1) contraction mapping principle
[电子]压缩映射原理
2) contraction mapping principle
压缩映射原理
1.
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
2.
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。
3.
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。
3) Banach contraction mapping theory
压缩映射原理
1.
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(。
4) principle of compressed mapping
压缩映射原理
1.
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。
2.
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。
6) contraction theorem
压缩映射原理
1.
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。
补充资料:压缩映射原理
压缩映射原理
contracting -mapping principie
压缩映射原理[阴加‘飞一maPPing州ndpfe;“哪脚-川联or‘吻嫂.浦n钾IIu恤] 一个定理,断言完全度量空间(X,p)(或这样的空间的一个闭子集)到它自身的映射f的不动点(flxedpoint)的存在性与唯一性,如果对任何的x‘,x”,不等式 P(f(x‘),f(x’‘))《宁试x‘,x’‘)(l)成立,这里q为某个固定的常数,O
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