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Brouwer rs fixed point theorem 布劳威尔不动点原理
The techniques used here are based on the unique continuation of linear parabolic systems arid the fixed point theorem. 所用的技巧主要是建立在线性抛物系统的唯一连续性和不动点方法的基础上。
Aim In order to develop and improve the fixed point theorem in metric space and extend the application. 摘要目的为了进一步发展和完善度量空间中的不动点理论，扩展不动点定理的应用范围。
By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given. 摘要应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。
In this paper, Taskovic M R localized monotone principle is pimroved, and Boyd D W and Wong J S fixed point theorem is extened. 本文得到的结果较好地改进了TaskoviC N R提出的局部化单调原理;推广了Boyd D W和Wong J S的结果.
In this paper, we will give a new type of fixed point theorem for non - self - mapping in a com-plete metrically convex metric space. 本文给出在完备度量凸空间上非自映射的一类新的不动点定理。
In this paper, we discuss the fixed point theorem of map with pseudo-metric function, and generalize the results in (1) and (2). 本文用伪度量函数来讨论映射中的不动点定理,推广了文[1][2]中的一些结果。
And two fixed point theorems in quasi-metric spaces are obtained. 最后，给出了非对称度量空间上的两个不动点定理。
In this paper, we show the existence of the multiple positive solutions of a class of three-order Boundary Value Problems via the fixed point theorem on cone. 摘要利用锥拉伸与锥压缩不动点定理研究了一类三阶两点边值问题的无穷多个正解。
Baaed on the fixed point theorem of two-point extension type, sufficient conditions are derived for the existence of positive periodic solutions of delay difference equations. 摘要利用两点拉伸型不动点定理给出一阶时滞差分方程周期解存在性的充分条件。
Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of,while is complete metric space. 研究了在完备度量空间中一对模糊映象满足一些特定不等式条件,以及当其截集是中非空有界闭集时,该对模糊映象的公共不动点的存在性问题。
The fixed point theorems for generalized D-metric space are proved. 摘要给出了D-度空间一组不动点定理。
The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains. 摘要利用打靶法、上下解方法和不动点定理等工具，研究有孔区域上一类具非局部边值条件的非线性扩散方程。
This article discusses a class of degenerate neutral differential system. Some sufficient conditions of the existence of periodic solution for the system are obtained by using the fixed point theorem. 摘要该文考虑一类退化中立型微分系统，利用不动点定理，得到了这类系统周期解存在的充分条件。
A common fixed point theorem for compatible mappings of type (A) is proved and a application to the existence and uniqueness of solutions of system of functional equations in dynamic programming is given. 摘要证明了(A)型相容映射的一个公共不动点定理，并讨论了起源于动态规划的泛函方程组的解的存在性和唯一性。
The present paper is establish the existence theorem of a class of singular boundary value problems for quasilinear ordinary differential equation with the fixed point theorem as the principal tool, and develops semilinear corresponding results. 摘要本文使用不动点定理建立了一类奇异拟线性常微分方程边值问题正解的存在性定理，发展了半线性所得相应结果。
We are concerned with the periodic BVP on for the Lienard equation x+f(x)x+g(t, x)=e(t)x(0)=x(T), x(0)=x(T)and Laray-Schauder fixed point theorem is used in the studies of the existence of the periodic solutions. 主要利用Leray-Schauder不动点理论研究Lienard方程周期边值问题x?+f(x)x?+g(t;x)=e(t)x(0)=x(T);x?(0)=x?(T)的正解及多个正解的存在性.
We obtain sufficient conditions for the existence of at least three positive solutions for the boundary value problem of a second order functional differential equation this is an application of a new fixed point theorem introduced by Avery and Peterson. 本文利用Avery和Peterson引入的新的不动点定理,得出了泛函微分方程边值问题存在三个正解的充分条件并得出了有关新结果。
By using theory of exponential dichotomies, fixed point theorem and theory of compressed image, the existence and stability of periodic solutions of function (1.8) and (1.9) was dealt with, the conclusions made in the relevant documents was extended. 利用指数型二分性理论及不动点定理和压缩映像原理研究了一类中立型积分微分方程周期解的存在性问题，推广了相关文献的主要结论。
By using theory of exponential dichotomies, fixed point theorem and theory of compressed image, the existence and stability of periodic solutions of function were dealt with, the conclusions made in the relevant documents were extended. 利用指数型二分性理论及不动点定理和压缩映像原理研究了一类中立型积分微分方程周期解的存在性，稳定性问题，推广了相关文献的主要结论。