查询词典 monotone function

This paper considers existence of extreme solutions to first-order differential equations with a parameter by the method of lower and upper solutions with monotone iterations,and monotonic sequence is uniformly converged to the extreme value solution of nonlinear equation after being constructed.

文章利用上下解方法和单调迭代技术讨论了含有一个参数的微分问题极值解的存在性，通过构造单调序列使这个单调序列一致收敛于非线性方程的极值解。

He spoke in a monotone drawl.

他用慢吞吞又单调的语气说话。

In Chapter 4, we study the global attractivity of monotone random dynamical systems.

在最后一章，我们研究了单调随机动力系统的全局吸引性。

For a monotone twist map the well-known Birkhoff fixed point theoremsays that the circles with rational rotation number will break up whence a finitenumber of pairs of periodic points arise,half of which are elliptic and the othershyperbolic.Moreover,around each elliptic periodic point a few of new invariantcurves will appear and make a picture of phase space with a self-similar structure.Again one may ask is there a similar picture for higher dimensional Hamiltoniansystems?

对于单调扭转映射，著名的Birkhoff不动点定理指出，在通有情况下旋转数为有理数的不变曲线一般会破裂，在原来的不变曲线附近会产生有限多对周期点，其中一半是双曲的，一半是椭圆的，而在椭圆型周期点的周围又会产生一圈圈的不变曲线，使得椭圆周期点附近的动力学行为和整个相空间的动力学行为十分相象，换句话说，整个相空间具有无限嵌套的自相似结构，自然又产生了一个问题：对于自由度数目大于2的高维哈密顿系统，其相空间是否有类似的图象？

With the method of upper and lower solutions,its associated monotone iterations and the fixed point theorem,the coexistence solutions to a strongly coupled elliptic system are studied.

采用上下解及相应的单调迭代序列的方法，结合Schauder不动点定理，研究带Dirichlet边界条件的两种群的互惠模型强耦合问题共存解。

Multivalued maximal monotone operator; Multivalued stochastic differential equation; Explicit solutions; Limit theorem; Denjoy's continuity; Non-Lipschitz coefficient; Large deviations

基础科学，数学，概率论、数理统计多值极大单调算子；多值随机微分方程；显式解；极限定理； Denjoy连续性；非Lipschitz系数；大偏差原理

However, if the spectrum distribution of the objective in the field is different, and its difference mainly reflected in a fix band with different monotone, then, the goal of identifying the object could be done by changing photosenser response band and enhancing the contrast of object and background.

但是若视场中的目标具有辐射光谱分布差异，且其光谱分布差异主要体现在某一固定波段具有不同的单调性，那么可以通过有选择地改变光电传感器的响应波段，来提高目标与背景的对比度，从而也可以达到辨识目标的目的。

Chapter two mainly considers the periodic boundary value problems for impul-sive differential equations. Some existence results, obtained by the help of Schaeffers fixed point theorem and the method of upper and lower solutions coupled with the monotone iterative technique.

第二章讨论了两类周期边值问题，通过利用Schaeffer不动点定理，上下解方法和单调迭代方法，建立了解存在的充分条件。

It's like that green alien guy From the Flintstones, The Great Gazoo, popped up beside me and said in his little monotone voice, 'You know you can do a game like this, so do it!'

他说。"这就好像是那个来自the Flintstones的绿色外星人Great Gazoo突然出现在你的身边，并以他那稍显单调的语气说道：'你觉得你能做一款那样的游戏，那就干吧！'"

The task was monotone, but it was a good break from all the Fourier Series and Transforms that was building up in my mind.

这项任务十分单调，但是能让我把学业与测验暂时放于脑后，集中精神的对老菩萨们。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"