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Halanay delay differential inequality Halanay时滞不等式
extended Halanay's delay differential inequality Halanay时延微分不等式
delay differential inequality 时滞微分不等式
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
differential inequality with delay 时滞微分不等式
Finally, using the theory of differential inequality, the uniformly valid asymptotic expansions of solution for the original problem are obtained. 最后，利用微分不等式理论，得到了原问题解的一致有效的渐近展开式。
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。
A class of functional boundary value problems for the discontinuous nonlinear ordinary differential equations are considered. The asymptotic solution for the problem is obtained using the theory of differential inequality. 研究了一类间断非线性常微分方程泛函边值问题。利用微分不等式理论得到了问题的渐近解。
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。
The singularly perturbed functional boundary value problems for the discontinuous nonlinear ordinary differential equations are considered. The asymptotic solution to the problem is obtained using the theory of differential inequality. 研究了间断非线性常微分方程奇摄动泛函边值问题。利用微分不等式理论得到了问题的渐近解。
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。
The initial boundary value problems for the reaction diffusion equations are considered. And the asymptotic behavior of solution for the problem is obtained by using the theory of differential inequality. 摘要研究了一类反应扩散方程初始边值问题。利用微分不等式理论得到了问题解的渐近性态。
By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved. 通过引进适当的伸长变量，构造边界层函数，得到了解的N阶近似值，并利用微分不等式理论证明了解的渐近展开式的一致有效性。
By virtue of the Vector Lyapunov functions, the general concept of differential inequality and some other means, the author explores a series of the stability of nonlinear composite systems. 且利用矢量李亚普诺夫函数、分不等式的一般概念以及其他手段,研究一系列非线性复合系统的稳定性。
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。