查询词典 problem of fixed points

On the base that two comparison theorems are established,applying the fixed-point theorems,we investigate the existence of maximal and minimal solutions forfirst order initial value problem and the JKjperiodic boundary value problem of discontinuous differential-integral equations of mixed type in partial-ordered Banach spaces,respectively.

在建立了两个比较定理的基础上，我们应用不动点定理，分别研究了半序Banach空间中不连续的一阶混合型微分-积分方程的初值问题与周期边值问题最大解与最小解的存在性。

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This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

Firstly, we analysize the boundary value problem for linear singular system, several properties for linear singular system are given, and then the existence for boundary value problem to nonlinear singular system is proved by using the previous properties discussed and Schauder's fixed point theorem.

接着，利用Banach不动点定理，研究了Volterra型广义积分微分系统边值问题解的存在唯一性，最后给出了几个推论。

In chapter II,the preliminary knowledgefor accomplishing this research is presented,and the well-posed problem ofthe thin-plate flow of non-Newtonian viscous fluids is testified.By using themonotone operator theory and Schauder's fixed point theorem,the generalizedsolution's existence and uniqueness theorem for the thin-plate flow problem ofnon-Newtonian viscous fluids is obtained under reasonable conditions.

第二章给出了进行本项研究所需的一些预备知识，对非牛顿粘性流体薄板流问题广义解的适定性进行了研究，应用单调算子理论和不动点定理，在合理的条件下，证明了非牛顿粘性流体薄板流问题广义解的存在性，唯一性定理。

This paper was concerned with the Dirichlet-Neumann mixed boundary value problem of bipolar quantum hydrodynamic model in thermal equilibrium. By truncation method and Leray-Schauder fixed point theorem, the existence of solution to the problem is proved. In addition, the uniqueness of the solution was proved as the Plank constant was large enough.

研究了热平衡状态下双极量子流体动力学模型的Dirichlet-Neumann混合边值问题，利用截断方法和Leray-Schauder不动点定理证明了其解的存在性，另外还证明了当普朗克常数充分大时其解是唯一的。

In the study of the first problem, by using the fixed-point index theorems, we get the existence of boundary value problem in neither superlinear nor sublinear condition.

在第二种形式边值问题的研究中，主要利用Krasnoselskii不动点定理，得到了一些正解存在性定理及正解不存在性定理。

The aim of this thesis is to study the existence of positive solutions of boundary value problem for nonlinear second order ordinary differential equations , mainly using the fixed point index theory in a cone. The conditions of the existence of positive solutions of the boundary value problem are given in the thesis. We improve the result of the existence of positive solutions either in the sublinear or in the superlinear conditons.

本文主要利用锥上不动点指数定理，解决非线性二阶常微分方程边值问题的正解的存在性问题，并给出了边值问题正解存在的条件，改进了次线性和超线性条件下正解存在的结论。

M-point boundary value problem; momotone iterative; equation system; impulsive differential-integro equation; three-point boundary value problem; positive solution; Fixed point; Cone

基础科学，数学，数学分析m点边值问题；单调迭代；方程组；脉冲微积分方程；三点边值问题；正解；不动点；锥

Firstly, on the basis of defining the characteristics of project and reviewing the mathematical models for RCPSP, we constructed the mathematical model for RCPSP under the condition that there is non-fixed duration and splittable tasks in project; In order to solve above model, we emphatically discussed the basic principle of the swarm intelligence algorithm--the particle swarm optimization algorithm as well as improvement research for current algorithm, and then proposed a new improved particle swarm optimization algorithm and analyzed its application process in the resource-constrained project scheduling problem; Lastly, in order to confirm the validity of the model and the algorithm, we took an experiment based on 108 instances that produced by problem instance generator which was developed by our team.

首先，在对RCPSP项目特征进行界定以及对项目进度优化模型回顾的基础之上，构建了基于活动工期不固定、任务可拆分特征的RCPSP的数学模型；为了求解上述模型，本文详细阐述粒子群优化算法(Particle Swarm Optimization，PSO)的基本原理以及当前对其改进的研究成果，提出了一种新的改进PSO算法，并对其在RCPSP的应用过程进行了设计；最后，为了检验模型的有效性及算法的优越性，基于梯队内部开发的案例生成器生成的108个算例，进行了仿真试验。

Foods high in this vitamin include oily fish such as salmon, tuna and, and fish liver oils.

维生素D含量高的食物包括诸如大麻哈鱼、金枪鱼和鲭鱼之类的油鱼以及鱼肝油。

We need you to cosign our public letter demanding that press intimidation cease immediately, and that all charges be dropped.

我们需要您cosign我们的公共信，要求记者立即停止恐吓，并要求所有收费下降。