基本解释：压缩映射原理
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Using contraction mapping principle to prove implicit function existence theorem under weak condition;用压缩映射原理证明较弱条件下的隐函数存在定理
With respect to the periodic solution to a impulsive system,a study is carried out on the existence of periodic solutions by means of the contraction mapping principle.研究一类脉冲非齐次强迫振动的周期解,结合运用压缩映射原理,给出保证系统存在周期解的一组充分条件。
By the method of contraction mapping principle and ordinary dichotomies,the relations of one-to-one mapping and difference between bounded solutions of certain nonlinear differential equations and linear ones are studied,and the relations of bounded solution of certain big systems are also discussed.利用压缩映射原理和普通二分性,讨论了某类非线性微分方程与线性微分方程的有界解之间的1-1映射及其差的关系,并讨论了某类大系统有界解之间的关系,得到了一些新的结果。
In this paper,the author introduced the principle of compressed mapping and given its application in finding the limit of sequence of numbers.介绍了压缩映射原理在求数列极限中的应用。
The global exponential stability of olfactory cortex neural networks was studied by applying the principle of compressed mapping and contributing Lyapunov function,some sufficient conditions ensuring the existence,uniqueness and global exponential stability of the equilibrium point were provided.研究了嗅觉皮层神经网络的全局稳定性,利用压缩映射原理和构造Lyapunov泛函的方法,给出了判定平衡点的存在唯一性及全局稳定性的条件。
Using the Banach contraction mapping theory,we investigate the existence and uniqueness of asymptotical almost periodic solutions for differential equations with reflection of the argument(t)+ax(t)+bx(-t)=f(t,x(t),x(-t)),b≠0,t∈R.利用压缩映射原理,研究了自变数镜射微分方程x(。
The Banach contraction theorem was proposed by S.Banach提出的压缩映射原理,不仅在泛函分析中占有举足轻重的地位,也是数值分析中求解代数方程、常微分方程解的存在唯一性和数学分析中积分方程求解的重要理论依据,是数学和工程计算中最常用的方法之一。
Principle of compressed mapping and its application in finding limit of sequence of numbers;压缩映射原理在求数列极限中的应用
The Compression-mapping Principle and Its Role in Mathematical Analysis;压缩映射原理及其在数学分析中的作用
Application of Contraction Mapping Theorem in Accelerometer Calibration for Inertial Navigation System压缩映射原理在平台惯导系统加速度计标定中的应用
The Characterisic Ideal of Sequenccs and the Compression Mappings on Primitive Sequences over Galois Rings;Galois环上序列特征理想及本原序列压缩映射
Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings;多值压缩映射与多值Caristi型映射的不动点定理
New Fixed Point Theorems of Contraction Mappings in Banach Spaces;Banach空间中压缩映射的新不动点定理
Notes on the Theorem of Banach Contraction Mapping;关于Banach压缩映象原理的几点注记
On Radom Fixed Point Theorem of Demi -compact Random 1 - set Contractive Map关于半紧随机1-集压缩映射的随机不动点定理
The Common Fixed Point Theorems for a Pair of φ-Contractive Mappings (25)第(25)类φ-压缩映射对的公共不动点定理
Some Fixed Point Theorems of Transpositive Multiplier Contractive Mappings;可换乘积压缩映射的某些不动点定理(英文)
On Fixed -Point Theorem of Compression Mapping in the Compact Distance and Space;关于紧距离空间中压缩映射的不动点定理
A Fixed Point Theorem of SST-Space Compressed Model Mapping Pair;概率度量空间压缩型映射对的一个不动点定理
A new fixed point theorem for multi-valued contractive mappings一个新的多值压缩映射不动点定理(英文)
With the topological degree, the fixed theorems for upper semicontinuous set-valued1- set-contractive mapping is studied.研究了上半连续集值1-集压缩映射的不动点定理。
The Fixed Point Theory for Weakly Compatible Mappings Under the Contractive Conditions of Integral Type in Metric Spaces;度量空间中积分型压缩条件下弱相容映射的不动点理论
Convergence Problems of Strongly Pseudo-Contractive Mappings by Ishikawa and Mann Iterative Processes;ISHIKAWA和MANN迭代过程下强伪压缩映射的收敛性定理(英文)
Fixed Points for Mapping of cp-Contraction and Iterative Convergenceφ—压缩映射的不动点及迭代收敛性
STABLITY OF THE ISHIKAWLA ITERATION PROCEDURE FOR QUASI-CONTRACTIVE MAPPING;Ιshikawa迭代程序对拟压缩映射的稳定性
