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国家自然科学基金(10671078): 作品数：17被引量：35H指数：3; 导出分析报告; 相关作者：黄乘明胡适耕雷冬霞程珍李文皓更多>>; 相关机构：华中科技大学武汉理工大学周口师范学院更多>>; 相关期刊：《数学杂志》《系统仿真学报》《工程数学学报》《Wuhan University Journal of Natural Sciences》更多>>; 相关主题：线性多步法英文DAVISSTABILITYLEMMA更多>>; 相关领域：理学电气工程自动化与计算机技术更多>>

全球变暖的宏观经济增长模型被引量：3: 《数学杂志》2010年第1期105-108,共4页雷冬霞胡适耕; 国家自然科学基金(10671078); 本文研究了全球变暖的减排对策及其对经济环境的影响.运用动态最优化的方法,对该系统进行静态与动态的分析,并且讨论了参数对经济环境的影响.对我国制定全球变暖的对策有一定启发意义.; 关键词：全球变暖减排动态最优化

Delay-dependent Stability Analysis of Multistep Methods for Delay Differential Equations被引量：2: 《Acta Mathematicae Applicatae Sinica》2009年第4期607-616,共10页Cheng-ming Huang Yang-zi Hu Hong-jiong Tian; supported by National Natural Science Foundation of China(Grant No.10671078);the Program for New Century Excellent Talents in University,the State Education Ministry of China. supported in part by E-Institutes of Shanghai Municipal Education Commission (No.E03004);National Natural Science Foundation of China(No.10671130);Shanghai Science and Technology Commission(No.06JC14092);Shuguang Project of Shanghai Municipal Education Commission(No.06SG45);the Shanghai Leading Academic Discipline Project(No.S30405); This paper deals with the delay-dependent stability of numerical methods for delay differential equations. First, a stability criterion of Runge-Kutta methods is extended to the case of general linear methods. Then, l...; 关键词：Delay differential equations delay-dependent stability asymptotic stability ^-（O）-stability linearmultistep methods general linear methods

The Existence and Uniqueness of the Solution for Neutral Stochastic Functional Differential Equations with Infinite Delay被引量：15: 《Journal of Mathematical Research and Exposition》2009年第5期857-863,共7页WANG Lin HU Shi Geng; Foundation item： the National Natural Science Foundation of China （No. 10671078）.; The main aim of this paper is to establish the existence-and-uniqueness theorem for neutral stochastic functional differential equations with infinite delay at phase space BC（（-∞, 0]; R^n） An example is given for ...; 关键词：neutral stochastic functional differential equations infinite delay existence UNIQUENESS Burkholder-Davis-Gundy inequality Borel-Cantelli lemma.

Stability of Neutral Stochastic Differential Equations with Multiple Variable Delays: 《Journal of Southwest Jiaotong University(English Edition)》2009年第2期162-168,共7页胡荣胡适耕汪红初; The National Natural Science Foundation of China (No.10671078); This paper discusses the pth moment stability of neutral stochastic differential equations with multiple variable delays. The equation has a much more general form than the neutral stochastic differential equations wi...; 关键词：Moment stability Neutral stochastic functional differential equation Lyapuonv function Ito formula

Fixed Points and Asymptotic Properties of Neutral Stochastic Delay Differential Equations: 《Journal of Southwest Jiaotong University(English Edition)》2009年第2期169-173,共5页王琳董点; The National Natural Science Foundation of China (No.10671078); This paper discusses a linear neutral stochastic differential equation with variable delays. By using fixed point theory, the necessary and sufficient conditions are given to ensure that the trivial solution to such a...; 关键词：Fixed points Neutral stochastic delay differential equation Variable delay Non-differentiable delay pth moment asymptotically stability Burkholder-Davis-Gundy inequality

Attraction and Stability for Neutral Stochastic Functional Differential Equations被引量：1: 《Wuhan University Journal of Natural Sciences》2009年第3期205-209,共5页CEN Liqun, DAI Weixing, HU Shigeng School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China; Supported by the National Natural Science Foundation of China (10671078); The main aim of this paper is to establish several new criteria on the attractor for the solutions of neutral stochastic func- tional differential equations. A kind of ψ-function is introduced to our discussion, and ...; 关键词：Lyapunov＇s method ATTRACTOR semimartingale convergence theorem Ito＇s formula

Markov调制的随机微分延迟方程的函数稳定性: 《应用数学》2009年第1期213-222,共10页胡荣刘云霞; Supported by the National Natural Science Foundation of China(10671078); 随机微分延迟方程的指数稳定性被人们广泛研究,但讨论带Markov调制的随机微分延迟方程的函数稳定性的不多.本文主要研究了两种类型的函数稳定性.我们采用了一例特定的Lyapunov函数,来研究带Markov调制的随机微分延迟方程的p阶矩ψα-函...; 关键词：函数稳定性 LYAPUNOV函数延迟方程广义Itos公式 MARKOV链

比较原理和带马尔可夫调制的随机泛函微分方程(英文)被引量：1: 《应用数学》2008年第4期737-742,共6页王琳; the National Natural Science Foundation of China(10671078); 本文考虑带马尔可夫调制的随机泛函微分方程解的不稳定性,通过建立的新的比较原理,得到一些不稳定的判据.; 关键词：比较原理随机泛函不稳定性随机泛函微分方程马尔可夫调制 p阶矩泛函不稳定

离散ADI波形松弛方法的收敛性: 《工程数学学报》2008年第6期1065-1073,共9页黄玉芳黄乘明; 国家自然科学基金(10671078);教育部新世纪优秀人才支持计划(NCET-05-0638);留学回国人员科研启动基金; 本文探讨大规模隐式常微分方程初值问题的数值解法,重点讨论波形松弛方法。通过对连续时间交替方向隐式波形松弛(ADIWR)应用线性多步方法,建立离散时间迭代格式。随后,对有限时间区间情形,详细分析迭代矩阵的谱半径并由此获得迭代格式...; 关键词：交替方向隐式波形松弛方法线性多步法收敛性

中立型随机泛函微分方程的有界性(英文): 《应用数学》2008年第3期622-628,共7页戴伟星周少波; the National Natural Science Foundation of China(10671078);Huazhong Uviversity of Science and Technology Foundation(0125011017); 本文主要讨论了中立型随机泛函微分方程的有界性.我们得到的结果本质上也是一种随机的LaSalle定理.; 关键词：有界性半鞅收敛定理 LaSalle定理 ITO公式

国家自然科学基金(10671078)