查询词典 monotone sequence

The researches in this paper have offered solutions to initial value problem for ordinary differential equation involving difference of two monotone functions, ordinary differential equation with integral boundary conditions, and first-order impulsive ordinary differential equation with anti-periodic.

本文结果包含了具有两个函数差的常微分方程初值问题(当 Ik=Gk=0，λ1=λ2=0 时)，常微分方程积分边值问题(当 Ik=Gk=0，g=0，λ1=0，λ2=±1时)，一阶脉冲微分方程反周期边值问题(当 g=0，Gk=0，λ2=d=0 时)的相关结果。

Differential Difference Equation; Neutral Functional Differential Equation; Stability Switch; Characteristic Equation; Stability; Liapunov Method; Monotone Semiflow; Periodic Solution

基础科学，数学，数学分析微分差分系统；中立型泛函微分方程；特征方程；稳定性开关；解的稳定性；李雅普诺夫方法；单调半流；周期解

This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations with p-Laplacian operator .

利用锥拉伸与锥压缩不动点定理，研究一类具 p-Laplace算子的二阶微分方程的三点边值问题单调正解的存在性，给出了单调正解存在的充分条件，并确定了解曲线的凹凸性。

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。

The small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。