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delay differential equalion 中立型泛函微分方程
The invariant set and attractor for a class of non-autonomous delay differential system are investigated in this paper. 摘要研究了一类非自治时滞微分系统的解的不变集与吸引集。
The asymptotic behavior of solutions for a class of delay differential systems was studied. 摘要研究了一类时滞微分系统解的渐近性态。
One of them is piecewise continuous argument delay differential equation, simply called EPCA. 其中第一类为分段连续的时滞微分方程，简称为EPCA。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. 讨论了一类二阶强次线性时滞微分方程解的振动性质,建立了三个新的振动性定理。
In the present paper we obtain the necessary and sufficient conditions for all solutions of a class of delay differential equations to be oscillatory. 本文建立了一类时滞微分方程一切解振动的必要充分条件.
The monotone iterative techniques is used to investigate the existence of extremal solution of periodic boundary value problems (PBVP) for neutral delay differential equation. 摘要利用单调迭代方法给出了中立型滞后微分方程的周期边值问题极解的存在性定理。
The dissipativity of theoretical solution and numerical solution of nonlinear neutral delay differential equations (NDDEs) was investigated. 摘要主要研究非线性中立型延迟微分方程本身及其数值方法的散逸性问题。
There are many significantachievements on basic theory, stability theory, period solution theory and bifurcation theoryof delay differential systems. 在基本理论、稳定性理论、周期解理论、分歧理论等许多方面都出现了重要的成果。
Only the Euler method is popular and efficient among the numerical methods for the stochastic delay differential equations, but its order of convergence is only 1/2. 摘要随机延迟微分方程数值方法中欧拉方法是唯一较为成熟、有效的方法，但欧拉方法的收敛性差，其收敛阶仅为二分之一。
The paper discusses the invariant set and attractor for a class of non-autonomous delay differential system.We estimate the existence range of the invariant set and its attractor. 研究了一类非自治时滞微分系统的解的不变集与吸引集的存在性;得到了其解的不变集与吸引集的存在的范围.
We obtain new sufficient conditions for the oscillation of all solutions of the first order neutral delay differential equation (the equation is abbreviated). 摘要我们得到了一阶中立型时滞微分方程（方程式略）一切解振动的新的充分性判据。
The monotone iterative techniques is used to investigate the existence of extremal solution of periodic boundary value problems(PBVP) for neutral delay differential equation. 利用单调迭代方法给出了中立型滞后微分方程的周期边值问题极解的存在性定理。
This paper is concerned with the study of the delay-dependent stability of linear multistep methods for delay differential equations with real coefficients. 摘要讨论实系数延迟微分方程线性多步法的延迟依赖稳定性。
Numerical solutions of ordinary equation can naturally arise EPCA.At the same time, numerical solutions of delay differential equation can also give birth to EPCA. 常微分方程的数值求解可以自然的产生EPCA，时滞微分方程的数值求解也可以产生EPCA。
The investigation of the existence of positive solutions of neutral delay differential equations with impulses is devoted by using the Banach cotraction principle. 摘要利用压缩映射原理，讨论了中立型脉冲时滞微分方程正解的存在性。
A class of nonlinear delay differential equations is considered and some results on convergence of the solutions are obtained by using the generalized Lipschitz condition and the well_known Gronwall_Bellman inequality. 讨论了一类非线性滞后型微分方程 ,给出了一组带有分段常数自变量的滞后型微分方程以及它们的解的存在惟一性定理 ,通过推广的Lipschitz条件和Gronwall)_Bellman不定式建立了非线性滞后型微分方程和带有分段常数自变量的滞后型微分方程解之间的一致收敛性
For a class of special stochastic delay differential equations, i.e. the stochastic delay differential equation with small noise, the exacter order of convergence is obtained and it shows that the Euler method nearly converges with the order 1. 针对一类特殊的方程即小噪声随机延迟微分方程，给出其欧拉方法更精确的收敛阶，表明欧拉方法是近似1阶改敛的。
The paper discusses the invariant set and attractor for a class of non-autonomous delay differential system. We estimate the existence range of the invariant set and its attractor. 摘要研究了一类非自治时滞微分系统的解的不变集与吸引集的存在性，得到了其解的不变集与吸引集的存在的范围。
This paper constructs a class of parallel BDF algorithms for the systems of delay differential equations with explicit BDF methods as predictor and implicit BDF methods as corrector. 以显式BDF方法为预估式,以隐式BDF方法为校正式构造了一类求解延迟系统的并行BDF算法。