contraction theory

contraction theory的基本解释

-

收缩说

与contraction theory相关的网络例句 [注：此内容来源于网络，仅供参考]

Also, by using exponential dichotomy, contraction map theorem and matrix theory, some sufficient conditions are obtained to ensure the existence and global exponential stability of almost periodic solution for MAM neural network with distributed delays.

利用矩阵的谱半径、指数二分法结合运用压缩映射原理获得了分布时滞多向联想记忆神经网络模型概周期解的存在性，并在相同条件下证明了概周期解的全局指数稳定性。

Firstly, by constructing the Lyapunov function with a special structure, a prior estimate is obtained. Secondly, with the help of Green\'s function, the original problem is transformed into an equivalent operator equation, and the fixed point theory of contraction mapping in a Banach space guarantees the existence and uniqueness of the global solution.

首先，构造具有特殊结构的Lyapunov函数，得到解的先验估计；其次，借助Green函数将原方程等价变换成算子方程，Banach压缩映射的不动点定理保证了全局解的存在唯一性；最后通过常微分方程的定解，证明了主要结论，即平凡解全局渐近稳定。

However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少，文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题；对线性情形，较容易地获得了边值问题的解存在以及唯一的充分必要条件，而对非线性情形，则通过压缩原理和锥理论等各种不动点定理，获得了一系列新的充分条件。

Using integral equation theory and"contraction mapping"theorem, we prove that this model has a unique solution.

接着用压缩映象原理证明了此模型解的存在唯一性，这为讨论经济系统的稳定性奠定了数学基础，又通过对定常的投资方程渐近稳定性的研究和非定常投资方程Liapunov稳定性研究，我们分别讨论了积累率、劳动力和科技进步对经济增长的作用，进而指出只有依靠科技进步才能实现经济的持续增长，才能真正提高人民的生活水平。

By applying game theory and contraction mapping theorem, a sufficient condition for the existence and uniqueness of Nash equilibrium in a multi-person non-cooperative game is proposed. Another implication in the sense of game theory is presented for the stability condition of supply-demand equilibrium in traditional economic theory. It can demonstrate the stability condition for supply-demand equilibrium in economic theory. So the stable supply-demand equilibrium of cobweb model in economics is in fact equivalent to the Nash equilibrium in game theory. That is a brand-new explanation for the conclusion in traditional economic theory.

应用博弈论中的有关理论与压缩映象定理寻求一类多ISP非合作对策纳什均衡存在、唯一的充分条件，给出了传统经济理论中供求均衡稳定性条件的对策论意义，证明了经济理论中的供求均衡稳定性条件；说明了经济学中蛛网模型的稳定供求均衡实际上就是对策理论中的纳什均衡，从而给出了传统经济理论中关于这一结论的新解释。

与contraction theory相关的网络解释 [注：此内容来源于网络，仅供参考]

contraction theory：收缩说

contraction scale 缩小比例尺 | contraction theory 收缩说 | contraction 收缩

contraction theory：冷缩说

contraction joint 收缩节理 | contraction theory 冷缩说 | contractional hypothesis 收缩假说

contraction theory：收缩说;冷缩说

收缩节理 contraction joint | 收缩说;冷缩说 contraction theory | 冷缩矿脉 contraction vein

theory of contraction：收缩说

theoretical geothermics 理论地热学 | theory of contraction 收缩说 | theory of glacial eustasy 冰川性海面升降说