third-order differential equation 中文意思是什麼

third-order differential equation 解釋
三階微分方程
  • third : n 1 〈the third〉第三。2 第三者〈指人〉。3 （時間或角度的）一秒的六十分之一。4 〈the third〉（某...
  • order : n 1 次序，順序；整齊；（社會）秩序，治安；狀況，常態；健康狀態；條理；會場秩序；議事程序，日程；...
  • 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...
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. By using the asymptotic analysis method and the diagonalization technique, considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation. under appropriate assumptions, the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well

    研究三階非線性積分微分方程組邊值問題的奇攝動.在適當的條件下，利用漸近分析方法和對角化技巧，證得解的存在性並給出解的漸近展開式及其餘項估計
  2. The special solution formula of a third order ordinary differential equation

    一類三階常微分方程的特解公式
  3. 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
  4. Abstract : in order to solve the double parameters enveloped in the geartooth flank generating, the complicated double parameter envelope is simplified to the generating process between work - piece and imaginary crown generating gear by means of mathematical transformation. the equation of the imaginary crown generating surface and the partial derivatives are deduced, so the differential geometric parameters of the generating surface can be obtained. by analyzing the generating motion between the imaginary crown generating gear and the work - piece, all the first to third order geometric parameters of the generated tooth flank at any given point can be calculated

    文摘:為了解決直接求解展成法加工中存在的復雜雙參數包絡問題時的困難，提出通過數學變換，將此包絡問題轉化為假想平面產形輪與工件之間的展成問題來進行研究.推導了假想產形面的方程和各階偏導矢，於是可獲得產形面的微分幾何參數.通過分析假想平面產形輪與工件之間的展成運動，即可得到被展成齒面上任意指定點的全部一至三階微分幾何參數
  5. In the second chapter, the high order neutral differential equation with forced term is considered, and sufficient condition and necessary condition for existence of nonoscil - latory solution x ( t ) satisfying liminf | x ( t ) | > 0 are obtained, respectively, there exist a d 0, such that in the third chapter, the high order neutral differential equation with forced term and its special condition are considered, and necessary condition for nonoscillatory solution of ( * ), set then ( b ) if n is even integer, > t, and ( c ) if n is odd integer, p ( t ) = l, and are obtained, respectively

    ） 0的非振動解x （ t ）存在的充分條件，即存在d 0 ，使及必要條件，存在d 0 ，使在第三章中討論帶強迫項的高階中立型微分方程及特殊情形給出方程（ * ）在一定條件下非振動解的必要條件。令則有及方程（ * * ）在一定條件下解振動的充分條件， （ a ）若n為奇數，且帶強迫項的高階中立型徽分方程的振動性（ b ）若n為偶數，且
  6. The solving theorem of first order and third power differential equation under transformation of polar coordinates and its application

    一階三次微分方程在極坐標變換下的求解定理及應用
  7. In the third chapter, we discussed the problem about partial differential equation with small parameter on the high - order item

    第三章主要對小參數在高階項的偏微分方程進行討論，也就是一般意義上的邊界層問題。
分享友人
分享到 Line

分享到臉書