函子

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。

Using functional integral formalismwe prove that it is indeed the case for the operators concerning nucleon spin structures.

利用泛函积分方法我们证明核子自旋结构中涉及到的这些算子的确属于这情况。

Using operator theory and method of functional analysis, we study theproperties of these three frames correspondingly.

利用算子理论和泛函分析的方法，相应地对这三种框架的性质进行了研究。

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。

Furthermore the existence condition and the variation principle of the differential equation are discussed, and the theory gist of the step-time technologies is presented.

应用相关的势算子理论对抛物型偏微分方程的泛函存在条件及变分定理进行了较系统的讨论，进而指出了"时间步进有限元法"各种处理方法的理论依据。

The first part is to discuss the solvability of Volterra-Stieltjes integral equations.

积分算子理论和积分方程是非线性泛函分析中的一个重要分支。

The Maratos effect occurs if, arbitrarily close to a strict local solution of the NLP, a full Newton step increases both the objective function and the constraint violation, and is therefore rejected by the falter, even though it could be a very good step toward the solution.

当迭代点充分靠近原问题的严格局部解时，完全牛顿步可能会使目标函数值和约束违反度都上升，从而不被滤子接受，影响了算法的收敛速度。

Our methods are based on the the surjection of maximal monotone operators and the critical point theorem of convex functionals.

本文主要利用极大单调算子满射原理和凸泛函临界点理论对半线性抛物型方程在各种控制下的能控性进行了研究。

Based on the surjection of maximal monotone operators, we prove that some semilinear heat equations with weak Lipschitz nonlinear terms are exactly controllable by L〓 0, T: H〓(Ω control; Based on the critical point theorem of coercive convex functionals, we prove that some parabolic equations with Lipschitz nonlinear terms are globally approximately controllable and finite-dimensional exactly controllable by controls acting on mobile supports, and finally, we extend the results to parabolic equations in R〓.

首先利用极大单调算子的满射原理证明了半线性热方程在较弱Lipschitz条件下可通过L〓0.T；H〓(Ω控制实现精确能控。然后通过构造强制凸泛函并利用其临界点理论证明了带Lipschitz非线性项的抛物型方程可通过作用在在移动支集上的控制来实现整体近似能控与有限维精确能控，最后将整体近似能控与有限维精确能控结论推广到无界区域R〓上。

The density functional theory B3LYP/6-31G(superscript * was used to study 9 aconitine analogs and the relationship between structure and toxicity was discussed.

采用密度泛函理论B3LYP/6-31G方法，对附子中的9种乌头碱类成分进行了量子化学理论研究，讨论了该类生物碱的结构和毒性的关系。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。