查询词典 monotone sequence

By employing the approaches for upper and lower solutions and monotone iterative technique, the authors have obtained the sufficient conditions for the existence of coupled maximal solution and minimal solution.

通过上下解方法和单调迭代技术得到了边值问题存在耦合极大解β-和极小解α-的充分条件。

Then we prove a nonsmooth minimax theorem by usingsome relative results about multi-valued maximal monotone mappings. Finally, we construct a nonsmooth minimax network to search for thesaddle points of the saddle functional. We have also proved that thetrajectory of the network is asymptotically convergent to thesaddle point of the saddle functional by usying Lyapunov function.

我们先介绍有关Clarke的广义梯度，次梯度及鞍泛函的有关结论；然后利用多值极大单调映象的满射性结果证明了一个非光滑的minimax定理；最后建立了一个非光滑的minimax神经网络来求解泛函的鞍点，并在一定的条件下构造出LYAPUNOV函数来证明网络的轨道渐近收敛于鞍泛函的鞍点。

On the one hand,by using the monotone iterative method with upper and lower solutions or anti-order upper and lower solutions,the author obtains the existence of maximum solution and minimum solution.

存Banach空间，一方面运用一般上下解及反序上下解单调迭代方法，并结合非紧性测度的性质，研究了二阶常微分方程周期边值问题最大解与最小解的存在性。

In Chapter 3,almost monotone approximation isproposed for nonlinear two-point boundary value problems.

在第三章，我们提出了非线性两点边值问题的几乎单调逼近。

In order to solve this problem, based on monotone approximation of inverse distribution functions, synchronization is achieved.

论文也给出了在函数不具有单调性的假定下，公共随机数法可以衰减方差的一个定理和函数具有单调性时的两个推论。

Key words:Almost monotone approximation,Boundary value problems,Non-linear elliptic systems

在第五章，我们提出了具有拟单调性的非线性椭圆型方程组边值问题的几乎单调逼近。

V Roytburb′s results are generalized to inhomogeneous cases.Firstly,a monotone approximation to the flat function p is constructed,then the solutions of corresponding mudification system are estimated.

将V Roytburb的结果推广到非齐次情形，先对平坦函数p进行单调修正，再对修正方程组的解进行估计，最后比较原方程组的解和修正方程组解之间的关系。

Second order differential inclusion; boundary condition; usc multivalued map; fixed point; monotone map; Yosida approximation; solution tube; upper-lower solutions; critical point; PS-condition; C-condition; Sobolev space

基础科学，数学，数学分析二阶微分包含；集值边界；上半连续集值映照；不动点；单调算子； Yosida逼近；解管道；上下解；临界点； PS-条件； C-条件； Sobolev空间

This thesis presents some works in the alternating directionmethod for solving a class of asymmetric monotone variational inequalities.

本文研究了一类单调非对称的变分不等式的交替方向法。

It is also proved that the class of monotone increase functions is PAC solvable under a GA with reproduction and random mutation.

本文还证明了对于由复制和一个按顺序的变异构成的遗传算法，严格单增的函数是PAC可解的，单峰函数是非PAC可解的；对于由复制和随机变异构成的遗传算法，严格单增函数是PAC可解的。

His female bullfighter Lydia gradually Health love, but she was in a vegetative state after the Bulls Zhuangcheng away from her, just because Lydia's ex-boyfriend showed more affectionate than he is like love.

他对女斗牛士莉迪亚渐生爱意，却在她被公牛撞成植物人后离她而去，仅仅因为莉迪亚的前男友表现出好似比他更深情的爱。

I know of none which are not easy to answer, but what I am trying to do now is only by a series of hints to throw some light on the narrow path of legal doctrine, and upon two pitfalls which, as it seems to me, lie perilously near to it.

我不认为有什么难以回答的问题，但我现在要做的仅仅是通过一系列线索，来给法律理论的狭窄路径以及在我看来离它近得危险的两个陷阱提供一些启示。