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inequality technique
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  不等式技巧
     Methods Suitable Lyapunov functionals were constructed and elementary inequality technique na1a2…an ≤an1+an2+…+ann,was applied.
     方法通过构造合适的Lyapunov函数和利用基本不等式技巧na1a2…an≤an1+an2+…+ann进行研究。
短句来源
     uniqueness. and asymptotic cstinlates of solLltions of singularly perturbed boundary value problems for a class of third order nonlinear diffcrellLial ecluatlonsεx' =f(t,x .x',ε),x(0) = A . g(X' (0),x'(0) .ε) = 0 .h (x (1). ε) = 0, by making use of Volterra type integral operator and differential inequality technique.
     本文利用Volterra型积分算子和微分不等式技巧给出了一类三阶非线性微分方程奇摄动边值问题:εX=f(t,x,x,ε,x(0)=A,g(x'(0),(0),ε)=0,h(x(1),x(1),ε)=0解的存在性.唯一性及渐近估计.
短句来源
     By using the limit method and iteration method of the analysis theory and inequality technique,the sufficient conditions are obtained for global attractivity of the positive equilibrium of the nonlinear difference equation.
     利用分析理论中的极限方法和迭代方法以及不等式技巧,分别给出了该方程的正平衡解是全局吸引的若干充分条件.
短句来源
     These conditions are derived by using suitable Lyapunov function method and combing with inequality technique.
     利用恰当的Lyapunov函数结合不等式技巧得到了这些条件.
短句来源
     Shows the existence and asymptotic estimates of singularly perturbed third order nonlinear boundary value problem by making use of volterra type integral operator and differential inequality technique.
     利用微分不等式技巧和Volterra型积分算子,研究了一类三阶非线性奇摄动边值问题解的存在性和渐近估计.
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  “inequality technique”译为未确定词的双语例句
     Sufficient conditions for the existence 、 uniqueness and exponential stability of the periodic solutions are established by using the continuation theorem of coincidence degree theory, nonnegative matrices theory and differential inequality technique.
     在第四章中,我们利用重合度理论中的延拓定理,不等式、矩阵理论及Lyapunov函数(泛函)方法,研究了具变时滞与复杂时滞的细胞神经网络周期解的存在性、唯一性及其全局指数稳定性。
短句来源
     Upon the proposed performance condition and by means of linear matrix inequality technique, both full-order and reduced-order robust L 2- L ∞ filtering problems are solved in a unified framework.
     利用该判据 ,采用线性矩阵不等式技术推导了多面体不确定系统的全阶和降阶鲁棒L2 L∞ 状态估计新方法 .
短句来源
     The invariant set,global attractive set and global attractor of static neural network with time-varying delays are studied by using properties of M-matrix and matrix inequality technique.
     利用M-矩阵的性质及矩阵不等式的分析技巧,研究变时滞静态神经网络的不变集、全局吸引集和全局周期吸引子.
短句来源
     Based on the sufficient condition and the technique of parallel distributed compensator, a global controller ensuring the closed-loop system to be robust D-stable was designed by means of linear matrix inequality technique.
     基于这一条件和并行分布补偿技术,用线性矩阵不等式方法,设计全局鲁棒D-稳定控制器.
短句来源
     On the other hand, as to the time domain methods, based on Lyapunov-Krasovskii function method, Riccati equation method, linear matrix inequality technique, along with the skills of equality and inequality transformations, the robust stabilization and robust H controlproblems are studied via state feedback for some kinds of uncertain time-delay systems, and delay-independent as well as delay-dependent results are obtained.
     时域方法方面基于Lyapunov-Krasovskii泛函方法、Riccati方程方法、线性矩阵不等式(LMI)技术,以及代数等式、不等式变换技巧等主要处理手段,通过状态反馈分别研究了不确定时滞系统的鲁棒镇定及鲁棒H∞控制问题,得到了时滞无关和时滞依赖两种不同结果。
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  相似匹配句对
     technique.
     这一技术可以增加3dB带宽。
短句来源
     N. inequality.
     N不等式及Ambrosetti的山路引理证明了方程存在非平凡解.
短句来源
     Inequality
     不等式(之3)
短句来源
     person's technique.
     person's(黏膜发音管成形)术。
短句来源
     The correction of angular deformity by Ilizarov technique in children with limb inequality
     应用Ilizarov技术矫正肢体短缩成角畸形
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  inequality technique
Different from the normal approach, that's to say, without resorting to any Lyapunov function, these results are obtained by utilizing generalized Halanay inequality technique and combining the theory of exponential dichotomy with fixed point method.
      
Based on linear matrix inequality technique, a new method is developed for designing fuzzy stabilizing controllers via static output feedback.
      


In this paper we consider the singular perturbations of boundary value problems for a class of third order nonlinear ordinary differential equations. The asymptotic expansions of the solutions are constructed by the method of boundary layer corrections. Moreover, the existence of the solution and the estimation of the remainder are simply derived by means of the higher order differential inequality techniques.

本文研究一类三阶非线性常微分方程边值问题的奇摄动,应用边界层校正法构造出解的渐近展开式,并借助于高阶微分不等式的技巧较简单地导出解的存在性和有关的余项估计。

In this paper, we consider the boundary value problem: where ε is a small positive parameter. Under some suitable assumptions, using the method of "boundary layer corrections" and the differential inequality techniques, we obtain an uniformly efficient asymptotic solution which includes the boundary layer and can be approximated any times.

本文考虑高阶拟线性微分方程边值问题:εy~(n)=f_1(t,ε,y,……,y~((n-2)))y~((n-1))+f_2(t,ε,y,……,y~((n-2)))0

In the present paper, we study the general boundary value problems of nth-order nonlinear differential equations by means of differential inequality techniques and obtain the existence theorems of solutions for the boundary value problem (1. 2).

本文应用微分不等式方法和技巧研究一般n阶微分方程的混合边值问题,得到边值问题(1.2)的解的存在定理.

 
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