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stability of equilibria
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  “stability of equilibria”译为未确定词的双语例句
     This paper studies the following prey predator system with sparse effect d x d t=x 2(a-cx 2)-bxyx+k , d y d t=-dy+αbxyx+kBy using the qualitative theory of ordinary differential equatous,the author has obtained the stability of equilibria,and given the sufficiend conditions for global stability of the equilibria and some biological interpretations.
     利用常微分方程定性理论 ,研究了具有稀疏效应的食饵与捕食系统dxdt =x2 (a-cx2 ) - bxyx+k  ,  dydt=-dy+αbxyx+k得到了平衡点的稳定性 ,并给出了平衡点全局稳定的充分条件和生态解释
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     The Existence and Stability of Equilibria in a Model for HIV/AIDS Transmission in a Heterosexual Population
     非对称异性人口的HIV/AIDS流行病模型的平衡点的存在性和稳定性
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     Stability of Equilibria to a Class of Discrete Nonlinear Breakage Equations
     一类离散的非线性爆炸方程平衡点的稳定性
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     Classification and Stability of Equilibria
     奇点的分类和稳定性
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     Research of Global Exponential Stability of Equilibria of Delayed Cellular Neural Networks
     时滞细胞神经网络平衡点的全局指数稳定性研究
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  stability of equilibria
Neighboring damping, in contrast, affects nearest neighbor distances.?Although stability of equilibria does not depend on the particular type of damping, global basins of attraction do.
      
We give geometric criteria for stability of equilibria (periodic solutions) in competition models.
      
Large Time Behavior and Stability of Equilibria of Degenerate Parabolic Equations
      
Three threshold parameters determine the existence and local stability of equilibria.
      
For the unforced problem, our main interest is in stability of equilibria, while for the forced problem we are interested in steady state behavior of solutions.
      
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In this paper, Bucy's, work [1]and its complement [6] for It equation are generalized. When initial condition belongs to certain class of random variables, uniform stability, stability and asymptotic stability of equilibrium solution of It equation are definded. These definitions generalize Kozin definitions in[3]. Sufficient oonditions for existence of these stabilities are given, which are natural gereralizations of Lyapunov's theorems for deterministic systems. Finally, We give two examples....

In this paper, Bucy's, work [1]and its complement [6] for It equation are generalized. When initial condition belongs to certain class of random variables, uniform stability, stability and asymptotic stability of equilibrium solution of It equation are definded. These definitions generalize Kozin definitions in[3]. Sufficient oonditions for existence of these stabilities are given, which are natural gereralizations of Lyapunov's theorems for deterministic systems. Finally, We give two examples.

本文把Bucy的工作[1]及其补充[6]推广到It方程的场合.对初始条件属于某随机变量类的情况,定义了平衡解按概率一致稳定性、稳定性及渐近稳定性.这些定义推广了Kozin在[3]中的定义.给出的存在性充分条件,则是确定性系统的定理的自然推广.文章最后给出两个例子.

This paper deals with uniqueness, stability and variational principle of boundary value problem, based on the fundamental equations of large plastic deformation theory which talees into consideration the effects of geometrical nonlinearity. Criterion for uniqueness of the solution of the boundary value problem is proposed. Sufficiant condition for stability of equilibrium states is introduced.Sufficiant condition for the identity between variational problem and boundary problem is proposed.

本文从考虑几何非线性的塑性大变形基本方程出发,讨论了塑性大变形问题的唯一性、稳定性与极值原理。提出了确定边值问题的解的唯一性判别准则;分析了平衡状态稳定性的充分条件。最后讨论了边值问题与变分问题等价的充分条件。

This article deals with the linearized stability of equilibrium bifurcating solutions for the equations such as K(x/t)=M(x,λ). Using the concept of operator K-spectrum, the author considers the operator calculus, extends the resolvent formula in functional analysis, and thus develops some results in the theory of spectrum peturhation. On some hypotheses such as semi,simple eigenvalue, K being in-Verible in KN (L(0)) and the bifurcating equation resulted from M(x,λ)=0 being F(u,λ)=0, the author comes to...

This article deals with the linearized stability of equilibrium bifurcating solutions for the equations such as K(x/t)=M(x,λ). Using the concept of operator K-spectrum, the author considers the operator calculus, extends the resolvent formula in functional analysis, and thus develops some results in the theory of spectrum peturhation. On some hypotheses such as semi,simple eigenvalue, K being in-Verible in KN (L(0)) and the bifurcating equation resulted from M(x,λ)=0 being F(u,λ)=0, the author comes to the conclusion that the linearized stability of the equibrium bifurcating solutions for equation K(x/t)=M(x, λ) can be determined by the Iinearized stability of the equibrium bifurcating solutions for equation K(u/t)=F(u, λ) The results of sattinger D. H. is the simple case at K=I in theorem 3.9 of this article.

本文讨论形如这类运动方程的平衡态分歧解(即M(x,λ)=0的分歧解)的线性化稳定性问题。本文采用一个算子的K谱概念,考察广义的算子演算,推广了线性泛函中的预解式,进而推广泛函分析中关于谱摄动的某些结果,在半单特征值以及K在KN(L(0))上存在广义逆和由M(x,λ)=0导出的分歧方程为F(u,λ)=0的条件假设下,得到关于平衡态分歧解的线性化稳定性可由关于平衡态分歧解的线性化稳定性确定的结论,将Sattinger,D.H.的结果作为定理3.9当K=I时的特例。

 
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