齊次解 的英文怎麼說

中文拼音 [qícìjiě]
齊次解 英文
homogeneous solution
  • 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...
  • 解 : 解動詞（解送） send under guard
  1. 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
  2. Thirdly, we obtain multiplicity of solutions for resonant non - homogeneous boundary perturbations from symmetric problem without parameter by a new perturbation method introduced by bolle in reference [ 4 ], applied in references [ 5 ] [ 6 ] and extend in reference [ 7 ]. references [ 5 ] [ 6 ] have considered some exceptive case while the section consider general case

    再次，利用bolle在文獻[ 4 ]中提出的、被應用於文獻[ 5 ] [ 6 ]以及在文獻[ 7 ]中被推廣的一種新的擾動方法得到問題即不帶參數的對稱共振非齊次邊值擾動問題的多重解，在文獻[ 5 ] [ 6 ]中討論了非線性項為摘要幾種特殊情形的情況，此部分討論非線性項為一般情形的情況
  3. Using the trial - solution method under specific boundary conditions, the diffusion equations were derived of chlorine, singlet oxygen, and total oxygen in gas and liquid phases

    在實際工作中的射流發生器非常復雜，其擴散方程和邊界條件為非線性，非齊次邊界條件，非齊次泛定方程組，求解難度較大。
  4. The sorts of same solution for solvable nonhomogeneous linear equations

    非齊次線性方程組的同解類
  5. In the last forty years the research for finding solitary wave solutions has been experienced a great growth and some sucessful methods including the inverse scattering theory, backland transform, hirota ' s bilinear methods and the homogeneous balance method have been presented in succession

    近四十年來非線性演化方程孤波解的解法研究蓬勃發展，相繼誕生了一些比較成功的求解方法，如反散射方法、 b （ ? ） ckland變換方法、 hirota方法以及齊次平衡方法等，這些方法多年來得到了廣泛的發展和應用。
  6. In this paper, i consider the traveling wave solutions and peakons of the generalized camassa - holm ( gch ) equation and give the express of the solitons of this equation. the peakons and their figures of the gch equation are given with the mathematic software for m - 1, m = 2 and m = 3 in particular ; for m = 3, i get the generalized dissipative camassa - holm equations by adding a dissipative term and find two types exact traveling wave solutions of this equations. i also apply the homogeneous balance method into the gch equation so that i get a group of smooth solutions for m = 2 and m = 3 and the backlund transformation for m - 3 of the gch equation

    本文研究廣義camassa - holm （ gch ）方程的行波孤立子解及尖峰孤立子解，給出gch方程的行波孤立子解的表達式，特別的，對m = 1 、 m = 2 、 m = 3時利用mathematica數學軟體進行計算，解出了gch方程的尖峰孤立子解，並給出了此時gch方程的尖峰孤立子解的圖形，使數值分析和理論相結合；對m = 3時的gch方程增加一耗散項u _ （ xx ）后得到廣義耗散camassa - holm方程，並解出此方程的兩類精確行波解；本文將齊次平衡法應用到gch方程中，解出m = 2 、 m = 3時的gch方程的一組光滑解，同時應用此方法得到了m = 3時的gch方程的backlund變換。
  7. In this paper, by using the property of fourier series a compound series consisting of trigonometric series and power series is established

    摘要利用由三角級數和冪級數復合構成的函數項級數的有關性質，得到了一類變系數非齊次調和方程邊值問題的級數解。
  8. 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。
  9. In chapter three, we in - troduce the homogeneous balance method and improve some key steps in it, then by using this method we are able to obtain mul - tiple soliton solutions of some nonlinear partial differential equa - tions

    第三章，討論了利用齊次平衡法求解非線性方程孤子解的問題，並對其一個關鍵步驟進行改進，使其能夠求解非線性方程的多孤子解。
  10. When there is nozero object in category, the generalized inverse of morphisms are studied through the equa - alizer, the necessary and sufficient conditions for generalized inverse is obtained, and the relation between the linear equation and the equalizer is presented in matrix category

    當范疇不具有零對象時，以態射偶的等化子為工具討論態射的廣義逆，並在矩陣范疇中建立了齊次線性方程組的解與等化子的關系。
  11. 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
  12. 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
  13. 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
  14. 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。
  15. 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。
  16. 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。
  17. 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
  18. 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
  19. A new step - by - step integral procedure of dynamics equations is presented. the general expression of the solution of dynamics equations is obtained on the basis of the homogenous analytical solutions of dynamics equations and duhamel integration. the explicit analytical integration algorithm, which is characterized by fourth - order accuracy, self - starting and self - correcting, is employed to discretize the equivalent load terms

    另外提出了求解動力學方程的一個新型的逐步積分法，基於線性動力學方程的解析齊次解及duhamel積分，構造出適用於非線性動力學方程解的一般積分表達式，對包含非線性項的非齊次項採用插值近似的方法，得到一個單步顯式、自起步、預測校正具有四階精度的解析逐步積分演算法。
  20. The solution is complete, including both the homogeneous ( transient ) and particular ( steady - state ) solution, and initial conditions are automatically included

    其解是一個完整的解，包括齊次解（動態解）和特解（穩態解） ，且初始條件已經自動地包括了。
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