本文提出了一个解不等式约束非线性规划问题的有效方法。
A new efficient method for solving nonlinear programming problem is studied in this paper.
在部分生成锥内部凸-锥-凸映射下，得到了既有等式约束又有不等式约束的向量优化问题弱有效解的最优性必要条件。
Under the conditions of Partial ic-convex like Maps, optimality necessary conditions of weak efficient solutions for vector optimization problems with equality and inequality constraints are obtained.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
提出了用解矩阵迹的不等式设计动力系统镇定控制器的一种新方法。
A new kind of stabilizing controller design method for dynamic systems is proposed by solving trace inequalities of matrices.
在适当的条件下，通过建立一个先验不等式，证明了其唯一非负解是平凡的。
By establishing a prior inequality, we prove that, under suitable conditions, the unique non-negative solutions of the problems are trivial.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
本文研究集值向量变分不等式的严格可行性与可解性之间的关系。
In this paper, we investigate the relationship of strict feasibility and solv - ability for the multivalued vector variational inequality.
通过建立泛函微分不等式，研究了一类高阶中立型偏泛函微分方程解的振动性。
By establishing a functional differential inequality, some sufficient conditions are obtained for the oscillation of solutions of certain partial functional differential equations.
利用其等价的抛物拟变分不等式，得到了该问题古典解的存在唯一性。
We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
我们利用边界层校正法以及微分不等式理论证明了解的存在定理，并构造出其解的一致有效渐近展开式。
Using the method of boundary layer correction and the differential inequality theory, we prove the existence theorem of solutions and construct the uniformly valid asymptotic expansions of.
采用线性矩阵不等式技术，将问题转化为一线性凸优化算法，可得问题的全局最优解。
Using the linear matrix inequality (LMI) technique, the problem is converted into a linear convex optimization algorithm so that a global optimization solution is obtained. Finally.
给出广义拟变分不等式解存在的充分条件。
The sufficient conditions for generalized quasi-variational-like inequalities are presented.
然后，运用微分不等式理论，证明了形式渐近解的一致有效性，并得出了解得任意阶的一致有效展开式。
And then, the uniform validity of solution is proved and the uniform valid asymptotic expansions of arbitrary order are obtained by using the theories of differential inequalities.
我们只证明这个不等式方程，而没有证明标准数据流方程(8)，原因是我们所感兴趣的只是解的正确性而不是解的最优性。
We only prove an inequation rather than the standard dataflow equation (8) because we are interested only in the correctness of the solution, not in its optimality.
采用线性矩阵不等式和多凸性处理方法，证明了该问题等价于线性矩阵不等式的可解性问题。
In terms of multiconvexity and linear matrix inequality, this problem is proved to be equivalent to an LMI feasible problem.
使用仿射变换内点回代技术的信赖域子空间算法解线性不等式约束的非线性优化问题。
We present an affine scaling trust region algorithm with interior back - tracking and subspace techniques for nonlinear optimizations subject to linear inequality constraints.
为此先推导离散格林函数的权模估计和有限元解的渐近不等式展开，然后给出公式的证明。
For this, we derive the weighted estimates for discreet Green function and the asymptotic error expansion inequalities, and then the proofs of the formulas are given.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
作为应用，得到一类参数向量优化问题和参数向量变分不等式的解的连续性。
As its applications, the continuity of solution mappings for a class of parametric vector optimization problem and parametric vector variational inequality is obtained.
本文首次提出将“解线性伪布尔不等式系统”的算法应用于IIR数字滤波器系数字长的优化问题。
In this paper, the writer proposes a method known as linear Pseudo-Boolean inequality system programming for solving the optimization of coefficient words length of IIR digital filters.
第三部分，利用辅助原理研究了广义集值非线性混合似变分不等式的解的存在性，收敛性及算法的稳定性。
In the last section, we introduce and study a class of variational-like inequalities by applying the auxiliary principle technique.
讨论了关于集值映象的混合似变分不等式的解的存在性。
The existence of solutions for the mixed variational-like inequalities on multi-valued mapping was studied.
利用微分不等式理论，得到了原初始边值问题解的一致有效的渐近解。
The uniformly valid asymptotic solution to the original initial boundary value problems was obtained by the theory of differential inequalities.
本文对混合拟似变分包含问题提出新的辅助变分不等式，首先证明辅助变分不等式存在唯一解。
This paper presents a new auxiliary variational inequality for solving mixed quasi-variational-like inclusions. First, proved the auxiliary variational inequality has unique solution.
建立了一个新的极大极小不等式，并利用它研究了仿紧集上一类新型广义双拟变分不等式解的存在性问题。
A new minimax inequality theorem is established, which will be used to study the existence problem of solution for a new class of generalized bi-quasi-variational inequality.
用矩阵不等式给出了模糊反馈增益和模糊观测器增益的存在的充分条件，并将这些条件转化为线性矩阵不等式（LMI）的可解性。
Sufficient conditions for the existence of fuzzy state feedback gain and fuzzy observer gain are derived through the numerical solution of a set of coupled linear matrix inequalities(LMI).
用矩阵不等式给出了模糊反馈增益和模糊观测器增益的存在的充分条件，并将这些条件转化为线性矩阵不等式（LMI）的可解性。
Sufficient conditions for the existence of fuzzy state feedback gain and fuzzy observer gain are derived through the numerical solution of a set of coupled linear matrix inequalities(LMI).
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