
[4] Ya-zhi Song,Xiao-qiu Song,Bit-Shun Tam,A characterizationof a graph G with nullity|G|-2m(G)+2c(G),Linear Algebra and Its Applications. 465(2015),363-375,SCI
[5]Dong-qing Li, Xiao-qiu Song, TianYue,Hermite-Hadamard type inequality for Sugenointegrals,Applied Mathematics and Computation,237(2014),632-638,(SCI)
[6]Tian Yue,Xiao-qiuSong, Dong-qing Li, On Weak Exponential Expansiveness of Evolution Families in Banach Spaces[J].The Scientific World Journal, vol. 2013, Article ID 284630, 6 pages, 2013. doi:10.1155/2013/284630(SCI)
[7]Li zhigang,Xiao-qiuSong, Xiu-li Yang On nonuniform polynomial trichotomy of linear discrete-time systems in Banach spaces,Journal of Applied Mathematics,2014, SCI
[8]Dong-qing Li,Xiao-qiuSong, Tian Yue, Yazhi,Song, Generalization of Liyapunov type inequality for pseudo-integrals,Applied Mathematics and Computation,241(2014), 64-69,(SCI)
[9]Xiao-qiu Song,Tian Yue, Dong-qing Li, Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces[J].Journal of Function Spaces and Applications,vol. 2013, Article ID 645250, 6 pages, 2013. doi:10.1155/2013/645250(SCI)
[10]Tian Yue,Xiao-qiuSong, Dong-qing Li,On weak exponential expansiveness of skew-evol-
ution semiflows in Banach spaces[J].Journal of Inequalities and Applications,2014, 2014(165):1
-11.doi:10.1186/1029-242X-2014-165(SCI)
[11]Dong-qing Li,Xiao-qiuSong, Tian Yue, Yazhi,Song, Generalization of Liyapunov type inequality for pseudo-integrals,Applied Mathematics and Computation,241(2014), 64-69,(SCI)
[12] Xiao-qiu Song, Dong-qing Li,Yazhi Song, Tian Yue, Berwald type inequality for universal integral based on (a ,m)-concave functions, Journal of Mathematics and Inequalities,2014, SCI,
[13](T) fuzzy integral of multi-dimensional function with respect to multi-valued measure,Iranian Journal of Fuzzy Systems,9(2),2012,SCI
[14]The Reduction Square Root and Perturbation for a Classof Strongly Continuous Operator Families,Acta Mathematica Sinica,English Series,2010.26(10),1993-2002,SCI
[15]Almost automorphic and weighted pseudo Almost automorphic solutions semilinear evolution equations.Journal of Functional Analysis,258(2010)196-207(二区)
[16]Weighted pseudo almost periodic mild solutions of semilinear evolution equations with nonlocal conditions,Applied Mathematics and Computation,215(5),2009, 1647-1652,SCI.
[17] Modeling correlation between origin-destination traffic demands in stochastic transportation networks , International Joint Conference on Computational Sciences and Optimization,2009,IEEE Computer Society, 147-149 , EI;
[18] Fuzzy algebra in triangular norm system,Fuzzy Sets and Systems,93(1998)331-335.SCI
[19]Nonlinear singular boundary value problems in the study of plasma,Journal of mathematical analysis and applications,248(2000)184-194.SCI;
[20] Spectral mapping theorems for C-semigroup,J. of Mathematical Research and Exposition, 1999, 16(4):526-531.
[21] The Existence of Solution for a Class of Fuzzy Integral Equation,Advances in Systems Science and Applications, 5(2005) 74-77.
[22] The Asymptotic Behavior and Strong or Week Stability for C-semigroup, Journal of Nanjing University Mathematical Biquarterly, 22(2005) 107-114.
[23] Characteristic conditions and asymptotic behavior for C-semigroups,Advances in Systems Science and Applications,6 (2006) 510-514.
[24] C半群与积分半群的概率型逼近问题,南京大学学报数学半年刊,20:2(2003),216-225
[25] C半群的渐近概周期运动,系统科学与数学,29(2009),657-662
[26](T) Fuzzy Integral of Multi-dimensional Function. Proceedings of the 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2010), 1-5, 10-12 Aug. 2010 , Yantai, Shandong, China Sponsor: IEEE,Publisher: IEEE, Piscataway, NJ, USA,EI
[27]积分半群的扰动,应用泛函分析学报,12(3),2010,254-258
[28]双连续N次积分C余弦函数的逼近定理,应用泛函分析学报,12(3),2010,249-253
[29]双连续N次积分C余弦函数的生成定理,williamhill威廉希尔官网学报,39(3),2010,465-470,EI
[30]局部n-次积分C-半群与一类抽象柯西问题的C-适定性,williamhill威廉希尔官网学报,2004,33(3)EI
[31]指数有界C余弦算子函数的概率型表示,山东大学学报,45(4),2010,77-81。
[32] Almost automorphic and pseudo almost automorphic Solutions of semilinear differential equations,应用泛函分析学报,11(4),2009,294-300
[33] a次积分余弦函数的扰动定理,山东大学学报44(12),2009,67-70
[34] C半群的渐进概周期运动,应用泛函分析学报,11(3),2009,240-245
[35]局部C半群与抽象Cauchy问题的弱解,数学实践与认识,39(17),2009,123-127
[36] C半群Lyapunov方程的自伴解与稳定性,南京大学学报数学半年刊,25(1),2008,86-93
[37]m次积分余弦算子函数的逼近,数学实践与认识,37(9),2007,164-167。
[38]积分C半群和抽象积分-微分方程(英),南京大学学报数学半年刊,23(2),2006,217-224
[39]n次积分C半群和抽象与非齐次抽象Cauchy问题的强解,应用泛函分析学报,8(3),2006,247-251
[40] n次积分C半群和抽象抽象柯西问题的强解,纯粹数学与应用数学,22(3),2006,365-371
[41]n次积分C半群的收敛性,williamhill威廉希尔官网学报,35(3),2006, 423-426。
[42]算子半群的逼近及收敛速度的几个估计式,williamhill威廉希尔官网学报,35(2),2006, 279-282
[43]关于n次积分C半群的扰动,数学实践与认识,36(1),2006,220-223。
[44] m次积分C半群和相应抽象Cauchy问题的强解,williamhill威廉希尔官网学报,34(2),2005, 256-260EI检索。
[45]双连续C半群概率表示的渐近公式,williamhill威廉希尔官网学报,42(5),2013, 893-898,EI检索。
[46]巴拿赫空间上发展算子的非一致多项式三分性,山东大学学报,48(12),2013, 80-85,
[47]双参数C半群及其应用,山东大学学报,48(10),2013.
[48]指数有界双连续a次积分C半群的扰动,应用泛函分析学报,15(4),2013,355-359.
[49] Banach空间中演化算子族的弱指数不稳定性,山东大学学报,49(2),2014,46-50
[50] Cang Dingbang; Song Xiaoqiu; Chen Cang,Polynomially Bounded Cosine Functions,Analysis in Theory and Applications, 28(1), 2012, 13-18,1573-8175
[51]Jian-Min Tu,Shou-Fu Tian,Mei-Juan Xu,Xiao-Qiu Song,Tian-Tian Zhang,Bäcklund transformation, infinite conservation laws andperiodic wave solutions of a generalized (3+1)-dimensionalnonlinear wave in liquid with gas bubbles,Nonlinear Dynamics, DOI 10.1007/s11071-015-2397-2,2015,SCI
[52]岳田,雷国梁,宋晓秋,Banach空间中演化算子的非一致多项式膨胀性,数学的实践与认识,45(18),2015,236-240
[53]岳田,宋晓秋,雷国梁,线性离散时间系统的非一致多项式膨胀性,应用泛函分析学报,17(3),2015,270-275
[54]杨秀丽,宋晓秋,卢威,Sandor’s type inequality for fuzzy integral.南京大学学报数学半年刊。
Vol.32, No.2,2015, 144-156.
[55] Xiuli Yang,Xiaoqiu Song, Leilei Huang,Some General Inequalities for Choquet Integral.
Applied Mathematics, Vol.6 No.14 2015. 2292-2299
[56]卢威,宋晓秋,黄雷雷,基于模糊积分的Hermite和Sandaor类型的不等式,山东大学学报,Vol.51, No. 8, 2016,22-28
[57]Inequalities of Barnes-Godunova-Levin and Liapunov Type for Interval-valued measures Based on Pseudo-integrals,Journal of Nanjing University Mahematical Biquarterly,2016,Vol.64, No.1 , 4-–56
五、联系方式
E-mail: songxiaoqiu@cumt.edu.cn
地址:江苏省徐州市英国威廉希尔唯一官网,邮编:221116