查询词典 fixed point theorem

Chapter three deals with the controllability of a nonlinear integrodifferential systems ofSobolev type with nonlocal condition in Banach spaces. The results are obtained by using semi group theory and the Schauder fixed point theorem.

本章利用算子半群和Schauder不动点定理，在Banach空间中讨论了带有非局部初始条件的一类非线性Sobolev型积分微分系统的可控性问题。

In chapter 6, we discussed the wavefront solution of a kind of lattice differential equation which derives from diverse fields. We obtained the wavefront solution by using sup-subsolution iteration when the coupled functions are quasimonotone, and by applying Schauder fixed point theorem, we also obtained the wavefront solution when the coupled functions have a different quasimonotone property.

在第六章中，我们对一类从实际问题中抽象出来的二阶时滞格微分方程的行波解进行了讨论，用单调迭代的方法讨论了耦合函数具有拟单调性时行波解的存在性，用不动点的方法讨论了耦合函数具有指数拟单调性时行波解的存在性。

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。

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 and uniqueness of Verhulst's partial differential equations on the population mathematical models were proved under an assumed condition by Schauder's fixed-point theorem and Gronwall's lemma.

讨论了在一定的假设条件下，Verhulst型人口模型弱解的存在性、唯一性和渐近性。

Chapter 2 discuss firstly the local existence of solutions for a class of abstract functionalintegro-differential equations with unbounded delay by Schauder's fixed point theorem, then byintroducing an inequality condition and applying the continuity property of solutions it obtainsthe global existence of the solutions.

第二章先利用Schauder不动点定理讨论一类具有无限时滞抽象泛函积分微分方程解的局部存在性，然后引入一不等式条件并利用解的延拓性质获得了解的整体存在性

Aimed at the mathematic problem in the model of the pendulum oscillation,the paper introduces the study on the existence of odd-harmonic solutions to second order semi-linear differential equation which describes the model of the pendulum oscillation by using upper and lower solution method monotone iterative technique and the Schauder fixed point theorem respectively.

针对摆型振动模型中的数学问题，分别采用上下解方法、单调迭代法及Schauder不动点定理研究了摆型振动模型的二阶半线性微分方程奇调和解的存在性。

In this paper,we discuss the existence of positive solution for singular positive boundary value problem of second order differential equations by using a general cone fixed point theorem .

利用一个普通的锥不动点定理研究了二阶奇异非共振边值问题正解的存在性。

We introduce a set of real functions H, and use to it to give a fixed point theorem of tother type for complex mappings on complete metric spaces, which improves and generalizes the corresponding results on compact metric spaces or under the condition of weakening compactness obtained by Fisher, Telci and Xu Xiao-li, respectively.

利用引入的实函数类H，在完备度量空间上给出了复合映射的另一种类型的不动点定理，改进并推广了Fisher、Telci和徐晓立等在紧致度量空间上或在弱化紧性条件下得到的相应结果。

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。

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。