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东北师范大学博士研究生导师介绍:蒋达清

姓  名:
蒋达清
性别:
出生年月:
1965-2-0
工作单位:
东北师范大学
所在院系:
数学与统计学院
职称:
教授
行政职务:
 
招生专业:
070104应用数学
研究领域:
常微分方程和泛函微分方程定性理论,随机微分方程中的参数估计与假设检验问题
是否兼职:
指导博士生总数:
 
指导硕士生总数:
 
目前博士生数:
 
目前硕士生数:
 
 
  个人简介
  【个人情况综述】
  目前, 已有50篇论文发表在SCI检索杂志上,在《J. Differential Equations》, 《Math. Model and Method in Appl. Science》, 《J. Math. Anal. Appl.》、《Nonlinear Analysis》 等国际著名刊物上发表。 经国际联机检索美国DIALOG系统的《科学引文索引》(SCI)数据库蒋达清1997-2007年以来共有50篇论文被SCI收录,有25篇文章被SCI他人引用84次。其中2002-2007共有39篇论文被SCI收录,有15篇文章被SCI他人引用49次;1997-2001共有11篇论文被SCI收录,有10篇文章被SCI他人引用35次。
  参加两项国家自然科学基金项目,《可积系统的时滞扰动》(NO: 10171010)和《时滞微分方程所确定的动力系统的研究》(NO: 19871012), 主持一项国家自然科学基金项目《随机微分方程中的参数估计问题》(NO: 10571021). 《Mathematical Review》评论员。
  主要从事常微分方程和泛函微分方程定性理论,随机微分方程中的参数估计与假设检验问题。 在常微分方程边值问题、泛函微分方程边值问题和定性理论方面,在非线性力学、边界层理论和反应扩散过程方面,以及在生态学等方面都做出了一定深度、难度和分量的工作。对这方面的问题进行理论分析,即研究边值问题与周期解的存在唯一性、稳定性及渐近性质等,建立先验估计,可以为数值计算和实际应用提供信息资料。近几年来,已系统阅读和讨论随机微分方程中的参数估计与假设检验问题的研究工作。在攻读博士学位期间, 在史宁中教授指导下,一直跟踪和收集有关领域的研究成果、资料和信息,并在这一领域开展了较深入的研究,并取得一些初步成果。已有4篇论文在SCI检索杂志发表。 目前,研究了增长率(死亡率)在环境白噪声的干扰下随机Logistic模型的参数估计与假设检验、随机Lotka-Volterra 系统正解的存在唯一性和稳定性及参数的极大似然估计,并研究了非自治随机Logistic模型的周期解。
  【学习工作简历】
  主要学习简历(含国内外访学)
  1984.9---1988.7 吉大数学系本科生
  1988.9---1991.7 吉大数学所硕士研究生
  2003.9- 2006.6 东北师大数学系博士研究生
  主要工作简历
  1991.7---1994.7 东北师大数学系助教
  1994.7---1998.12 东北师大数学系讲师
  1998.12---2000.9 东北师大数学系副教授
  2000.9---2003.9 东北师大数学系教授
  2003.9---至今   东北师大数学系教授委员会教授
  【社会学术兼职】
  美国《Mathematical Review》评论员, 长春市数学学会理事。曾为《J. Math. Anal. Appl.》、《Nonlinear Analysis》、《J. Comput. Appl. Math.》、《 Computer and Math. with Appl. 》、《Appl. Math. Letters》、《《数学学报》、《数学物理学报》、 《数学年刊》等杂志一次或多次审稿。
 
  获得奖项
  荣获1998年校优秀教学奖
  2003年华为奖教金
  2007年广东省科学技术进步三等奖
 
  著作及论文
  论文目录:
  2007年论文成果
  [1] Chunyan Ji, Daqing Jiang, Ningzhong Shi and Donal O’Regan, Existence, uniqueness, stochastic persistence and global stability of positive solutionsof the logistic equation with random perturbation, Mathematical Methods in the Applied Sciences, 30(2007), 77-89.
  [2] Da-qing JIANG , Bao-xue ZHANG, De-hui WANG,  Ning-zhong SHI,
  Existence, uniqueness, and globalattractivity of positive solutions and MLE of the parameters to the Logistic equation with random perturbation,2007,中国科学,37(2), 1-9, 已校样。
  [3] Daqing Jiang, Huina Zhang, Nonuniform Nonresonant Singular Dirichlet Boundary Value Problems for the One-Dimension p-Laplacian with Sign Changing Nonlinearity, Nonlinear Analysis, 已校样。
  [4] Daqing Jiang, Yang Ying, Jifeng Chu, Optimal Existence Conditions for second-order Neumann Boundary Value Problems of Functional Differential Equations with Upper and Lower Solutions in the Reverse Order, Nonlinear Analysis, 已校样。
  [5] Daqing Jiang , Jifeng Chu, Ying He. Multiple Positive Solutions of Sturm-Liouville Problems for Second Order Impulsive Differential Equations, Dynamic Systems and Applications, 已校样。
  [6]Li Zu, Daqing Jiang , Existence Theory for Single and Multiple Solutions to Singular Boundary Value Problems for Second Order Impulsive Differential Equations, Topological Methods in Nonlinear Analysis, accepted。
  [7]Zu Li, Jiang D Q and O\'Regan D. Multiple solutions to semipositone Dirichlet boundary value problems with singular dependent
  nonlinearities for second-order impulsive differential equations [J], Appl. Math. Comput.,accepted。
  [8]Hu Weimin, Jiang D Q and Luo G X. Existence theory for single and multiple solution to singular discrete boundary value problems for second-order
  differential systems[J], Dynamics Systems and Applications, accepted。
  2006年论文成果
  [1] Xiaoying Zhang,Jiang Daqing ,Li Xiaoyue, Kewang, A new existence theory for single and and multiple positive periodic solutions to Volterra integro- differential equations with impulse effects, Computers and Mathematics with Applications, 51(2006), 17-32. (SCI检索 )
  [2] R. P. Agarwa, Haiyin Gao, Daqing Jiang and Xiaoying Zhang,
  Existence Principles and Singular Boundary Value Problems for the One-Dimension p-Laplacian with Sign Changing Nonlinearities, Dynamic Systems and Applications, 15(2006), 3-20.
  [3] Daqing Jiang, Huizhao Liu and Lili Zhang, Optimal Existence Theory for Single and Multiple Positive Solutions to Fourth-order Periodic Boundary Value Problems, Nonlinear Analysis: Real World Appl ., 7(2006), 841-852. (SCI检索 )
  [4] J. Chu, X. Lin, Daqing Jiang, D’O Regan and R. P. Agarwal, Multiplicity of positive periodic solutions to second order differential equations,Bull. Austral. Math. Soc., 73(2006), 175-182.(SCI检索 )
  [5]Xiaoning Lin, Daqing Jiang, Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations, J.Math. Anal. Appl., 321(2006), 501-514.(SCI检索 )
  [6] Xiaoning Lin, Daqing Jiang, Xiaoyue Li, Existence and uniqueness of solutions for singular fourth-order boundary value problems, J. Comput. Appl. Math. , 196(2006), 155-161. (SCI检索 )
  [7] Xiaoning Lin, Xiaoyue Li, Daqing Jiang, Positive solutions to superlinear semipositone periodic boundary value problems with repulsive weak singular forces, Computers and Mathematics with Applications, 51(2006), 507-514.(SCI检索 )
  [8] Xiaoning Lin, Daqing Jiang, Xiaoyue Li, Existence and uniqueness of solutions for singular (k,n-k) conjugate boundary value problems, Computers and Mathematics with Applications, 52(2006), 375-382. (SCI检索 )
  [9] Xiaoyue Li, Xiaoying Zhang, Daqing Jiang, A new existence theory for positive periodic solutions to functional differential equations with impulse effects, Computers and Mathematics with Applications, 51(2006)1761-1772.
  (SCI检索 )
  [10] Xiaoying Zhang,Li Xiaoyue,Jiang Daqing et al.   Multiplicity positive solutions to periodic problems for first -order impulsive differential equations , Computers and Mathematics with Applications, 52(2006), 953-966. (SCI检索 )
  2005年论文成果
  [1]蒋达清,  M. Zhang,  Multiplicity of positive periodic solutions to superlinear repulsive singular equations, J. Differential Equations, 211(2005), 282-302. (SCI检索 ) (APR 2005)
  [2] 蒋达清, D’O Regan and R. P. Agarwal, On the number of positive solutions of function differential equations and population models,  Mathematical Models & Methods in Aplied Sciences,  15(2005)(No 4),555-573.(SCI检索 ) (APR 2005)
  [3] 蒋达清, Ningzhong Shi, A note on nonautonomous Logistic equation with random perturbation, J. Math.Anal. Appl., 303(2005), 164-172. (SCI检索 )
  (MAR 2005)
  [4]蒋达清, Huizhao Liu and Xiaojie Xu,  Nonresont singular fourth-order  boundary value problems,  Applied Mathematics Letters, 18(2005), 69-75. (SCI检索 ) (Jan 2005)
  [5] Jifeng Chu, 蒋达清, Eigenvalues and discrete boundary value problems for the one-dimension p-Laplacian, J. Math. Anal. Appl. , 305(2005), 452-465. (SCI检索 )( May 2005)
  [6] 蒋达清,  D. O’Regan and R.P. Agarwal, Optimal existence theory for single and multiple positive periodic solutions to functional difference equations p-Laplacian, Appl. Math.Comput., 161(2005), 441-462. (SCI检索 )
 (APR 2005)
  [7] Daqing Jiang, Ningzhong Shi, and Yanan Zhao, Existence, uniqueness and global stability of positive solutions to the food-limited population model with random perturbation, Mathematical and Computer Modeling, 42(2005),651-658. (SEP 2005)
  [8] Jiang Daqing, Xu Xiaojie, D. O’Regan and R.P. Agarwal, Singular positone and semipositone boundary value problems of second order delay differential equations, Czech. Math. J., 55(2) (2005), 483-498. (SCI检索 ) 
  [9] Li Xiaoyue, Lin Xiaoning, Jiang Daqing, Xiaoyin Zhang, Existence and multiplicity of positive periodic solutions to functional differential equations with impulse effects, Nonlinear Analysis, 62(4)(2005), 683-701.
  (SCI检索 ) (Aug 2005)
  [10] Lin Xiaoning ,蒋达清,  D. O’Regan and R.P. Agarwal, Twin positive periodic solutions  of second order singular differential systems,  Topological Methods in Nonlinear Analysis, 25(2), 263-273. (SCI检索 ) (Jun 2005)
  [11] Xiaojie Xu, 蒋达清, Donal O’Regan and R .P. Agarwal, Multiple positive solutions of fourth-order boundary value problems , Mathematical Inequalities and Applications, 8(1)(2005), 79-88. (SCI检索 ) (Jan 2005)
  [12]Daqing Jiang, D’O Regan and R. P. Agarwal, A generalized upper and lower solution method for singular discrete boundary value problems for the one-dimension p-laplacian, Journal of Applied Analysis, 11(2005), No 1, 35-47.
 
  承担项目
  1. 《时滞微分方程所确定的动力系统的研究》、 国家自然科学基金、NO: 19871012、 1999.1~2001. 12、10万元、参加
  2. 《可积系统的时滞扰动》、 国家自然科学基金、NO: 10171010、 2002.1~2004. 12、15万元、参加
  3. 《非线性泛函微分方程边值问题与周期解的研究》、校内青年基金、2001.6~2003.6、1万元、主持
  4. 《全国优秀博士论文启动基金》、1万元/每年、校内基金、2004.6-2006.6、主持
  5. 《随机微分方程中的参数估计问题》、国家自然科学基金、NO: 10571021、 2006.1~2008. 12、18万元、主持
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