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  global
     Study on Some Stochastic Global Optimization Algorithms
     若干随机性全局优化算法的研究
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     Some Deterministic Methods for Global Optimization
     全局优化的几种确定性方法
短句来源
     Transformation Function Methods for Nonlinearly Global Optimization
     非线性全局优化的变换函数方法
短句来源
     Global Optimality Conditions and Global Optimization Algorithms for Quadratic 0-1 Problems
     0-1二次规划的全局最优性条件及算法
短句来源
     Research on the Filled Function Methods for Nonlinear Global Optimization
     非线性全局优化中填充函数方法的研究
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  the global
     The Global Behavior Analysis of Two Competitive Models in Higher Dimensional Systems
     两个高维竞争模型的全局性态分析
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     THE GLOBAL STRUCTURE OF TRAJECTORY OF THE DIFERENTIAL EQUATION (dX)/(dt)=-y+dx+mxy-y~2(dy)/(dt)=x(1+ax)
     方程(dx)/(dt)=-y+dx+mxy-y~2,(dy)/(dt)=x(1+ax)的轨线的全局结构
短句来源
     THE GLOBAL STRUCTURE OF TRAJECTORY OF THE DIFFERENTIAL EQUATION (dx)/(dt)=-y+dx+mxy-y~2 (dy)/(dt)=x(1+ax)
     方程(dx)/(dt)=-y+dx+mxy-y~2,(dy)/(dt)=x(1+ax)的轨线的全局结构
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     The Global Asymptotic Stability of Second-order Nonlinear Differential Equations
     二阶非线性方程的全局渐近稳定性
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     THE GLOBAL STRUCTURES AND BIFURCATIONS OF THE EQUATION (Ⅱ)_(l=0) WITH NO LIMIT CYCLE AND STABLE STRUCTURE
     方程(Ⅱ)_(l=0)的无环结构稳定的全局结构与分支
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  a global
     We establish a global higher integrability result for the derivatives of the solutions to obstacle problems associated with the second order degenerate elliptic partial differential equation divA(x,u(x))=0 with conditions |A(x,ζ)|≤β(|ζ|+k(x))~(p-1) andA(x,ζ)·ζ≥α|ζ|~p,where p>1.
     对于满足条件|A(x,ζ)|≤β(|ζ|+k(x))p-1及A(x,ζ). ζ≥α|ζ|p的二阶退化椭圆偏微分方程divA(x,u(x))=0,得到了障碍问题解的微商的全局高阶可积性结果.
短句来源
     Via the variational methods and analytic technique,we prove a global compactnessresult for the singular critical problem-Δu-μ xu 2= u 2x*(ss)-2u+λ u q-2u with Dirichlet boundary condition onΩ.
     运用变分方法和分析技巧,证明了带有Dirichlet边界条件的奇异临界问题-Δu-μxu 2=u 2x*(ss)-2u+λu q-2u的一个全局紧性结果.
短句来源
     GTPP──A GLOBAL TEST POINT PLACEMENT ALGORITHM
     GTPP──一种全局测试点插入算法
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     The point of the approach is a global alignment algorithm-CMENW(Contiguous-Matches Encouraging Needleman-Wunsch) and a multi-sequence alignment algorithm-HMSA(Hierarchical Multi-Sequence Alignment).
     该方法的核心是该文提出的两种序列联配算法:奖励相邻匹配的全局联配算法CMENW(Contiguous-Matches Encouraging Needleman-Wunsch)和层次式多序列联配算法HMSA(Hierarchical Multi-Sequence Align-ment).
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     We establish a new sufficient condition for the equilibrium of (*) to be a global attractor, and also improve some results obtained by Gopalsamy, Kulenovic and Ladas [1].
     我们建立了(*)的平衡是全局吸引子的一个新的充分条件,还改进了Gopalsamy,Kulenovic和Ladas[1]所得到的某些结果.
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  global asymptotic
     A new criterion on the global asymptotic stability of the equation ■+a■+f(■)+g(x)=0
     方程■+a■+f(■)+g(x)=0的全局渐进稳定性的一个新判据
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     ON THE GLOBAL ASYMPTOTIC STABILITY OF THE EQUATION +f()+g()+cx=0
     关于方程+f()+g()+cx=0的全局渐近稳定性(英文)
短句来源
     ON THE GLOBAL ASYMPTOTIC STABILITY OF THE EQUATION +f+h+g(x)=0
     关于方程+f+h+g(x)=0的全局稳定性
短句来源
     Necessary and Sufficient Conditions for the Global Asymptotic Stability of the Trival Solution of System(dx)/(dt)=h(y)-F(x)and(dy)/(dt)=-g(x)
     方程(dx)/(dt)=h(y)-F(x),(dy)/(dt)=-g(x)零解全局渐近稳定的充要条件
短句来源
     This paper offers a sufficient criterion which assures the global asymptotic stability of the zero solution of the system of equationsdx/dt=y,dy/dt=z,dz/dt=-cx-g(y)-f(z),and especially of the equation(?)
     本方提供了一个保证方程组dx/dt=y, dy/dt=z, dz/dt=—cx—g(y)—f(z)的零解全局渐近稳定,从而保证方程(?)
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  global
A local-global principle is proved by the second named author in the adjacent paper of this volume.
      
A local-global principle for finiteness properties ofS-arithmetic groups over number fields
      
In this paper a local-global principle forS-arithmetic groups over number fields is proved.
      
Geometric construction of the global base of the quantum modified algebra of
      
For a classical semisimple Lie algebra, we construct equivariant line bundles whose global sections afford representations with a nilpotentp-character.
      
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  the global
Geometric construction of the global base of the quantum modified algebra of
      
In 1991, Ingrid Daubechies asked whether there exists a smooth basis satisfying the global uncertainty principle property.
      
Finally, we prove the global convergence and the local second order convergence of the algorithm.
      
In this paper, we study the global asymptotic stability of the zero solution of a generalized Lineard's system
      
Al-Baali, we get the global convergence of the Fletcher-Reeves algorithm with a low-accuracy inexact linesearch.
      
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  a global
Similar to Steinberg's connected and simply connected case [22] and under additional assumptions on the fundamental group of G, a global section to this quotient map exists.
      
The existence and uniqueness of a global smooth solution of this system with Cauchy problem and its stability and time decay rate are studied by means of an elementary energy method.
      
Sufficient conditions of the penalty function attaining a global minimum are obtained.
      
A global rigidity theorem for compact Finsler manifolds satisfying such conditions is proved.
      
Afterwards, a global similarity is calculated for object recognition.
      
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  global asymptotic
On global asymptotic stability of the zero solution of a generalized Lienard's system
      
In this paper, we study the global asymptotic stability of the zero solution of a generalized Lineard's system
      
Global asymptotic stability of the periodic Lotka-Volterra System with two-predators and one-prey
      
Global asymptotic stability for a nonlinear delay difference equation
      
In this paper, a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained, where aε [0,∞] and the initial values x-2,x-1,x0ε (0,∞).
      
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  其他


The problems of stability in the whole, stability in the large with its attracting region, and the quality problem of nonlinear control systems are studied by the Lyapunov's method. The functional relation of the nonlinear element is assumed to be piece-wise linear, continuous or not, and may possess two-valued intervals, but is linear at the origin. Thus the whole phase space can be divided into three simple regions in each of which the differential equations of the system are essentially linear. As a result...

The problems of stability in the whole, stability in the large with its attracting region, and the quality problem of nonlinear control systems are studied by the Lyapunov's method. The functional relation of the nonlinear element is assumed to be piece-wise linear, continuous or not, and may possess two-valued intervals, but is linear at the origin. Thus the whole phase space can be divided into three simple regions in each of which the differential equations of the system are essentially linear. As a result the stability conditions contain also parameters of the nonlinearities.

本文利用李亚普诺夫方法研究非线性控制系统的全局稳定性、大范围稳定和其吸引区的寻求以及一个品质问题.对非线性元件采用了分段线性的模型,从而使得到的条件中也包含有非线性特性的参数.

In this paper we invesigate the relative position of limit cycles of the system dx/dt=-y-y~2+mxy+dx,dy/dt=x(1+ax)(1)where α<0 and dm≠0. It is already known, that(1) can have limit cycles only when dm>0 and|d|<|m|. System (1)has four elementary critical points: O(0,0), M(0,-1), N'(-1/a,y_1'), R'(-a,y_2'), (y_1'>y_2'), where O and R' have index +1, M and N' have index -1. The main result in § 1 is the following: Theorem: (ⅰ)In case m>-a>0 and d>0 sufficiently small system, (1) has just two limit cycles, appearing...

In this paper we invesigate the relative position of limit cycles of the system dx/dt=-y-y~2+mxy+dx,dy/dt=x(1+ax)(1)where α<0 and dm≠0. It is already known, that(1) can have limit cycles only when dm>0 and|d|<|m|. System (1)has four elementary critical points: O(0,0), M(0,-1), N'(-1/a,y_1'), R'(-a,y_2'), (y_1'>y_2'), where O and R' have index +1, M and N' have index -1. The main result in § 1 is the following: Theorem: (ⅰ)In case m>-a>0 and d>0 sufficiently small system, (1) has just two limit cycles, appearing separately in the neigh bourhood of 0 and R'. (ⅱ) In case-a>m>0, when d increases from zero, limit cycles appear first in the neighbourhood of O, and later also in the neighbourhood of R', they may exist at the same time. (ⅲ)In case 0>m>a and m

本文考虑形如 dx/dt=-y+ny~2+mxy+dx,dy/dt=x(1+ax)(1)的第Ⅱ类方程的极限环的相对位置,方程(1)一般有四个初步奇点,两个指标+1的奇点,两个指标-1的奇点(即鞍点)。在§1中,我們給出两个指标+1的奇点附近存在极限环与不存在极限环的某些充分或必要的条件,且給出两个指标+1的奇点附近同时存在极限环与不可能同时存在极限环的充分条件。在§2中,我們分析了方程(1)的軌綫的全局拓扑結构,並分析了两个指标-1的鞍点产生分界环线的可能性,且由这些分界环线的稳定性确定指标+1的奇点附近出現极限环的个数的奇偶性。同时,我們发現了在某些情形,当|d|由零增加至|m|时,在奇点R′附近会突然跳出一个半稳定坏,然后分裂为至少一个稳定环和一个不稳定环。

In this paper the problem of complete stability of a relay control system with non-hard feedback (i.e. ρ=0) is discussed and some sufficient criteria in frequency domain are obtained by Liapunov's second method and Yakubovich's results.By the same method the problem of complete stability of direct relay control systems is also discussed. We obtain a criterion in frequency domain which is more easily ap-plicable than that given in the papers.

本文对切除硬反馈的继电自动调节系统平衡位置的全局稳定性进行了初步的讨论.利用A.M.李雅普诺夫的直接法和B.A.雅库波维奇的结果,给出系统平衡位置全局稳定性的若干频率式的充分判据.文末应用同样的方法,讨论了继电直接调节系统平衡位置的全局稳定性,得到了一个较文献[2,3]易于应用的频率式的充分判据.

 
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