differential-difference equation 中文意思是什麼

differential-difference equation 解釋
差分微分方程
  • 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...
  • difference : n. 1. 差異，差別。2. 不和，爭論。3. 【數學】差，差額。4. 【邏輯學】特殊性。vt. 〈罕用語〉區別，使有差別。
  • 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. In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay

    本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
  2. A class of implicit difference schemes with hich accuracy and absolute stability for solving parabolic partial differential equation

    拋物型方程的一族高精度恆穩定的隱式差分格式
  3. 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。
  4. On the basis of the theory about water potential in soils, a partial differential equation of water movement in unsaturated soils is derived, which chose volumetric water content as the control variable. the numerical solution of the equation using finite difference method is discussed in this paper, and the modality to calculate water movement in slope considering rain infiltration

    基於非飽和土的土水勢理論，本文推導了以體積含水率為因變量的二維非飽和土的水分運動方程，並給出了用有限差分法來求解此偏微分方程的方法，得到了考慮降雨入滲影響的土坡水分運動的計算程式。
  5. The equation ' s forms of the hydraulic system models with elastic hammer have great difference from power system models that hydraulic system models have partial - differential equations while the power system models all are constant - coefficient differential equations

    計及彈性水擊后，水力系統模型和電力系統模型的形式有很大的差異，水力系統模型含有偏微分方程組，而電力系統模型為常微分方程組。
  6. When the author sets up the mathematics model with describing the process of two - dimensional debris flow, he develops the continuity equation by the law of conservation of mass and establishes the momentum equations by the law of conservation of momentum. the author makes full use of the advanced computer technologies, establishes the finite difference equation of numerical simulation by the differential operator fission method, and writes programs for computers which contact friendly with the other programs. the parameters are directly input on the keyboard

    在泥石流堆積數值模擬方面，作者以前人工作成果為基礎，在建立數學模型時，根據質量守恆原理，推導建立了泥石流連續性方程，根據動量守恆原理，推導建立了泥石流運動方程;在數值解法上，充分利用高速發展的計算機技術，採用運算元分裂法建立數學模型的差分格式，開放式編製程序，人機對話方式設置參數，計算機程序具有通用性、可擴展性和易維護性。
  7. 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
  8. Application of the cauchy ' y law of continua, the motion equation of the tetrahedral element is concluded, and discretization the analysis zone, applying the finite difference method, all tetrahedral differential equations of motion are converted into the nodal finite difference equation

    快速拉格朗日分析程序運用連續介質的柯西定律，推導出四面體單元運動偏微分方程，並離散化分析區域，用有限差分計算方法，把所有的四面體單元運動偏微分方程等效成節點有限差分方程。
  9. Pseudo almost periodic sequence ; difference equation ; piecewise constant argument ; pseudo almost periodic solution ; neutral delay differential equation

    偽概周期序列差分方程逐段常變量偽概周期解中立型時滯微分方程
  10. Differential method for linear partial difference equation with constant coefficients

    常系數線性偏差分方程的微分解法
  11. Differential difference equation is a kind of powerful means to investigate the rule of natural phenomena, whose qualitative analysis has always been the hot spot subject to be studied in the recent years

    微分差分方程是用來描繪自然現象變化規律的一種有力工具，其定性分析一直是近年來研究的熱點問題。本篇博士論文主要研究了這些熱點問題中尚存在的問題。
  12. Numerical continuation method for solving nonlinear difference equations of ordinary differential equation boundary value problem

    解非線性常微分方程邊值問題差分方程的數值延拓法
  13. By choosing the tune scale to be the set of real numbers, it yields a differential equation, and by choosing the time scale to be the set of integers, it yields a difference equation

    如果選擇時間模是實數集r ，它就是通常的微分方程；如果選擇時間模是整數集z ，那麼它就是差分方程了。
  14. The theory of time scales was introduced by stefan hilger in his phd thesis ( [ 1 ] ) in 1988 ( supervised by bernd aulbach ), it has been created in order to unify continuous and discrete analysis. hilger found many results concerning differential equations had carried over quite easily to corresponding results for difference equations. then he defined the dynamic equation on time scales, i. e. the domain of the unknown function of the dynamic equations is a time scale

    時間模（ timescales ）最早是由德國w rzburg大學的hilgerstefan在1988年提出的，當時他在導師berndaulbach的指導下完成博士論文（ [ 1 ] ） ，其主要思想就是把連續分析與離散分析統一起來，他發現人們對微分方程研究后往往又對相應的差分方程進行研究，而一般情況下兩者又可得到相平行的結論，於是定義了時間模上的動力學方程，即方程的未知函數的定義域是一個時間模。
  15. The other primary part is that based on the correct water hammer mathematic model ( 3 ), applying character line method, to translate the differential equation group ( 3 ) into character equation group, to count the character equation integral along with character line and at the same time to substitute the integral form for the difference form so as to make use of computer to carry through numerical value calculation of the water hammer pressure

    本論文的另一個主要內容是，在正確的水擊數學模型（ 3 ）的基礎上，應用特徵線法的原理，將微分方程組（ 3 ）轉化成特徵方程組，沿特徵線對特徵方程進行積分，並以其差分方程形式代替積分形式，以便利用計算機進行水擊過程的數值計算。論文對各種邊界條件也做了相應的推導。
  16. A plane - wave expansion method based on the effective medium theory is firstly introduced, and the new method has a better convergence than that of the pwm. as a new method for calculating the band structure of a photonic crystal, a finite difference scheme is also introduced to the governing differential equation based on the effective medium theory

    首先提出了基於等效介質理論的平面波方法，顯著地改善了平面波演算法的收斂性質；同時提出一種新的計算光子晶體能帶的有限本徵差分演算法，與已有的平面波展開法相比，新方法保留了本徵值演算法的獨特優點，同時又克服了平面波展開法的慢收斂性。
  17. Many foreign mathematicians have respectively devoted to researching the hamiltonian systems, boundary value problem and the oscillation, the asymptotic behavior, the stability of the dynamic equation on time scales, such as erbe l, bonnet m, peterson a, agarwal r, d sl o, kaymakcalan b, lakshmikantham v etc. in general, the research methods they used are just as the following : firstly, we compare the method of differential equation and with the corresponding difference equation, then unite them, finally, extend the results to other time scales

    近十年來，時間模上的動力學方程的研究得到了較快的發展，國外不乏有許多數學大家erbel ， bohnerm ， petersona ， agarwalr ， d slo ， kaymakcalanb ， lakshmikanthamv等都分別致力於時間模上哈密爾頓系統，時間模上動力學方程的邊值問題以及時間模上動力學方程的穩定性、振動性、漸近性等方面的研究。總的來看大家所採用的研究方法大致都是把微分方程與差分方程研究方法進行比較、統一，然後再推廣到其它時間模上。
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