order of a differential equation 中文意思是什麼

order of a differential equation 解釋
微分方程的階
  • 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；...
  • 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...
  • 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. 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 chapter 2, we discuss the problem of the relationship between the solution of non - homogeneous linear differential and small function. in chapter 3, we investigated the relationship between exponent of convergence to zero - sequence of the solution of certain homogeneous linear differential equation f ( k ) + a ( z ) f = 0 and the order of growth of a ( z )

    其中第二部分討論了非齊次線性微分方程解取小函數的收斂指數，第三部分研究了齊次線性微分方程f ~ （ k ） + a （ z ） f = 0的解的零點收斂指數與a （ z ）的級的關系
  3. We consider a nonlinear differential equation periodic boundary value problems of second order which has proposed as a model for the periodic motion of a satellite in its elliptic orbit

    摘要本文考慮作為衛星繞橢圓軌道做周期運動模型的一個非線性微分方程的周期邊值問題。
  4. 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
  5. We study the singular perturbation of boundary value problem for a class of higher order ordinary differential equation, the solution is shown to exhibit double layer behavior

    摘要研究一類高階微分方程兩點邊值問題的奇攝動，揭示了其解分別在兩端點呈現雙重邊界層的性質。
  6. On the equation ( the equation is abbreviated ) with initial condition and periodic boundary condition a system of ordinary differential equations to time was built by the four - order difference method, then the precise integration method was used to solve the system

    摘要對于方程（方程式略）的初始值與周期邊值問題，利用四階差分化為關于時間變量的常微分方程組，然後採用精細時程積分法。
  7. Abstract : in this paper, we consider a class of irrational rumber which can be approximated by rational number at most exponental order ， applications are given in partial differential equation and dynamical systems

    文摘:文中考慮一類最多可以指數地有理逼近的無理數，並指出它們自然地存在於偏微分方程解析理論及動力系統中
  8. In order to resolve the question, in the thesis a simulation arithmetic of hydro - electrical system is put up. the equations of hydro - electrical system are divided to two parts, one of which consists of the differential equations of conduit system, hydro turbine and generator ' s rotator and is solved by characteristic equation arithmetic, the other of which consists of the differential equations of generator, magnetic system and grid and is solved by longge - kuta arithmetic or covert integrated arithmetic. through the alternative solving of the two parts, the simulation results of the large - disturbance transient could be abstained eventually

    為解決這一問題，本文提出了一種將水力系統和電力系統方程交替求解的水電系統聯合模擬演算法，即將包括輸水系統、水輪機以及機組轉子等部分的水力系統差分方程作為一部分，將包括同步發電機、勵磁系統以及電網等部分的電力系統微分方程或差分方程作為另一鄭州大學工學碩士論文部分，對前一部分採用特徵線法求解，對后一部分根據模型形式採用龍格一庫塔法或隱式積分法等演算法求解，這兩部分的求解過程交替進行，最終即可得到水電系統大擾動過程的模擬結果。
  9. A important result is the one - orde r expression of ar ( p ) yt = dyt - 1 + e, from paralleling a high - order differential equation transformation into a one - order differential equation system, the one - order expression exposes that the ar ( p ) is only a certain more - multivariable power series process and, if a process is described as an ar ( p ), the sufficient and necessary condition is the spectrum norm a of the coefficient matrix d less than one. simplification of ar ( p ) not only brings about orthogonal f ( h ) but also provides global foretelling formula

    作者用高階微分方程化一階微分方程組的方法，獲得多元弱平穩序列p階自回歸模型的一步滑動平均表達式，證明了ar （ p ）的是一個更高維的冪級數的線性過程，從而，說明了ar （ p ）關于序列依概率成立的充要條件是：該模型更高維的冪級數的線性過程的表達式中系數矩陣d的譜范數1 。
  10. 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
  11. In efgm, in order to get a numerical solution for a partial differential equation, the shape function is constructed by moving least squares ( mls ), the control equation is derived from the weak form of variational equation and essential boundary conditions are imposed by penalty function method

    它採用移動最小二乘法構造形函數，從能量泛函的弱變分形式中得到控制方程，並用罰函數法施加本質邊界條件，從而得到偏微分方程的數值解。
  12. This article gives a new definition of complex integrating factor about first order ordinary differential equation and a new existence theorem of a type of integral factor and calculation formual, and the resuct in this paper amplifies the conclusions in the relevant reference

    摘要本文推廣了一階微分方程復合型積分因子的概點，給出了復合型積分因子的存在定理和計算公式，所得結果涵蓋並推廣了相關文獻的結論。
  13. An outstanding meaningful fourth order ordinary differential equation is considered, whose solutions constitute some particular solutions of a great number of partial differential equations which depend on a time and space variables. such as stationary solutions, travelling waves and certain more solutions with complex relation between time and space variables

    這類方程的解構成許多恰含有一個時間與空間變量的偏微分方程的某種特殊解；如與時間無關的定常解及時空間成線性關系的行波解，乃至具有更為復雜的時空間關系的解。
  14. 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
  15. A new solvable type of second order non - linear differential equation

    一類新二階變系數線性微分方程的可積判據
  16. Numerical verification of the order of the asymptotic solutions of a nonlinear differential equation

    非線性微分方程漸近解的階的數值驗證
  17. A family of high - order accuracy explicit difference schemes for solving 2 - d parabolic partial differential equation

    二維拋物型方程的一族高精度顯式差分格式
  18. For a class of special stochastic delay differential equations, i. e. the stochastic delay differential equation with small noise, the exacter order of convergence is obtained and it shows that the euler method nearly converges with the order 1

    針對一類特殊的方程即小噪聲隨機延遲微分方程，給出其歐拉方法更精確的收斂階，表明歐拉方法是近似1階改斂的。
  19. Quadratic integrability and boundeness of solutions about a class of second order time lag differential equation

    二階滯后型微分方程解的有界性與平方可積性
  20. The aim of this thesis is to analyze the super - convergence and stability of continuous finite element methods which is a type of numerical me - thods solving the 1 - degree lineal initial value problem of ordinary differential equation, and compare the stability of the three 4 - order pre - cision numerical methods of the 1 - degree initial value problem of ordinary differential equation - classical runge - kutta method ( single step method ), adams hidden method ( multiple step method ), and continuous finite element method

    本文針對一階線性常微分方程初值問題的連續有限元法的超收斂性和穩定性作了分析，並對一階線性常微分方程初值問題的具有4階精度的三類數值方法? ?經典runge - kutta法（單步法） ， adams隱式格式（多步法） ，連續有限元法的穩定性作了比較。
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