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1)  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。
2)  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
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)  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。
5)  Uniformly L-lipschitz
一致L-Lipschitz
6)  Lipschitz stability
Lipschitz稳定
1.
we propose the notion of Lipschitz stability for nonhomogeneous linearigation,establish the existence theory of periodic solutions for periodic nonhomogeneous linear equation.
本文针对一类非齐次线性方程给出大范围Lipschitz稳定性概念,再由相应的引理及线性方程解的性质,建立其周期解存在定理。
2.
Firstly,we propose the notion of Lipschitz stability for ordinary differential equations and functional differential equations;secondly,we establish the existence theory of periodic solutions for periodic differential equations.
引进 Lipschitz稳定性概念 ,建立常微分方程周期解存在定理 ,并将之推广到泛函微分方程的情
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