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。
By using the fixed point theorem, we prove some new existence theorems of the solution for this class of nonlinear projection equations in Hilbert Spaces.
利用不动点定理，我们得到了关于这类非线性投影方程解的一些新的存在性定理。
By using the fixed point theorem on cone, this paper studies the existence of positive solutions for first order periodic boundary value problem with impulses.
利用锥上的不动点定理讨论了一阶脉冲微分方程周期边值问题的正解的存在性。
By applying the fixed point theorem, several new existence theorems of solutions for quasi-equilibrium problems are given under noncompact setting of topological Spaces.
应用此不动点定理，在非紧的一般拓扑空间中给出了几个关于拟平衡问题的解的存在性定理。
Based 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.
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。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
The fixed point theorems for expansion mappings and the common fixed point theorem for a pair of mappings are given in 2 metric spaces under the condition of weakening mappings continuance.
在2—距离空间中减弱映射的连续性条件下，给出了扩张映射的不动点定理及扩张映射对的公共不动点定理。
It is true, and the proof comes as an application of a fixed point theorem which I discussed a year ago.
这是真的，证据来自不动点原理的一种运用，一年前我曾探讨过它。
By applying a fixed point theorem, the authors study the existence of positive periodic solutions to a class of differential equations with stated-dependent delay.
运用不动点定理，研究一类具状态依赖时滞的微分方程周期正解的存在性。
By using a well-known fixed point index theorem, we obtain the existence, multiplicity and nonexistence of positive periodic solution(s) to this equation.
利用一个著名的不动点指标定理，获得了该方程周期正解的存在性、多重性和不存在性。
By using the collectively fixed point theorem, the existence theorems of some new system of vector equilibrium problems are obtained.
作为应用，给出了聚合不动点定理在矢量平衡问题组中的应用。
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.
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。
A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector Spaces, are given.
给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。
A fixed point theorem in cone is used to study the existence of normal solution of second-order periodic boundary value problems.
利用锥不动点定理研究了一类二阶非线性周期边值问题正解的存在性。
Using cone fixed point theorem we get the existence of one and two positive solutions.
利用锥上的不动点定理得到了一个正解和两个正解的存在性。
In this paper, we study the existence of positive solutions to second - order nonlinear ordinary differential equations by using fixed point theorem in cones and Green's function.
本文主要运用锥不动点定理和格林函数研究二阶非线性常微分方程组正解的存在性。
Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory.
用基于度理论的不动点定理，建立了一系列存在唯一性定理。
Using the theory of fixed point, we give a theorem about the existence of asymptotically almost periodic solution for a class of delay integral equations.
利用不动点理论，给出了一类时滞积分方程渐近概周期解的存在性定理。
By using fixed point theorem and constructing almost periodic sequence solution for difference equation, the authors get the sufficient conditions for the existence of the almost periodic solution.
利用不动点方法及对差分方程构造概周期解，获得了概周期解存在的充分条件。
We also obtain a new intersection theorem by the fixed-point theorem in this chapter.
同时，应用这个不动点定理，我们得到了一个新的相交定理。
Baced on the properties of elliptical trajectory, the reentry conditions of the vehicles, spherical geometry, and the fixed-point theorem, an algorithm for the ideal trajectory is proposed.
根据飞行器椭圆弹道的性质、飞行器再入条件、球面几何和不动点原理给出了理想弹道的计算算法。
This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index Theorem on cones.
利用锥映射的不动点指数定理，研究了一类非线性奇异边值问题多个正解的存在性问题。
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.
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。
By using fixed point theorem in cone, the authors discuss the existence of positive solutions of fourth order two-point ordinary differential equations.
应用锥上不动点定理讨论一类四阶两点边值问题正解存在性。
By using fixed point theorem in cone, the authors discuss the existence of positive solutions of fourth outer two-point ordinary differential equations.
应用锥上不动点定理讨论一类四阶两点边值问题正解存在性。
What is more, we offer a common fixed point theorem under the linear contractive condition in the setting of an intuitionistic fuzzy metric space.
另外，在直觉模糊半度量空间中，讨论了一个非线性压缩条件下的公共不动点定理。
In this paper, we consider the existence of multiple positive solutions of discrete boundary value problem. The theory of fixed point index is used here to derive the existence theorem.
本文利用不动点指数理论得到离散边值问题多重正解的存在性。
By using the fixed-point theorem of cone expansion-compression type with norm, we study the existence of positive pseudo-symmetric solutions to a four-point boundary value problem.
利用范数形式的锥拉伸与压缩不动点定理，研究了一类四点边值问题拟对称正解的存在性。
Solutions for a class of third order nonlinear differential equations are studied by using the Leray Schauder fixed point theorem and the method of Liapunov function.
运用Leray - Schauder不动点定理和Luapunov函数，研究了一类三阶非线性微分方程概周期解的存在性。
Solutions for a class of third order nonlinear differential equations are studied by using the Leray Schauder fixed point theorem and the method of Liapunov function.
运用Leray - Schauder不动点定理和Luapunov函数，研究了一类三阶非线性微分方程概周期解的存在性。
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