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 monotone iterative techniques is used to investigate the existence of extremal solution of periodic boundary value problems (PBVP) for neutral delay differential equation.
特别地,我们给出二维退化滞后微分方程的周期解的存在性问题,并在最后举例说明其应用。
Particularly, we give the problem of existence of periodic solution of two-dimensional singular differential equation with delay, and give an example to illustrate the main results of this paper.
对带有常数滞后的微分方程系统的控制过程,我们给出了最优性的必要条件。
For control process in the systems of differential equation with constant lag necessary condition of optimality of singular control is found.
本文应用比较方法,提出滞后型泛函微分方程初始问题的近似解法,给出了解的近似迭代序列及其误差估计式,并证明迭代序列的收敛性和计算稳定性。
Using the comparison method, an approximate approach to the delay-differential equations is proposed in this paper. The proof of its convergence and calculation stability is also given.
研究了一类非线性滞后型泛函微分方程周期解的存在性问题。
The existence problem for a class of nonlinear retarded functional differential equation is researched.
通过剪切滞后模型建立了复合材料应力场的控制微分方程。
The governing ordinary differential equations of composite stress are given by using shear-lag theory.
本文研究了一类一阶变系数非线性滞后型微分方程解的振动性,得到这类方程仅有振动解的充分条件。
The study is made on the oscillation of a class of the first order nonlinear retarded differential equations with variable coefficients, and the sufficient conditions are obtained.
本文研究了既有滞后量又有超前量的一阶中立型常系数微分方程的振动性,得到了其振动的几个充分条件。
In this paper, we have studied the oscillation of the first order neutral functional differential equations with delay and advanced argument, obtained, some sufficient conditions extended and impoved.
文章将建立了具有分段常数滞后变元微分方程组振动的一个充分条件,并讨论其非振动解的渐近性。
The present paper is devoted to the oscillations and nonoscillations of a kind of impulsive delay differential equations with piecewise constant argument.
相对于随机微分方程的广泛讨论,随机积分方程的研究就显得滞后很多。
Compared with the study of stochastic differential equations, non-Lipschitz stochastic integral equations seems relatively lagging.
相对于随机微分方程的广泛讨论,随机积分方程的研究就显得滞后很多。
Compared with the study of stochastic differential equations, non-Lipschitz stochastic integral equations seems relatively lagging.
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