differential of a mapping 中文意思是什麼

differential of a mapping 解釋
映射的微分
  • differential : adj 1 差別的,區別的;特定的。2 【數學】微分的。3 【物、機】差動的,差速的,差示的。n 1 (鐵路不...
  • of : OF =Old French 古法語。
  • a : an 用在以母音音素開始的詞前〉 indefinite art 1 〈普通可數名詞第一次提到時,冠以不定冠詞主要表示類...
  • 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. A normalized mapping rule of raw grey series is introduced by analysis of exponential function characteristics of the whitening differential equation, which makes the non - equigap grey prediction model ngm ( 1, 1 ) fit for universal raw grey series, improves prediction precision greatly, meanwhile makes innovation to series with negative values and enlarges grey prediction theory

    通過對白化微分方程解的指數函數特性的分析,研究了原始灰序列的歸一化映射規則,使非等間距灰預測模型ngm ( 1 , 1 )適應一般灰序列,灰預測精度也大大提高。這亦解決了含負值灰序列預測的理論問題,拓寬了灰色預測理論。
分享友人