東北師范大學(xué)博士研究生導(dǎo)師:蔣達(dá)清

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東北師范大學(xué)博士研究生導(dǎo)師:蔣達(dá)清

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東北師范大學(xué)博士研究生導(dǎo)師:蔣達(dá)清 正文

姓  名: 蔣達(dá)清 性別:

出生年月: 1965-2-0 工作單位: 東北師范大學(xué)

所在院系: 數(shù)學(xué)與統(tǒng)計(jì)學(xué)院 職稱: 教授

行政職務(wù): 招生專業(yè): 070104應(yīng)用數(shù)學(xué)

研究領(lǐng)域: 常微分方程和泛函微分方程定性理論,隨機(jī)微分方程中的參數(shù)估計(jì)與假設(shè)檢驗(yàn)問(wèn)題 是否兼職:

指導(dǎo)博士生總數(shù): 指導(dǎo)碩士生總數(shù):

目前博士生數(shù): 目前碩士生數(shù):

個(gè)人簡(jiǎn)介

【個(gè)人情況綜述】   目前, 已有50篇論文發(fā)表在SCI檢索雜志上,在《J. Differential Equations》, 《Math. Model and Method in Appl. Science》, 《J. Math. Anal. Appl.》、《Nonlinear Analysis》 等國(guó)際著名刊物上發(fā)表。 經(jīng)國(guó)際聯(lián)機(jī)檢索美國(guó)DIALOG系統(tǒng)的《科學(xué)引文索引》(SCI)數(shù)據(jù)庫(kù)蔣達(dá)清1997-2007年以來(lái)共有50篇論文被SCI收錄,有25篇文章被SCI他人引用84次。其中2002-2007共有39篇論文被SCI收錄,有15篇文章被SCI他人引用49次;1997-2001共有11篇論文被SCI收錄,有10篇文章被SCI他人引用35次。   參加兩項(xiàng)國(guó)家自然科學(xué)基金項(xiàng)目,《可積系統(tǒng)的時(shí)滯擾動(dòng)》(NO: 10171010)和《時(shí)滯微分方程所確定的動(dòng)力系統(tǒng)的研究》(NO: 19871012), 主持一項(xiàng)國(guó)家自然科學(xué)基金項(xiàng)目《隨機(jī)微分方程中的參數(shù)估計(jì)問(wèn)題》(NO: 10571021). 《Mathematical Review》評(píng)論員。   主要從事常微分方程和泛函微分方程定性理論,隨機(jī)微分方程中的參數(shù)估計(jì)與假設(shè)檢驗(yàn)問(wèn)題。 在常微分方程邊值問(wèn)題、泛函微分方程邊值問(wèn)題和定性理論方面,在非線性力學(xué)、邊界層理論和反應(yīng)擴(kuò)散過(guò)程方面,以及在生態(tài)學(xué)等方面都做出了一定深度、難度和分量的工作。對(duì)這方面的問(wèn)題進(jìn)行理論分析,即研究邊值問(wèn)題與周期解的存在唯一性、穩(wěn)定性及漸近性質(zhì)等,建立先驗(yàn)估計(jì),可以為數(shù)值計(jì)算和實(shí)際應(yīng)用提供信息資料。近幾年來(lái),已系統(tǒng)閱讀和討論隨機(jī)微分方程中的參數(shù)估計(jì)與假設(shè)檢驗(yàn)問(wèn)題的研究工作。在攻讀博士學(xué)位期間, 在史寧中教授指導(dǎo)下,一直跟蹤和收集有關(guān)領(lǐng)域的研究成果、資料和信息,并在這一領(lǐng)域開(kāi)展了較深入的研究,并取得一些初步成果。已有4篇論文在SCI檢索雜志發(fā)表?!∧壳?,研究了增長(zhǎng)率(死亡率)在環(huán)境白噪聲的干擾下隨機(jī)Logistic模型的參數(shù)估計(jì)與假設(shè)檢驗(yàn)、隨機(jī)Lotka-Volterra 系統(tǒng)正解的存在唯一性和穩(wěn)定性及參數(shù)的極大似然估計(jì),并研究了非自治隨機(jī)Logistic模型的周期解。   【學(xué)習(xí)工作簡(jiǎn)歷】   主要學(xué)習(xí)簡(jiǎn)歷(含國(guó)內(nèi)外訪學(xué))   1984.9---1988.7 吉大數(shù)學(xué)系本科生   1988.9---1991.7 吉大數(shù)學(xué)所碩士研究生   2003.9- 2006.6 東北師大數(shù)學(xué)系博士研究生   主要工作簡(jiǎn)歷   1991.7---1994.7 東北師大數(shù)學(xué)系助教   1994.7---1998.12 東北師大數(shù)學(xué)系講師   1998.12---2000.9 東北師大數(shù)學(xué)系副教授   2000.9---2003.9 東北師大數(shù)學(xué)系教授   2003.9---至今   東北師大數(shù)學(xué)系教授委員會(huì)教授   【社會(huì)學(xué)術(shù)兼職】   美國(guó)《Mathematical Review》評(píng)論員, 長(zhǎng)春市數(shù)學(xué)學(xué)會(huì)理事。曾為《J. Math. Anal. Appl.》、《Nonlinear Analysis》、《J. Comput. Appl. Math.》、《 Computer and Math. with Appl. 》、《Appl. Math. Letters》、《《數(shù)學(xué)學(xué)報(bào)》、《數(shù)學(xué)物理學(xué)報(bào)》、 《數(shù)學(xué)年刊》等雜志一次或多次審稿。

獲得獎(jiǎng)項(xiàng)

榮獲1998年校優(yōu)秀教學(xué)獎(jiǎng)   2003年華為獎(jiǎng)教金   2007年廣東省科學(xué)技術(shù)進(jìn)步三等獎(jiǎng)

著作及論文

論文目錄:   2007年論文成果   [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,中國(guó)科學(xué),37(2), 1-9, 已校樣。   [3] Daqing Jiang, Huina Zhang, Nonuniform Nonresonant Singular Dirichlet Boundary Value Problems for the One-Dimension p-Laplacian with Sign Changing Nonlinearity, Nonlinear Analysis, 已校樣。   [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, 已校樣。   [5] Daqing Jiang , Jifeng Chu, Ying He. Multiple Positive Solutions of Sturm-Liouville Problems for Second Order Impulsive Differential Equations, Dynamic Systems and Applications, 已校樣。   [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年論文成果   [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檢索 )   [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檢索 )   [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檢索 )   [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檢索 )   [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檢索 )   [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檢索 )   [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檢索 )   [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檢索 )   [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檢索 )   2005年論文成果   [1]蔣達(dá)清,  M. Zhang,  Multiplicity of positive periodic solutions to superlinear repulsive singular equations, J. Differential Equations, 211(2005), 282-302. (SCI檢索 ) (APR 2005)   [2] 蔣達(dá)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檢索 ) (APR 2005)   [3] 蔣達(dá)清, Ningzhong Shi, A note on nonautonomous Logistic equation with random perturbation, J. Math.Anal. Appl., 303(2005), 164-172. (SCI檢索 )   (MAR 2005)   [4]蔣達(dá)清, Huizhao Liu and Xiaojie Xu,  Nonresont singular fourth-order  boundary value problems,  Applied Mathematics Letters, 18(2005), 69-75. (SCI檢索 ) (Jan 2005)   [5] Jifeng Chu, 蔣達(dá)清, Eigenvalues and discrete boundary value problems for the one-dimension p-Laplacian, J. Math. Anal. Appl. , 305(2005), 452-465. (SCI檢索 )( May 2005)   [6] 蔣達(dá)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檢索 )  (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檢索 )    [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檢索 ) (Aug 2005)   [10] Lin Xiaoning ,蔣達(dá)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檢索 ) (Jun 2005)   [11] Xiaojie Xu, 蔣達(dá)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檢索 ) (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.

承擔(dān)項(xiàng)目

1. 《時(shí)滯微分方程所確定的動(dòng)力系統(tǒng)的研究》、 國(guó)家自然科學(xué)基金、NO: 19871012、 1999.1~2001. 12、10萬(wàn)元、參加   2. 《可積系統(tǒng)的時(shí)滯擾動(dòng)》、 國(guó)家自然科學(xué)基金、NO: 10171010、 2002.1~2004. 12、15萬(wàn)元、參加   3. 《非線性泛函微分方程邊值問(wèn)題與周期解的研究》、校內(nèi)青年基金、2001.6~2003.6、1萬(wàn)元、主持   4. 《全國(guó)優(yōu)秀博士論文啟動(dòng)基金》、1萬(wàn)元/每年、校內(nèi)基金、2004.6-2006.6、主持   5. 《隨機(jī)微分方程中的參數(shù)估計(jì)問(wèn)題》、國(guó)家自然科學(xué)基金、NO: 10571021、 2006.1~2008. 12、18萬(wàn)元、主持

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