相关期刊:《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Journal of Ocean Engineering and Science》《Chinese Quarterly Journal of Mathematics》更多>>
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...
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 ...
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...
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...
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...
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...
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...
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...