查询词典 monotone increasing function

The whole contents is divided into five chapters. In chapter 1, as the beginning of this paper, we offered some relative knowledge, such as the cone theory and semi-order method in nonlinear functional analysis. Moreover, we established a new fixed point theorem of the mixed monotone iterative operator.

全文共分成五章：第一章作为准备知识给出了本文要用到的相关知识内容，其中包括非线性泛函分析中的锥理论及半序方法，并建立了新的混合单调算子不动点定理。

In this paper, one sufficient condition for the global asymptotical stability of the three-dimensional cooperative system is derived using the nonpositive divergence and the properties of monotone flow.

利用非负散度和单调流性质推导出三维合作系统全局渐近稳定的充分条件，并将该条件应用到一些具体的三维合作系统系统的稳定性判定中，所得结果说明了Hirsch所提出的猜测的正确性，同时推广和改进了相关文献的已有研究成果。

Normal cone ; Mixed monotone operator ; a-concave operator ;-a-convex operator ; Fixed point

正规锥；混合单调算子；α-凹算子；-α-凸算子；不动点

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

By using the cone and partial ordering theory, it is studied that fixed point theorems non-monotone in Banach spaces, some new coupled fixed point theorems are abtained.

利用锥与半序理论，研究Banach空间不具有单调性的一类二元算子的不动点，得出了新的耦合不动点定理，是某些已有结果的改进和推广。

In this paper, we mainly apply theory of ordering in nonlinear functional analysis, cone theory, topological degree theory, cone expansion and compression theory, and the method of upper and lower solutions, partial ordering method, iterative method to study some nonlinear differential equations BVP and fixed points problems of mixed monotone operators, and obtain some new results.

中文摘要：在本文中，我们主要应用非线性泛函分析中的半序理论，锥理论，Leray-Schduder拓扑度理论，锥拉伸与锥压缩不动点理论，以及上下解方法，半序方法，迭代方法对一些非线性微分方程边值问题和混合单调算子的不动点问题进行讨论，并得到了一些新成果。

New results in the perturbation theory of maximal monotone and m-accretive operators in Banach spaces.

所以本文的结果改进和推广了文献［3］和文献［4］中的相应结论。

Use of monotone color to a fixed quadrilateral painted a color.

使用单调着色给四边形涂上固定的一种颜色。

There's nothing more you can learn from pain, but here it comes again—with its monotone, its idiot drone, like a brick wall against which thinking smacks its big skull until it's juiceless fruit the devil reams clean with red teeth and razor-blade tongue.

你已经痛苦至极但它又来了——伴随着单调声响，和愚蠢的嗡营，像一堵砖墙靠着它，思想击打自己硕大头骨直至自己无汁的果实被魔鬼用红牙齿和剃刀片的舌头榨光。

By using the resolvent operator technique associated with relaxed-monotone operators, we construct a new iterative algorithm for solving the system of generalized mixed quasi-variational-like inclusions. We also prove the existence of solutions and the convergence of iterative sequences generated the iterative algorithm.

利用松弛－-单调算子的豫解算子技巧，给出了求解这类广义混合拟似变分包含组的迭代算法，并证明了由迭代算法生成的迭代序列强收敛于该变分包含组的精确解。

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。