查询词典 monotone nonincreasing function

For the monotone class of filters, the robust stability test is similar to that of Kharitonov theorem, which only needs to test four extreme polynomials of the class. However, for the non-monotone class of discrete systems, the test must examine possible combinations of all extreme polynomials.

单调系统簇的稳定性检验与Kharitonov定理的检验类似，只需检验集合中的四个端点或复多项式，而非单调系统需检验所有可能的端点复多项式的组合。

In this paper, by using the cone theory and mixed monotone iterative technique, the fixed point theorems for a class of mixed monotone multivalued operators in Banach spaces without continuity and compactness are invetigated. The results presented here develop some known ones.

利用锥理论和混合单调迭代序列技术，在不要求任何紧性和连续性的情况下，证明了Banach空间中的一类混合单调集值算子不动点定理，并应用到一阶集值方程中，推广了某些已知结果。

With the monotone increasing and monotone decreasing ofψ-functions, we obtained some useful conclusions.

我们同样将ψ函数引入无限时滞的中立型随机系统，得到更普通的矩估计和轨道估计，在ψ函数单调减少和单调增加两种情况下，分别给出了方程解的矩稳定性和矩有界性，以及方程解的轨道稳定性和轨道有界性。

The numerical simulations reproduce fully the evolution characteristics of SW from monotone increasing to monotone decreasing.

分析表明这个中层涡旋实际上是中层大气里一个中尺度闭合低压造成的，这个闭合低压是由高空槽加深发展而来的。

By use of the stretch and compression fixed point theorem of normic form in cone ,the sufficient conditions for the existence of monotone increasing positive solutions and monotone decreasing negative solutions are obtained to the boundary value problems.

运用锥拉伸与锥压缩不动点定理，分别得到了边值问题单调递增正解和单调递减负解存在的充分条件。

It is easy to see that the composite of two monotone mappings is also monotone.

容易看出两个单调函数的复合也是单调的。

Secondly, we define a monotone operator and prove that the orthogonal projection is the solution for the monotone operator equation.

其次定义了一个单调算子，利用单调算子的理论，证明了求解这个正交投影等价于求解一个单调算子方程。

By using the cone and partail ordering theory, and mixed monotone operator theory in nonlinear funtional analysis, the existence and uniqueness of the common fixed point for two non-monotone binary operator are discussed in partial ordering Banach space.

利用锥与半序理论和混合单调算子理论，讨论了半序Banach空间中两个非单调二元算子的公共不动点的存在性和唯一性，并给出了迭代序列收敛于公共不动点的误差枯计，所得结果是某些已知结果本质改进和推广。

Second, in the forth part, the writer used relationshipin quasi--variat iona1 inequal ity, pseudo-variational inequality and monotone variational inequality and used the solution of monotone GVIP to solute quasi?variational inequality,pseudo?variational inequality. Also some important conclusion were given.

二。第四部分利用了拟变分不等式、伪变分不等式及强变分不等式之间的关系，利用已知的单调广义变分不等式的解的情况来研究拟变分不等式、伪变分不等式及强变分不等式的解的情况，并得出一些重要的理论。

Mixed monotone operator; Singular two-point boundary value problem; Generalized e-concave operator; Generalized e-convex operator; Mixed monotone multivalued operator; Fixed point

基础科学，数学，数学分析混合单调算子；奇异两点边值问题；广义e-凹算子；广义e-凸算子；混合单调多值算子；不动点

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。