查询词典 positive cone

By constructing a special cone and using cone compression and expansion fixed point theorem, we get the existence of positive solutions.

第二章在抽象空间E中仍然考虑第一章中的2n阶Lidstone奇异边值问题的解的存在性，其中f∈C[(0，1)×P，P]，且在t=0，1处具有奇异性。

By changing differential equations into nonlinear integral equation,we study the existence of positive solution of a class of second order differential equations problems by the fixed point theorem of cone expansion and compression,and the fixed point index theorem,then we obtain two multiple positive .

通过将常微分方程转化为非线性积分方程，利用锥拉伸和锥压缩不动点定理和不动点指数讨论了一类二阶常微分方程的正解存在性问题，在一定条件下，得到了几个多重正解定理，同时证明了与此相关的主要引理

By using the theorem on cone expansion and compression and a fixed point theorem on cone,this paper is concerned with the existence of positive solutions for some boundary value problem of singular nonliear semipositive second-order three-point boundary value problem,which improve many known results.

运用锥拉伸与压缩不动点定理研究非线性奇异半正二阶三点边值问题正解的存在性，推广了一些已知的结果。

As for the existence of positive solutions, the cone theory and the fixed point index of condensing mapping are employed, and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear. The conclusions extend and improve the existence theorem which Lou Ben-dong extablished in 1996 about the question of Sturm-Liouville of Banach spaces.

三、对于正解存在性问题，我们应用凝聚映射的不动点指数理论，分别在超线性与次线性情形下进行讨论，获得了一些正解存在的结果，主要结果推广和改进了1996年Lou Ben-dong对Banach空间Sturm-Liouville问题所建立的存在性定理。

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 the priori estimates and degree theory on the positive cone, we obtain some conditions on the existence and non-existence of positive solution, at the same time, we also discussed the properties of the positive solution.

利用先验估计和正锥上的度理论，给出了正解存在的条件，同时，也讨论正解的一些性质。

By means of the semigroup theory, spectrum theory, positive cone theory, integrated equation theory and optimal control theory, we obtain the existence of thresholds of these models, the existence and stability of the infection- free equilibrium and the endemic steady state, and the existence of optimal vaccination strategies, etc.

运用泛函分析中的半群理论、谱理论、正锥理论以及积分方程理论和最优控制理论，系统地研究了这些模型的阈值的存在性，无病平衡态和地方病平衡态的存在性和稳定性，最优接种疫苗策略的存在性等。

The patients with CIN Ⅲ should have a regular postoperative follow up, especially the patients with positive cone margin.

宫颈锥切术后切缘的状态可能与肉眼病变累及宫颈的范围有关，对于切缘阳性的患者临床应严密随访。

The results of immuhistochemistry show: compared with normal retina, more 3-NT-positive cells and iNOS-positive cells appear in inner nucleus layer of diabetic retina; less eNOS-positive cells appear in inner nucleus layer and vascular endoderm of diabetic retina; less nNOS -positive cells appear in inner nucleus layer of diabetic retina; more ET-positive cells, ETRA- positive cells, ETRB- positive cells appear in inner nucleus layer of diabetic retina; moreα- synuclein- positive cells appear in ocular cone and rod layer of diabetic retina. Conclusions 1. RFDD-PCR is an efficient technique for research diseases genomics as a mass screening to complete gene expression with the identifying of candidate gene related to disease.

免疫组织化学结果显示：13-NT和NOS：与正常视网膜相比，8周糖尿病大鼠视网膜中，INL的3-NT和iNOS免疫阳性细胞明显增多，INL和血管内皮层的eNOS阳性细胞明显减少，INL的nNOS阳性细胞也明显减少；2ET及ETR：与正常视网膜相比，8周糖尿病大鼠视网膜中，ET、ETRA、ETRB免疫阳性细胞明显增多，增多的阳性细胞主要集中于INL，而在血管内皮层增多不明显；3α-synuclein：与正常视网膜相比，8周糖尿病大鼠视网膜中，α-synuclein免疫阳性细胞明显增多，增多的阳性细胞主要集中于视网膜视锥视杆层。

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。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了