不动点定理

This paper is concerned with the existence of positive solution for singular m-point boundary value problems with p-Laplacian operator by using a fixed point theorem on cone.

运用锥拉伸压缩不动点定理，讨论了一类具有p-Laplacian算子m-点奇异边值问题的正解的存在性，推广和包含了一些已知的结果。

Since bounded closed sets in infinite dimensional space are notcompact generally,in order to employ Horn's fixed point theorem the compactness of operator Pis initially proved in section 3 in this chapter.

由于无限维空间的有界闭集一般不具备紧性，为了应用Horn不动点定理，我们先证明了Poincare算子P的紧性。

This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations with p-Laplacian operator .

利用锥拉伸与锥压缩不动点定理，研究一类具 p-Laplace算子的二阶微分方程的三点边值问题单调正解的存在性，给出了单调正解存在的充分条件，并确定了解曲线的凹凸性。

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。

Application of contraction mapping principle to recursion sequence of number;2. With the Banach contraction mapping principle and Schauder fixed-point theorem, on the consistent condition of nonlinear term, we get .

用压缩映像原理和Schauder不动点定理对带有不跨特征值扰动项的梁方程边值问题进行了研究，在非线性项满足渐进一致性条件下，得到了相应的解的存在唯一性结论。

In this paper, by using the cone theory and mixed monotone iterative technique, the fixed point theorems for a class of mixed monotone multivalued operators in Banach spaces without continuity and compactness are invetigated. The results presented here develop some known ones.

利用锥理论和混合单调迭代序列技术，在不要求任何紧性和连续性的情况下，证明了Banach空间中的一类混合单调集值算子不动点定理，并应用到一阶集值方程中，推广了某些已知结果。

By using Schauder fixed point theorem and upper and lower solution method,we ob- tain some new existence criteria for positive solution to a singular p-Laplacian BVPs with sign-changing nonlinearity involving derivative.

借助于上下解方法和Schauder不动点定理，建立了测度链上非线性项变号的奇异p-拉普拉斯多点边值问题正解的存在性准则。

The existence of triple positive solutions for second order multi-point boundary value problem is investigated by using Avery-Peterson fixed point theorem. Gives the sufficient conditions for the existence of three positive solutions of the problems.

研究一类二阶非线性微分方程的n点边值问题正解的存在性，应用Avery-Peterson不动点定理，给出这类边值问题至少存在3个正解的充分条件。

In Chapter 2, we study the existence of positive solutions for two-point and three-point boundary value problems of nonlinear differential equations.

第一节，运用锥拉伸与锥压缩不动点定理研究二阶三点边值问题正解的存在性。

A three-point boundary value problem for a semi-positone second-order differential equation is investigated.

研究了一类半正二阶非线性常微分方程的三点边值问题u +λf =0 ，u′(0 )=0 ，u(1 )=αu ，利用Krasnosel'skii不动点定理得到了正解存在的一个充分条

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。