DELAY_DIFFERENTIAL_EQUATIONS

作品数:96被引量:116H指数:5
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相关作者:丁效华庾建设王媛媛更多>>
相关机构:华东师范大学中国科学院数学与系统科学研究院湖南大学哈尔滨工业大学更多>>
相关期刊:《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Journal of Ocean Engineering and Science》《Chinese Quarterly Journal of Mathematics》更多>>
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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 
ASYMPTOTIC STABILITY FOR GAUSS METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS被引量:3
《Journal of Computational Mathematics》2002年第2期217-224,共8页Sidibe, BS Liu, MZ 
the National Natural Science Foundation of China.
In [4] we proved that all Gauss methods areNtau(0)-compatible for neutral delay differential equations (NDDEs) of the form y'(t) = ay(t) + by(t-tau) + cy'(t-tau), t >0, (0.1) y(t) = g(t), -tau less than or equal to t ...
关键词:delay differential equations STABILITY Runge-Kutta methods 
A semigroup approach for numerical solution of delay differential equations
《Journal of Harbin Institute of Technology(New Series)》2001年第4期367-370,共4页Birama Sory Sidibe 刘明珠 
Investigates the asymptotic stability of numerical solution of linear delay differential equations(DDEs) of the form y′(t)=Ly(t)+My(t-τ), t>0, y(t)=(t), -τ≤t≤0, where τ>0, L, M∈ C n×n  and ∈ (,C...
关键词:delay diffferential equations asymptotic stability SEMIGROUP 
NGP_G-STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF GENERALIZED NEUTRAL DELAY DIFFERENTIAL EQUATIONS被引量:1
《Applied Mathematics and Mechanics(English Edition)》2001年第7期827-835,共9页CONG Yu-hao(丛玉豪) 
theYouthScienceFoundationofShanghaiHigherEducation ( 99QA80 ) ;ShanghaiDevelopmentFoundationofScienceandTechnology (ooJC1 40 5
The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was a...
关键词:generalized neutral delay differential system asymptotic stability linear multistep methods NGP(G)-stability 
Asymptotic stability properties of θ-methods for delay differential equations
《Journal of Harbin Institute of Technology(New Series)》2001年第2期140-142,共3页徐阳 赵景军 刘明珠 
theNationalNaturalScienceFoundationofChina (GrantNo .198710 19)
Deals with the asymptotic stability properties of θ methods for the pantograph equation and the linear delay differential algebraic equation with emphasis on the linear θ methods with variable stepsize schem...
关键词:delay differential equations asymptotic stability θ methods 
The asymptotic stability of multistep multiderivative methods for systems of delay differential equations
《Communications in Nonlinear Science and Numerical Simulation》2000年第1期24-26,共3页Chengming HUANG and Qianshun CHANG Institute of Applied Mathematics, Chinese Academy of Sciences, P. O. Box 2734, Beijing 100080, China 
The project is supported by the National Natural Science FOundation of China !(No.19871070) ;China Postdoctoral Science FOund
This paper deals with the asymptotic stability of multistep multiderivative methods for systems of delay differential equations. In particular, it is shown that A-stability of multistep multiderivative methods for ord...
关键词:delay differential equation STABILITY multistep multiderivative methods 
Asymptotic stability for nonautonomous delay differential equations被引量:2
《Chinese Science Bulletin》1997年第20期1676-1679,共4页YU JiansheDepartment of Applied Mathematics, Hunan University, Changsha 410082, China 
MANY dynamic population models can be transformed to the form of delay differential equationx(t) + λx(t) + f(t,x(t-τ1),….,x(t-τm))=0,t≥0,(1)where the biologically meaningful equi...
关键词:delay EQUATION STABILITY ASYMPTOTIC stability. 
The θ-Methods in Numerical Solution of Systems of Differential Equations with Two Delay Terms被引量:2
《Journal of Systems Engineering and Electronics》1994年第3期32-40,共9页Tian Hongjiong & Kuang Jiaoxun (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China) 
This paper deals with the numerical solution of initial value problems for systems of differential equations with two delay terms. We investigate the stability of adaptations of the θ-methods in the numerical solutio...
关键词:Delay differential equations Numerical solution Θ-METHODS Asymptotic stability Schur polynomial. 
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