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时滞微分
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  differential delay
     The scalar differential delay model(t)=1-αx(t)x~n(t-τ)1+x~n(t-τ) is studied in the present paper.
     研究了一个呼吸动力学时滞微分方程模型. x(t)=1-αx(t)xn(t-τ)1+xn(t-τ).
短句来源
     Global Asymptotic Stability of Two Differential Delay Equations
     两个时滞微分方程的全局渐近稳定性
短句来源
     Exponential Stability of Stochastic Functional Differential Delay Equations with Markovian Jumping Parameters
     具有Markovian参数的随机时滞微分方程的指数稳定性(英文)
短句来源
     The method of yielding periodic solutions of differential delay equations by ordinary differential equations was proposed by Kaplan J L and Yarke J A in [1] in 1974. In this paper this method is used to discuss the existence of periodic solutions of some kinds of differential delay equations.
     Kaplan J L和Yorke J A 1974年提出时滞微分系统周期解的常微分方程产生法。 本文利用该法探讨了某些时滞微分方程周期解的存在性。
短句来源
     Existence of Many and Infinitely Many Periodic Solutions for Some Types of Differential Delay Equations
     时滞微分方程多个及无穷多个周期解的存在性
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  “时滞微分”译为未确定词的双语例句
     Periodic Solutions for Delay Differential Equations and Boundary Value Problems for Differential Equations
     时滞微分方程周期解与微分方程边值问题的研究
短句来源
     Some Bifurcation Problems and Their Numerical Analysis in Delay Differential Systems
     时滞微分系统的若干分歧问题与其数值分析
短句来源
     Dynamical Behavior Analysis of Special Delay Differential Equations and the Application of Chaos and Fractals
     几类时滞微分方程的动力学分析及混沌、分形应用实例讨论
短句来源
     The Study of Qualitative Properties of Solutions of Delay Differential Equations
     时滞微分方程的定性研究
短句来源
     Oscillation of Solutions for Delay Differential and Difference Equations
     时滞微分、差分方程解的振动性
短句来源
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  相似匹配句对
     Stability of Differential System with Delay
     时滞微分系统的稳定性
短句来源
     Stability for Differential Equations with Delay
     时滞微分方程的稳定性
短句来源
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  differential delay
The differential procedure of choosing the strategies of the market subjects was a system of ordinary differential delay equations.
      
This paper deals with constructing multistep numerical methods for differential delay equations under additional algebraic constraints.
      
The regional ionospheric model is adopted to determine satellite-plus-receiver differential delay.
      
The satellite-plus-receiver differential delay is estimated as constant values for each day.
      
Existence of exactlyn+1 simple 4-periodic solutions of the differential delay equation
      
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In this paper we use the Liapunov-functions, by the aid of the methods Б.С.Разумнхин, of С.К.Персидскийand the comparison theorem, to examine the stability of solutions of delay differentiai equations. We give the stabiiity, asymptotic stability, equiasymptotic stability and instability theorems. They are the improvements and extensions of corresponding theorems of papers.

本文藉助于及方法和比較定理,应用V_函数,研究时滞微分方程组解的稳定性問題。并給出了关于解的稳定性,渐近稳定性,对初始函数一致渐近稳定性及不稳定性定理,他們是文[2]-[6]相应定理的改进和推广。

In this paper, first of all, a brief history of the beginning and development of the differential games in the earlier stage is stated. Furthermore, as fundamental examples, a kind of two-person zero sum differential games and one of the qualitative differential games are presented, from which one can be more concretly to understand the properties of those researched in differential games.Some problems at present are also introduced, such as the games of pursuit in air-to-air combat, the application of differential...

In this paper, first of all, a brief history of the beginning and development of the differential games in the earlier stage is stated. Furthermore, as fundamental examples, a kind of two-person zero sum differential games and one of the qualitative differential games are presented, from which one can be more concretly to understand the properties of those researched in differential games.Some problems at present are also introduced, such as the games of pursuit in air-to-air combat, the application of differential games in system engineering and the leader-follower strategy,the differential games with imperfect information , differential games with time lag , positional differential games, and the method of functional analysis in solving differential game problems, etc. Of course, these are not the all problems of today.More than 40 literatures are listed for further research.

本文首先叙述了微分对策问题的起源及其初期的发展简史,然后介绍一类二人零和的微分对策问题和一类定性微分对策问题,以进一步说明微分对策问题的性质,这是两种比较基本的微分对策问题。 最后,介绍当前的某些问题。例如,空战格斗中的追逐对策,微分对策在系统工程中的应用以及主——从对策,信息不完全的微分对策,有时滞的微分对策,阵地对策,以及泛函分析方法在微分对策理论中的应用等。当然,这些绝非现代问题的全部。 文末附有参考文献四十余篇,供进一步参考之用。

The problem about the algebraic criterion for unconditional stability with respect to all delay r for the following systemx(t) = Ax(t) + Bx(t -r),r≥0, A, B are constant matrices. has been proposed by A.A.Андpонов[1] in 1946. In case A, B are 2×2 matrices,[2, 3, 4] have considered this problem, but the results they have given are not evident and not complete. [5] has given a result recently (1984). In this Paper we give a counter example to show that the result given in [5] is incorrect, that is, the conditions...

The problem about the algebraic criterion for unconditional stability with respect to all delay r for the following systemx(t) = Ax(t) + Bx(t -r),r≥0, A, B are constant matrices. has been proposed by A.A.Андpонов[1] in 1946. In case A, B are 2×2 matrices,[2, 3, 4] have considered this problem, but the results they have given are not evident and not complete. [5] has given a result recently (1984). In this Paper we give a counter example to show that the result given in [5] is incorrect, that is, the conditions in [5] are not necessary. We try to reduce this problem to a algebraic criterion of the nonexistence of positive roots of a fourth order equation with real coefficients, in this way, we give the corresponding result for the case where A, B are 2×2 matrices.

考虑定常的时滞微分系统 (*) x(t)=Ax(t)+Bx(t-τ),T≥0,A,B为常数矩阵, 如果对任何实数τ≥O,系统(*)的零解均为渐近稳定,则称系统(*)为无条件稳定。(*)为无条件稳定的代数判定问题由于1946年提出。对A、B为2×2矩阵的情形,文[2,3,4]考虑了这类问题,但所得形式不够明显或条件不够完整。1984年文[5]对此问题给出了结论。本文给出反例以说明文[5]定理4.1所给的代数判定条件不是必要的。我们在此给出了A、B为2×2矩阵时的代数判定,它被归结为四次实系数方程无正根的代数判定。

 
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