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.
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.
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.
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.
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.
通过讨论方程的极限零点和非极限零点，获得了保证其行波解存在惟一性的充分条件。
By deriving limiting zero point of the equation, some sufficient conditions that guarantee the existence and uniqueness of traveling wave solution of this equation are obtained.
作为所得理论结果的某些应用，文中还研究了极大化问题与微分方程组的非零周期解等问题。
For the application of some general theories obtained in the paper, the problems on the maximization and the non-zero periodic solutions for a system of differential equations are also studied.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
通过计算结构常数，对三维可解李三系进行了分类，写出了它们的非零乘法表。
Calculating their structure constants, the authors classify the 3 dimensional solvable Lie triple systems and write their multiplication tables for a basis.
通过计算结构常数，对三维可解李三系进行了分类，写出了它们的非零乘法表。
Calculating their structure constants, the authors classify the 3 dimensional solvable Lie triple systems and write their multiplication tables for a basis.
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