homogeneous differential equation 中文意思是什麼

homogeneous differential equation 解釋
齊次微分方程
  • homogeneous : adj. 1. 同種的，同質的，同性的，相似的。2. 純一的，均質的；均勻的。3. 【數學】齊性的，齊次的。adv. -ly ,-ness n.
  • 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. 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in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory.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. The specified solution formula derivation of second order non - homogeneous linear differential equation with constant coefficients

    二階常系數非齊次線性微分方程特解公式的推導
  3. In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation, and obtain some precision evaluation

    摘要研究了二階齊次線性微分方程非零亞純解的迭代級與零點迭代收斂指數，得到了它們的精確估計。
  4. 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
  5. The treatments simplifies greatly the solution programs which are often performed to solving non - homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship and the workload of numerical computation at same time

    這類方法大大簡化了人們在分析壓電熱彈性體耦合問題時通常要求解的非齊次微分方程和關于溫度的平衡方程和導熱方程的二階微分方程的繁瑣方法，同時，齊次狀態方程的提出大大減少了數值計算的工作量。
  6. From the mathematical point of view, the difficulty stems from the inability to get, with the traditional global transform like the fourier transform, a simplified differential equation that governs the evolution of the basic function through the non - homogeneous medium

    這些基本函數的全局特性使其在非均勻空間的演化變得十分復雜，從而影響了傳統方法的波場外推精度及效率。
  7. An integrable theorem of second order linear non - homogeneous differential equation

    一類二階變系數線性微分方程的積分因子解法
  8. ( 1 ) based on two types of riccati equations, two kinds of new methods are proposed to obtain solutions of nonlinear differential equations. twelve families of exact solutions of wbk equation are found by using one of two methods ; ( 2 ) the homogeneous balance method is improved cind investigated to ( 2 + l ) - dimensional broer - kaup equation such that many families of new solutions are derived. ( 4 ) based on the isospectral lax pair of riccati form for generalized kdv equation with the force term, new darboux transformation and solitary - like wave solutions and rational solutions are obtained ; ( 4 ) by constructing darboux transformation and the superposition formula of generalized variable coefficients kdv equation with the force term, new single solitary - like wave solutions, double solitary - like wave solutions and rational solutions are found for ( 2 + l ) - dimensional generalized kp equation

    第二章和第三章考慮非線性偏微分方程的精確解的構造：首先給出了c - d對和c - d可積系統的基本理論，然後在第三章中具體研究了它們的應用： （ 1 ）基於兩種riccati方程，提出了兩種新的求解非線性微分方程更多解的方法，利用其中的一種方法，得到了wbk方程的12組精確解； （ 2 ）對齊次子衡法進行改進，以致於獲得了（ 2 + 1 ） -維broer - kaup方程的很多新解； （ 3 ）基於帶有外力項的廣義kdv方程的riccati形式的非等譜lax對，提出了該方程的一個新的darboux變換，利用該變換，得到了新的類孤波解和有理解； （ 4 ）通過構造了帶有外力項的變系數kdv方程的darboux變換及疊加原理，獲得（ 2 + 1 ） -維廣義kp方程的新的類單孤波解、雙類孤波解和有理解。
  9. An important case is the linear homogeneous second-order differential equation with constant coefficients.

    一種重要的情形是常系數二階線性齊次微分方程。
  10. A new teaching method for 2 - order non - homogeneous linear ordinary differential equation with constant coefficients

    二階非線性微分方程的一個新的可解類型
  11. An integrable theorem of second order linear homogeneous differential equation

    二階線性常系數非齊次常微分方程的分解式講授方法
  12. Conditions of linear homogeneous differential equation system with constant coefficients has non - zero solution

    常系數齊次線性微分方程組有非零解的條件
  13. The similar structure of solution of second - order linear homogeneous differential equation with constant coefficients on the boundary value problem

    二階常系數齊次線性微分方程邊值問題的解的相似結構
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