研究了非线性脉冲微分方程零解的最终稳定性。
This paper investigated the eventual stability of the zero solution of nonlinear impulsive differential systems.
研究了非线性脉冲微分方程零解的最终稳定性。
The asymptotic behavior of linear impulsive differential equations is studied.
特别给出了广义变分不等式存在非零解的充分条件。
In particular, we gain the existence result of non-zero solution for generalized variational inequalities.
结果表明：如果增益大于激光腔损耗，则零解是不稳定的；
The result shows that if the gain is larger than the cavity loss, the zero solution is unstable;
本文讨论了具有两个非线性项的四阶方程零解的稳定性问题。
In this paper, the problem about the stability of the zero solution of a set of four-order equations with two nonlinear terms is discussed.
给出了一个判定齐次线性方程组存在全非零解的充分必要条件。
We present a necessary and sufficient conditions of homogeneous linearity equations existing all-nonzero solution.
利用李雅普·诺夫函数研究常系数线性中立型时滞大系统的零解稳定性。
Zero solution stability of the neutral time delay system of constant coefficient linearity is studied by employing liapunov function.
应用类比法，给出了一类五阶非线性微分方程零解的全局渐近稳定的充分条件。
In this paper, analogy method is used to discuss the global, asymptotical and stable zero solution of non-linear five-order differential equation.
将弱有效解的判断问题转化为判断一线性方程组是否存在非负、非零解的问题。
The problem about how to determine the weak efficient solution of convex multiobjective programming is turned into a problem judge whether an equation has non-negative non-zero solution.
提出未扰动系统出现多重周期解的条件，并给出了一些特殊方程零解的具体重数作为应用；
First, some conditions for the existence of a multiple periodic solutions are given and the multiplicity problem for zero solution of some concrete equations is investigated as applications.
在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。
On the basis of the solution identification theorem in linear equations, a method is presented to ascertain whether there exists all-nonzero solutions to an inhomogeneous linear equation.
在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。
Homogeneous linear equations of n-variables have the non-zero solutions when the rank of its matrix is less than n.
研究了一类边界条件下中立型脉冲双曲方程解的振动性，得到了每个非零解振动的若干充分条件。
In this paper, the oscillation properties of solutions under a kind of boundary conditions for impulsive hyperbolic differential equation of neutral type are studied.
在分析与探讨脉动轴向力作用下梁的参数共振问题时，本文取四种边界条件来分析第二阶次谐波参数共振的稳定区域，确定了零解与非零解的稳定性。
This paper investigates the subharmonic parametric resonance problems of a symmetric orthotropic laminated rectangular plate with simply supported edges by the use of the singularity theory.
文章讨论了一类变系数变时滞微分系统的一致渐近稳定性，利用拉兹密辛型条件及稳定性的有关理论，得到了该系统零解的一致渐近稳定性的简明判据。
Some concise stability criterions for uniformly asymptotic stability of the zero solution of this systems are obtained by using Razumikhin technical and the related theorem of stability.
本文考虑对角型双非线性抛物型方程组，在一般结构条件下，证明广义解局部有界和整体有界，并对一特殊情形，证明了如果解在抛物边界为零，那么它只能是零解。
This paper consider a doubly nonlinear parabolic equations systems in diagonal form, under rather general structural conditions, proved that its generalized solution is bounded locally and globally.
本文研究平面强爆震波对静止的零攻角二维对称薄翼的绕射问题，并求得解析解。
An analytical solution is obtained for the diffraction of strong detonation waves by a stationary two-dimensional thin airfoil.
该系统能进行尺寸链解算，计算工时定额，绘制零件工序图，打印输出零件工序卡和工艺路线卡。
The system can solve dimensional linkage, calculate man-hour quota, make operation drawing, and print out the operation sheet and the process route sheet of a part.
解中包含了任意的初始条件和零输入。
The solution contains arbitrary initial conditions and zero input.
对F1型非线性离散系统进行了分析研究，求出了该类系统零输入响应和非零输入响应的闭合型式解。
In this paper, F1 nonlinear discrete system is analyzed and studied, the enclosed solutions of zero input response and nonzero input response are obtained.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
提出了零阶摄动解的一个改进算法。
An improved algorithm for zeroth order perturbation solution is presented.
然后利用外插值的方法，外推得到光滑因子为零时的积分方程的稳定解。
The stable solutions of the integral equation are obtained by the extrapolation method when the smooth factor equals to zero.
对有定号解的线性方程组或有定号零空间的实矩阵进行了更深入的研究。
In this paper, a more careful research on linear systems with signed solutions and real matrices with signed zero - space is made.
通过构造多项式序列的方法，建立了非线性时滞方程的解的零点分布，给出了较为广泛的振动条件。
The distribution of zeros for nonlinear differential equations with positive arguments by method of polynomial series, and some more explicit conditions to oscillate are given.
分别给出具有第三类齐次边条件的混合问题基本解以及具有零初始条件的混合问题基本解。
The fundamental solution of the mixed problem with the third kind homogeneous boundary condition and that with the zero initial condition are given respectively.
用一种简单的方法重新证明了以下定理：定理：假设A是可解的交错代数，则A是局部幂零的交错代数。
We reprove the following theorem with a simpler means: theorem: let a is the solvable algebra, then a is the local nilpotent algebra.
建立了一个简化的批发价格模型，求出了批发商和零售商纳什均衡解的特征，并且就其现实意义进行了讨论。
The paper builds up a simplified model of the wholesale price contract explains the characteristics of Nash equilibrium solution and discusses the application of the model.
当随机变量的均值为零时，这个解在第一象限上的积分值可简化为一个已知的结论。
When the mean of random variables is zero, the solution is shown to reduce a known result for the value of the integral over the first quadrant.
图论法是解零件加工工艺尺寸链的一种新方法，已在机械行业得到初步应用。
Using the graph theory model for solving the dimension chain in technologic process of component part machining is a new mode.
应用推荐