contraction mapping 中文意思是什麼

contraction mapping 解釋
收縮映象
  • contraction : n 1 縮短，收縮；【醫學】攣縮。2 （開支等）縮減；收斂，狹窄；縮度。3 【語法】縮略〈如將 never 略成...
  • mapping : n. 【數學】映像，映射。
  1. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  2. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  3. To the first equation, the banach contraction mapping theorem is used to show the local existence of the solutions, we use potintial well method to prove the global existence and the decay rate of the solutions, to the blow - up of the solution we use the energy method

    本文主要採用bananch壓縮映射原理來獲得解的局部存在性；採用勢井方法來獲得解的整體存在性和衰減估計；對解的爆破結論的證明主要採用能量方法；對解的能量衰減估計主要採用能量擾動方法。
  4. A fixed point theorem for contraction - mapping series on p - metric space

    距離空間中壓縮映像序列的不動點定理
  5. In this paper, the author uses the fixed point index of 1 - set contraction mapping to study the problem of their eigenvectors and eigenvalues and gets some new eignevalues and eigenvectors existrence theorems

    摘要該文進一步用1 -集壓縮映象的不動點指數，研究更廣泛的1 -集壓縮映象的固有值和固有元問題，得到若干新的固有值和固有元存在性定理。
  6. On this basis, the error theorem is obtained which divides the hausdorff distance between the original image and reconstructed image into two control parts. the fixed point of each contraction mapping is introduced, the fixed - point image ( which is tiled by all the fixed points ) is selected as an initial image when decoding, and is proved to be a good estimation of the attractor of the ifs

    在此基礎上，得到誤差定理，將原始圖像與迭代圖像間的hausdorff距離分為兩個控制項，並提出基於選擇初始圖像的分形圖像壓縮方法，引入不動點圖像，解碼時選擇不動點圖像為初始圖像，並證明不動點圖像是迭代函數系統的吸引子的一個較好的近似。
  7. A new type of fixed point theorems about contraction mapping

    一類新型的壓縮映象的不動點定理
  8. On fixed point theorems for - contraction mapping in topological spaces

    壓縮映象的不動點定理
  9. In this paper, the notion of upper ( lower ) contraction of mapping between quasi - metric spaces is put forward

    摘要提出建立在非對稱度量空間之間的上收縮映射和下收縮映射的概念。
  10. In 1860, schrodinger first put forward the concept " schrodinger equations " in quantum mechanics and since then, the study on schrodinger equations has never stopped, for the mathematical description of many physical phenomena belongs to the field of schrodinger equations, such as nonlinear optic, plasma physics, fluid mechanics etc. as for the form of schrodinger equations, linear schrodinger equations was gradually replaced by nonlinear schrodinger equations ; as for the methods of solving schrodinger equations, the modulus estimate of energy, the principle of contraction mapping, fourier transformation and harmonic analysis are used ; as for the space of the solutions, many people have worked on the problem in bounded domain, euclidean space of dimension n, periodic bounded conditions and mixed regions and they also combined it with the generalization from low dimension to high dimension

    ） dinger方程，如非線性光學、等離子物理、流體力學[ 21 ]等；在方程形式上，從線性schr （ ? ） dinger方程到非線性schr （ ? ） dinger方程；在處理方法上，用能量模估計、壓縮映象原理和fourier變換調和分析等；在方程解空間上，研究有界區域、 n維歐氏空間、周期性有界區域和混合區域等，並且結合從低維向高維推廣。
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