1) uniform stability
一致稳定
1.
By establishing a Lyapunov differential function,we verify the condition of attractability and uniform stability of this equation s solution.
考虑中立型积分微分方程(x(t)-x(t-τ))′=Ax(t)+∫0C(t,s)x(s)ds+F(t),通过构造一个Lyapunov泛函,证明了此方程解的一致稳定性和吸引性的条件。
2.
This paper discusses the difference equation with varied lags, one type of linear self-governing equations; and has obtained the sufficient conditions for its uniform stability and the globally asymptotic stability.
考虑种群模型中常见的线性自治差分方程中一类变时滞差分方程,获得其一致稳定和全局渐近稳定的充分条件,推广了已有的结论,并且证明了两定理的条件不能相互代替。
3.
In this paper, we introduce a new concept of weak stability, uniform stability and uniform asymptotic stability about time-varying interval matrix, the sufficient conditions of these stability about time-varying interval matrices and time-varying interval matrices decomposed are obtained by means of Waze wski s inequality and matrix measure.
引进时变区间矩阵弱稳定、一致稳定、一致渐近稳定的概念 ,利用Wazewski不等式和矩阵测度给出了时变区间矩阵和具分解的时变区间矩阵关于上述稳定性的判别准
2) uniformly stable
一致稳定
1.
In this paper the authors investigate asymptotic stability for perturbing nonautonomous neutral difference equation and obtain sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotic stability.
讨论了具有扰动的非自治中立型差分方程的稳定性,得到了零解一致稳定和渐近稳定的充分条件,推广和改进了文献[1]的结果。
2.
When the solutions of a Cauchy problem tend to zero and the zero solutions are uniformly stable, we get the conditions that a(t) are satisfied.
研究一类非Ｌｏｇｉｓｔｉｃ种群生长模型ｘ＇（ｔ）＝－ａ（ｔ）ｘ（ｔ－１）［１－ｘ２（ｔ）］，对ａ（ｔ）为常数及一连续函数，分别给出了初值问题解趋于零及零解一致稳定所应满足的条件。
3) uniformly stability
一致稳定
1.
The sufficient theorems about stability and uniformly stability for zero solution of the non-autonomous vector differential equation were obtained,and several decision theorems of disturbing differential equations were extended.
利用两个推广的积分不等式,对Lyapunov函数中的限制条件做了改进,得到了非自治矢量微分方程零解的稳定性及一致稳定性的充分性定理,并且推广了扰动微分方程组零解稳定性的几个判定定理。
2.
Sufficient theorems of stability,asymptotic stability and uniformly stability for zero solution of the non-autonomous vector differential equation were obtained,and certain criteria theorems of the disturbing differential equations were extended.
利用两个推广的积分不等式,对Lyapunov函数中的限制条件做了改进,得到非自治矢量微分方程零解的稳定性、渐近稳定性及一致稳定性的充分性定理,推广了扰动微分方程组零解稳定性的若干判定定理。
4) uniform Lipschitz stability
一致Lipschitz稳定
1.
The new integral inequality was used to establish sufficient conditions for uniform Lipschitz stability, uniform Lipschitz.
在新不等式的基础上,根据Lips-chitz稳定性理论,分析了一类非线性微分系统零解的一致Lipschitz稳定、一致Lipschitz渐近稳定,推广的指数渐近稳定等特性。
2.
Criteria on uniform Lipschitz stability are established for a class of impulsive functional differential equations by using Lyapunov funtions and Razumikhin techniques.
讨论了一类脉冲泛函微分方程的稳定性,通过运用Lyapunov函数和Razumikhin定理,建立了使脉冲泛函微分方程一致Lipschitz稳定的充分条件。
5) uniform stability
一致稳定性
1.
By using these theorems, one can assert the uniform stability, uniform asymptotic stability, uniform boundedness and uniform ultimate boundedness of the delay difference systems if the corresponding properties of the solution of the relevant ordinary difference equation are known.
利用这些定理，由无时滞差分方程的一致稳定性、一致渐近稳定性、一致有界性及一致最终有界性等性质可以判定有限时滞差分系统的相应的性质。
2.
This paper deals with the problem on the stability and uniform stability of perturbing n-dimensional Volterra integral and differential equation(t)=A(t)x(t)+∫t0C(t,s)x(s)ds+f(t,x(t)) f(t,0)≡0.
x=A(x)x(t)+∫t0C(t,s)x(s)ds+f(t,x(t))零解的稳定性及一致稳定性,得到零解稳定和一致稳定的若干充分判据。
3.
The sufficient conditions for the uniform stability of the zero solution of this equation are obtained.
应用不等式估值法讨论了非线性脉冲时滞差分方程解的性质,并得到它的解的一致稳定性的一些充分条件。
6) uniformlyφ_0-stable
一致φ_0-稳定
补充资料：稳定/稳定浴
分子式：
CAS号：
性质：照相中的稳定作用是指防止感光材料在保存过程中由于药膜中残留药液的作用而引起的暗褪色、色污染及霉变等弊病。通过正常冲洗或无水洗加工最后一个工序——稳定工序，可稳定照相影像，使之不变或变化极小。能起稳定作用的浴液称稳定浴。无水加工中的稳定浴主要由pH值控制剂、铁隐蔽剂、防霉剂、坚膜剂、软水剂、有机助剂等组成。
CAS号：
性质：照相中的稳定作用是指防止感光材料在保存过程中由于药膜中残留药液的作用而引起的暗褪色、色污染及霉变等弊病。通过正常冲洗或无水洗加工最后一个工序——稳定工序，可稳定照相影像，使之不变或变化极小。能起稳定作用的浴液称稳定浴。无水加工中的稳定浴主要由pH值控制剂、铁隐蔽剂、防霉剂、坚膜剂、软水剂、有机助剂等组成。
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