齊次微分方程 的英文怎麼說
中文拼音 [qícìwéifēnfāngchéng]
齊次微分方程
英文
homogeneous differential equation- 齊 : 齊名詞[書面語]1. (調味品) flavouring; seasoning; condiment2. (合金, 此義今多讀 ) alloy
- 次 : Ⅰ名詞1 (次序; 等第) order; sequence 2 [書面語] (出外遠行時停留的處所) stopping place on a jou...
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 方 : Ⅰ名詞1 (方形; 方體) square 2 [數學] (乘方) involution; power 3 (方向) direction 4 (方面) ...
- 程 : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
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Discussion on losing the solution of the square distance of the rank differential calculus
對於一階齊次微分方程遺失解的討論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in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory.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。The increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients
多項式系數高階齊次線性微分方程解的增長級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On the growth of solutions of a class of higher order non - homogeneous linear differential equations with meromorphic coefficents
一類亞純函數系數的高階非齊次線性微分方程解的增長性In this paper, we investigate the increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients. we have obtained the precise result
摘要研究了多項式系數高階齊次線性微分方程解的增長級問題,得到了比前人更精確的結果。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。As we all know, the comparison and separation theory of zeros distribution for second order homogeneous linear differential equations established by g. sturm lays a foundation of oscillation theory for differential equations
眾所周知,由g . sturm建立的齊次二階線性微分方程零點分佈的比較理論和分離理論為微分方程振動性理論的研究奠定了基礎。A formula to solve the initial value problem of homogeneous linear differential equations with constant coefficients is given and a formula to solve the homogeneous linear difference equations with constant coefficients under certain conditions is derived
摘要給出了常系數齊次線性微分方程組初值問題的一個求解公式,並由此推出常系數齊次線性差分方程組在給定的初始條件下的一個求解公式。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Some methods to find particular solutions to second - order constant coefficient inhomogenous linear differential equation
二階常系數非齊次線性微分方程特解的一些求法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。The new method of solving special integral of n order linear inhomogeneous differential equation with constant coefficients
階常系數線性一般非齊次微分方程特解公式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。The method to solve particular solution for a class of n order constant coefficient nonhomogeneour diefferential equation
階常系數非齊次微分方程特解的計算A method to settle special answer for the linear differential equation with constant coefficient
階常數非齊次微分方程特解的新方法On the growth of solutions of second order linear non - homogeneous differential equations
二階線性非齊次微分方程解的增長性On the growth of solutions of second order non - homogeneous differential equations with meromorphic coefficients
二階亞純函數系數的非齊次微分方程解的增長性Solving a kind of 2 - order linear differential equation with variable coefficients
二階線性齊次微分方程的一個可積定理A solvable theorem to variable coefficient second order linear differential equation
二階線性非齊次微分方程的一個可積定理分享友人