从1,500,000教师库中查找(输入学校名称或教师姓名)
韩志清老师介绍
姓名:韩志清
办公室电话:86-411-84708351-8119
电子邮箱地址:hanzhiq@dlut.edu.cn
主要学历及工作经历:
工作与访问经历
1997.9--现在: 历任副教授、教授(06.4-)和博士生导师(06.5-),大连理工大
学应用数学系
1992.7--1997.9: 任讲师、副教授,青岛大学数学系
2007.9--2008.9 应邀访问美国威斯康辛大学(麦迪孙分校)数学系
2004.2--2004.7: 应邀访问北京大学数学院
2001.10--2002.10:应邀访问奥地利TU WIEN应用数学数学研究所
2000.3--2000.6: 应邀访问北京中科院数学与系统研究院应用数学研究所
学历
1989.9--1992.7: 博士研究生(理学博士学位),山东大学数学系.
1986.9--1989.7: 硕士研究生(理学硕士学位),山东大学数学系.
1982.9--1986.7: 本科生(理学学士学位), 山东大学数学系.
教学工作
近年来主讲课程:
数学分析的问题与方法(2003),实变函数与泛函分析 (2003--2006)
非线性泛函分析(2003--2006),非线性分析(博士生,2003-2007)
线性代数(2004,北京大学光华管理学院02级本科生),非线性分析(硕士生,2003,2004),数学分析(2006--2007在,数学系06级4-6班).泛函分析(2009-至今,数学系06级1-6班)
主要学术及社会兼职:
经邀请曾担任过:
教育部提名国家自然科学奖同行评议专家
国家自然科学基金(天元基金)同行评审专家
教育部博士点基金同行评审专家
研究领域(研究课题):
1.变分方法与Morse理论,以及在椭圆偏微分方程、Hamilton系统的应用
在变分方法和无穷维Morse理论方面及应用也做了许多结果:例如通过提出能处理无
界 非线性的推广的Ahamd-Lazer-Paul型条件, 计算了相应泛函的临界群(包括上、
下同调群),研究了椭圆偏微分方程边值问题和Hamilton系统周期解问题的多解问题
等等。
2.Banach空间的微分方程与不动点、拓扑度(含叠合度)及在椭圆偏微分方程应用
用Banach空间的微分方程给出了锥上的局部李普希茨全连续锥映射的不动点指数理
论,给出了著名的Leray-Schauder拓扑度的一个计算公式及一些新型不动点定理;
给出了叠合度(Coincidence degree)为零的计算结果并应用于椭圆偏微分方程边
值问题等;
3.局部凸线性拓扑空间(Banach空间)理论
在局部凸线性拓扑空间(Banach空间)研究了一类锥的基的性质和对偶锥在各种拓扑
下性质之间的关系
目前承担项目
拓扑方法、变分方法及Morse理论与椭圆偏微分方程的可解性和多解性
教育部留学归国人员科研启动基金.
指导硕、博士生研究方向:
指导研究生的方向是
非线性分析
主要的具体方向如下
1. 变分方法(含极小极大方法、Morse理论等)与椭圆偏微分方程、Hamiltion系
统周期解、同宿异宿解
2. 拓扑方法(含Leray-Schauder度、Mawhin的重合度)及对微分方程的应用
3. 黎曼几何中的非线性问题
4 锥理论及应用
博士生招生专业测试:
1.泛函分析;
2.专业综合(主要考拓扑度理论、变分方法等, flexible)
出版著作和论文:
所发表的论文被国内外同行(包括法国、巴西等)在国内外重要杂志引用30次左右。
目录如下:
<09> Periodic solutions of second order differential systems with
differential systems with unbounded nonlinearities, Math. Nachri
(to appear) SCI
<07> Computations of cohomology groups and nontrivial periodic solutions of Hamiltonian systems, Journal of Mathematical Analysis and Applications, 330(2007),259—275.
SCI http://dx.doi.org/10.1016/j.jmaa.2006.07.047
<07>Computations of critical groups and applications to some differential equations at resonance, Nonlinear Analysis TMA.
67 (2007) 1847–1860 SCI
http://dx.doi.org/10.1016/j.na.2006.07.044
<06> Existence of critical point for abstract resonant problems with unbounded nonlinearities and applications to differential equations,
Nonlinear Analysis TMA.65(8),2006,1654--1668, (with Q.D.Li). SCI
<06> Periodic solutions to differential systems with unbounded or periodic nonlinearities, Journal of Mathematical Analysis and Applications, 323(2006),1264-1278 (with J.X. Feng). SCI
<04> Critical point theorems for functionals related to the E-regular operators and applications, Research Report, 2004-71, Inst.of Math., Beijing University.
<04> Solvability of nonlinear ordinary differential equation when its associated linear equation has no nontrivial or sign-changing solution ,
Taiwanese J. Math. 8 :3(2004), pp 503-513. SCI
<04> Nontrivial solutions of a semilinear elliptic problem via variational Methods, Bull. Austral. Math. Soc. 69 :2(2004), pp 267-275. SCI
<04> Coincidence degree and nontrivial solutions of elliptic boundary value problems at resonance, Nonlinear Analysis, 56:5(2004),pp 739-750. SCI
http://dx.doi.org/10.1016/j.na.2003.10.011
<04> Solvability of Nonlinear Elliptic Boundary Value Problem Via Its Associated Linear Problem, Journal of Mathematical Analysis and Applications, 290:1(2004),pp.21-34. SCI
http://dx.doi.org/10.1016/j.jmaa.2003.08.009
<04> Fixed point index and solutions of differential equations in Banach spaces, Indian J. Pure and Applied Math.Vol.35, No.10,pp.1255-1264. SCI
<02>Sign changing solution of linear differential equations and solvability of its corresponding nonlinear differential equations, Proc.of the 4th Acad. Meeting of the Chinese Scholars in Austria,Vienna, 10,2002, pp 16-21.
<00>Solvability of elliptic boundary value problems without standard Landesman-Lazer condition. Acta Math. Sin. (Engl. Ser.) (数学学报, 英文版) 16 (2000), no. 2, 349—360. SCI
http://www.springerlink.com/index/LK255PETQGC4NP6Y.pdf
<00> $2\pi$-periodic solutions to ordinary differential systems at resonance. (In Chinese, 中文) Acta Math. Sinica (数学学报), 43 (2000), no. 4, 639—644.
<99>Fixed point theorems of strict set-contractions via ordinary differential equations in Banach spaces. Quaest. Math. 22 (1999), no. 2, 171--181.
<98>Solvability of elliptic boundary value problems without the standard Landesman-Lazer condition (In Chinese, 中文), Acta Math. Sinica(数学学报),Vol. 41,pp.1315--1324,1998.
<98>Relationships between solid cones and cones satisfying the angle property (In Chinese, 中文) ,J. Systems Sci. Math. Sci(系统科学与数学). 18 (1998), no. 1, 18--22.
<98>Fixed point indices and a multiple fixed point theorem for completely continuous weakly inward maps (In Chinese, 中文), J. Systems Sci. Math. Sci(系统科学与数学). 18 (1998), no. 2, 230—233.
<97> Fixed point index theory for weakly inward mappings. Acta Math. Sci. (English Ed.) (数学物理学报, 英文版),17 (1997), no. 4, 455--462. SCI
<97> A cone separation theorem and its application (In Chinese, 中文), Math. Appl(应用数学), 10 (1997), no. 1, 10--12.
<96>Solvability of a sublinear elliptic partial differential equation at resonance (In Chinese, 中文), J. Math. Res. Exposition(数学研究与评论), Vol. 16,pp.387—392
<96>An improvement on the Ahmad-Lazer-Paul's theorem(In Chinese, 中文), J. of Mathematics (数学杂志), Vol. 16, pp.512--518, 1997.
<96> Relationship between solid cones and cones with bases, Journal of Optimization Theory and Applications , 90 (1996), no. 2, 457--463. SCI
<95> ODEs in Banach spaces and fixed points of weakly inward maps. Acta Math. Sci. (English Ed.) (数学物理学报, 英文版), 15 (1995), no. 1, 74--82. SCI
<94> Remarks on angle property and solid cones, Journal of Optimization Theory and Applications, Vol. 82, pp.149—157. SCI
<94>2$\pi$-periodic solutions to $n$-dimensional systems of Duffing's type (In Chinese, 中文), Qingdao Daxue Xuebao Ziran Kexue Ban (J. Qingdao Univ.) (青岛大学学报,自然科学版),Vol.7,pp.19-26,1994.
<94>2$\pi$-periodic solutions to $n$-dimensional systems of Duffing's type(II) (In Chinese,中文), ``Nonlinear Analysis and Its Applications (in honor of Prof.Guo on his sixties)'' (Ed. by Guo Dajun),Beijing Sci Tech. Publishing Press, 1994,182--191.
<94> Solvability of a boundary value problem with a reflection argument(In Chinese,中文),, Qingdao Daxue Xuebao Ziran Kexue Ban (J. Qingdao Univ.) (青岛大学学报,自然科学版),Vol.7, 1994.
<92>Monotone iterative techniques for discontinuous differential equations (In Chinese,中文), J. Math. (数学杂志) , 12 (1992), no. 3, 263—266.
<92>Solvability of Hammerstein integral equations (In Chinese,中文), Shandong Daxue Xuebao Ziran Kexue Ban (J. Shandong Univ.)(山东大学学报,自然科学版), 27 (1992), no. 4, 407--414.
<92>A class of resonance problems and their perturbation(In Chinese,中文), Shandong Daxue Xuebao Ziran Kexue Ban (J. Shandong Univ.) (山东大学学报,自然科学版), 27 (1992), no. 3, 266--273.
<92> Geometric characterization of a plastering cone and its application(In Chinese,中文), J. Math. Res. Exposition (数学研究与评论), 12 (1992), no. 1, 37--40.
<91>An extension of Guo's theorem and its applications, Northeast Math. J., Vol.7, pp.480-485.
<89>An extension of Guo's theorem and its applications(In Chinese,中文), J. Shandong University for Graduate Students(山东大学研究生学报), Vol.1, No.1(1989).
科研成果及所受奖励:
<1997> 首届青岛市青年科技奖
<2003> 辽宁省自然科学学术成果2等奖(学术论文类)
已毕业硕士博士人数:
6
以上资料最后修改时间:
2009-3-19
办公室电话:86-411-84708351-8119
电子邮箱地址:hanzhiq@dlut.edu.cn
主要学历及工作经历:
工作与访问经历
1997.9--现在: 历任副教授、教授(06.4-)和博士生导师(06.5-),大连理工大
学应用数学系
1992.7--1997.9: 任讲师、副教授,青岛大学数学系
2007.9--2008.9 应邀访问美国威斯康辛大学(麦迪孙分校)数学系
2004.2--2004.7: 应邀访问北京大学数学院
2001.10--2002.10:应邀访问奥地利TU WIEN应用数学数学研究所
2000.3--2000.6: 应邀访问北京中科院数学与系统研究院应用数学研究所
学历
1989.9--1992.7: 博士研究生(理学博士学位),山东大学数学系.
1986.9--1989.7: 硕士研究生(理学硕士学位),山东大学数学系.
1982.9--1986.7: 本科生(理学学士学位), 山东大学数学系.
教学工作
近年来主讲课程:
数学分析的问题与方法(2003),实变函数与泛函分析 (2003--2006)
非线性泛函分析(2003--2006),非线性分析(博士生,2003-2007)
线性代数(2004,北京大学光华管理学院02级本科生),非线性分析(硕士生,2003,2004),数学分析(2006--2007在,数学系06级4-6班).泛函分析(2009-至今,数学系06级1-6班)
主要学术及社会兼职:
经邀请曾担任过:
教育部提名国家自然科学奖同行评议专家
国家自然科学基金(天元基金)同行评审专家
教育部博士点基金同行评审专家
研究领域(研究课题):
1.变分方法与Morse理论,以及在椭圆偏微分方程、Hamilton系统的应用
在变分方法和无穷维Morse理论方面及应用也做了许多结果:例如通过提出能处理无
界 非线性的推广的Ahamd-Lazer-Paul型条件, 计算了相应泛函的临界群(包括上、
下同调群),研究了椭圆偏微分方程边值问题和Hamilton系统周期解问题的多解问题
等等。
2.Banach空间的微分方程与不动点、拓扑度(含叠合度)及在椭圆偏微分方程应用
用Banach空间的微分方程给出了锥上的局部李普希茨全连续锥映射的不动点指数理
论,给出了著名的Leray-Schauder拓扑度的一个计算公式及一些新型不动点定理;
给出了叠合度(Coincidence degree)为零的计算结果并应用于椭圆偏微分方程边
值问题等;
3.局部凸线性拓扑空间(Banach空间)理论
在局部凸线性拓扑空间(Banach空间)研究了一类锥的基的性质和对偶锥在各种拓扑
下性质之间的关系
目前承担项目
拓扑方法、变分方法及Morse理论与椭圆偏微分方程的可解性和多解性
教育部留学归国人员科研启动基金.
指导硕、博士生研究方向:
指导研究生的方向是
非线性分析
主要的具体方向如下
1. 变分方法(含极小极大方法、Morse理论等)与椭圆偏微分方程、Hamiltion系
统周期解、同宿异宿解
2. 拓扑方法(含Leray-Schauder度、Mawhin的重合度)及对微分方程的应用
3. 黎曼几何中的非线性问题
4 锥理论及应用
博士生招生专业测试:
1.泛函分析;
2.专业综合(主要考拓扑度理论、变分方法等, flexible)
出版著作和论文:
所发表的论文被国内外同行(包括法国、巴西等)在国内外重要杂志引用30次左右。
目录如下:
<09> Periodic solutions of second order differential systems with
differential systems with unbounded nonlinearities, Math. Nachri
(to appear) SCI
<07> Computations of cohomology groups and nontrivial periodic solutions of Hamiltonian systems, Journal of Mathematical Analysis and Applications, 330(2007),259—275.
SCI http://dx.doi.org/10.1016/j.jmaa.2006.07.047
<07>Computations of critical groups and applications to some differential equations at resonance, Nonlinear Analysis TMA.
67 (2007) 1847–1860 SCI
http://dx.doi.org/10.1016/j.na.2006.07.044
<06> Existence of critical point for abstract resonant problems with unbounded nonlinearities and applications to differential equations,
Nonlinear Analysis TMA.65(8),2006,1654--1668, (with Q.D.Li). SCI
<06> Periodic solutions to differential systems with unbounded or periodic nonlinearities, Journal of Mathematical Analysis and Applications, 323(2006),1264-1278 (with J.X. Feng). SCI
<04> Critical point theorems for functionals related to the E-regular operators and applications, Research Report, 2004-71, Inst.of Math., Beijing University.
<04> Solvability of nonlinear ordinary differential equation when its associated linear equation has no nontrivial or sign-changing solution ,
Taiwanese J. Math. 8 :3(2004), pp 503-513. SCI
<04> Nontrivial solutions of a semilinear elliptic problem via variational Methods, Bull. Austral. Math. Soc. 69 :2(2004), pp 267-275. SCI
<04> Coincidence degree and nontrivial solutions of elliptic boundary value problems at resonance, Nonlinear Analysis, 56:5(2004),pp 739-750. SCI
http://dx.doi.org/10.1016/j.na.2003.10.011
<04> Solvability of Nonlinear Elliptic Boundary Value Problem Via Its Associated Linear Problem, Journal of Mathematical Analysis and Applications, 290:1(2004),pp.21-34. SCI
http://dx.doi.org/10.1016/j.jmaa.2003.08.009
<04> Fixed point index and solutions of differential equations in Banach spaces, Indian J. Pure and Applied Math.Vol.35, No.10,pp.1255-1264. SCI
<02>Sign changing solution of linear differential equations and solvability of its corresponding nonlinear differential equations, Proc.of the 4th Acad. Meeting of the Chinese Scholars in Austria,Vienna, 10,2002, pp 16-21.
<00>Solvability of elliptic boundary value problems without standard Landesman-Lazer condition. Acta Math. Sin. (Engl. Ser.) (数学学报, 英文版) 16 (2000), no. 2, 349—360. SCI
http://www.springerlink.com/index/LK255PETQGC4NP6Y.pdf
<00> $2\pi$-periodic solutions to ordinary differential systems at resonance. (In Chinese, 中文) Acta Math. Sinica (数学学报), 43 (2000), no. 4, 639—644.
<99>Fixed point theorems of strict set-contractions via ordinary differential equations in Banach spaces. Quaest. Math. 22 (1999), no. 2, 171--181.
<98>Solvability of elliptic boundary value problems without the standard Landesman-Lazer condition (In Chinese, 中文), Acta Math. Sinica(数学学报),Vol. 41,pp.1315--1324,1998.
<98>Relationships between solid cones and cones satisfying the angle property (In Chinese, 中文) ,J. Systems Sci. Math. Sci(系统科学与数学). 18 (1998), no. 1, 18--22.
<98>Fixed point indices and a multiple fixed point theorem for completely continuous weakly inward maps (In Chinese, 中文), J. Systems Sci. Math. Sci(系统科学与数学). 18 (1998), no. 2, 230—233.
<97> Fixed point index theory for weakly inward mappings. Acta Math. Sci. (English Ed.) (数学物理学报, 英文版),17 (1997), no. 4, 455--462. SCI
<97> A cone separation theorem and its application (In Chinese, 中文), Math. Appl(应用数学), 10 (1997), no. 1, 10--12.
<96>Solvability of a sublinear elliptic partial differential equation at resonance (In Chinese, 中文), J. Math. Res. Exposition(数学研究与评论), Vol. 16,pp.387—392
<96>An improvement on the Ahmad-Lazer-Paul's theorem(In Chinese, 中文), J. of Mathematics (数学杂志), Vol. 16, pp.512--518, 1997.
<96> Relationship between solid cones and cones with bases, Journal of Optimization Theory and Applications , 90 (1996), no. 2, 457--463. SCI
<95> ODEs in Banach spaces and fixed points of weakly inward maps. Acta Math. Sci. (English Ed.) (数学物理学报, 英文版), 15 (1995), no. 1, 74--82. SCI
<94> Remarks on angle property and solid cones, Journal of Optimization Theory and Applications, Vol. 82, pp.149—157. SCI
<94>2$\pi$-periodic solutions to $n$-dimensional systems of Duffing's type (In Chinese, 中文), Qingdao Daxue Xuebao Ziran Kexue Ban (J. Qingdao Univ.) (青岛大学学报,自然科学版),Vol.7,pp.19-26,1994.
<94>2$\pi$-periodic solutions to $n$-dimensional systems of Duffing's type(II) (In Chinese,中文), ``Nonlinear Analysis and Its Applications (in honor of Prof.Guo on his sixties)'' (Ed. by Guo Dajun),Beijing Sci Tech. Publishing Press, 1994,182--191.
<94> Solvability of a boundary value problem with a reflection argument(In Chinese,中文),, Qingdao Daxue Xuebao Ziran Kexue Ban (J. Qingdao Univ.) (青岛大学学报,自然科学版),Vol.7, 1994.
<92>Monotone iterative techniques for discontinuous differential equations (In Chinese,中文), J. Math. (数学杂志) , 12 (1992), no. 3, 263—266.
<92>Solvability of Hammerstein integral equations (In Chinese,中文), Shandong Daxue Xuebao Ziran Kexue Ban (J. Shandong Univ.)(山东大学学报,自然科学版), 27 (1992), no. 4, 407--414.
<92>A class of resonance problems and their perturbation(In Chinese,中文), Shandong Daxue Xuebao Ziran Kexue Ban (J. Shandong Univ.) (山东大学学报,自然科学版), 27 (1992), no. 3, 266--273.
<92> Geometric characterization of a plastering cone and its application(In Chinese,中文), J. Math. Res. Exposition (数学研究与评论), 12 (1992), no. 1, 37--40.
<91>An extension of Guo's theorem and its applications, Northeast Math. J., Vol.7, pp.480-485.
<89>An extension of Guo's theorem and its applications(In Chinese,中文), J. Shandong University for Graduate Students(山东大学研究生学报), Vol.1, No.1(1989).
科研成果及所受奖励:
<1997> 首届青岛市青年科技奖
<2003> 辽宁省自然科学学术成果2等奖(学术论文类)
已毕业硕士博士人数:
6
以上资料最后修改时间:
2009-3-19
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