非齊次方程 的英文怎麼說

中文拼音 [fēiqícìfāngchéng]
非齊次方程 英文
inhomogeneous equation
  • 非 : Ⅰ名詞1 （錯誤） mistake; wrong; errors 2 （指非洲） short for africa 3 （姓氏） a surname Ⅱ動詞1 ...
  • 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...
  • 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...
  • 次方 : capital
  1. 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。
  2. The sorts of same solution for solvable nonhomogeneous linear equations

    非齊次線性方程組的同解類
  3. 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。
  4. 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in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory.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。
  5. 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。
  6. 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
  7. 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
  8. 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
  9. 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
  10. Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations

    第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。
  11. In section 2. 2, by a priori estimates and fourier spectral method, we prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the large time error estimate between spectral approximate solution and the exact solution. in sections 2. 3 and 2. 4, by a priori estimates and galerkin method, we prove the existence of the global smooth solution and global attrac - tors for the initial - boundary value problem. chapter 3, consider the initial - boundary value problem of the multidimen - sional non - homogeneous gbbm equations

    第二章，考慮一類一維非齊次bbm方程，在第二節中利用fourier譜方法和先驗估計證明了具有周期初值問題的整體光滑解的存在性和唯一性，給出了fourier譜近似解和精確解的長時間誤差估計；在第三、四節中討論了初邊值問題，利用與時間t無關的一致先驗估計，證明了整體光滑解和整體吸引子的存在性。
  12. On the zero and hype - order of solutions of certain non - homogeneous differential equations with entire coefficients

    關于某類缺項級數系數非齊次線性微分方程解的增長性
  13. 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。
  14. 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
  15. For the nonlinear two - point boundary value problem with both time - delay terms and time - advanced terms driven by the optimal control theory, we build a sequence of nonhomogeneous linear two - point boundary value problems according to the successive approximation approach of constant differential equation

    再利用常微分方程的逐次逼近法，將由系統的最優控制問題得到的即含有時滯項又含有超前項的非線性兩點邊值問題化為非齊次線性兩點邊值問題族。
  16. In chapter 2, we study the regularity of solutions of some second order differential equations. in chapter 3, we study the regularity of solutions of higher order non - homogeneous differential equations where coefficients are rational functions or super entire functions. in chapter 4, we study the regularity of solutions of higher order homogeneous differential equations where coefficients are super meromorphic functions

    其中第二章研究了某些二階方程解的正規性；第三章在系數分別為有理函數和超越整函數的情況下研究了高階非齊次方程解的正規性；第四章在系數為超越亞純函數的情況下研究了高階齊次方程解的正規性；第五章則是假設在方程系數為正規亞純函數的條件下得到的解的增長性方面的結果。
  17. As for nonlinear problem, the approximation schemes and the error analysis of pti are investigated, in order to avoid the computation of inverse matrix, the pti with dimensional expanding is proposed. the methods of constant, linear, sinusoidal approximation are proposed for the transformation of non - homogenous terms

    通過增維技術，該演算法將非齊次方程齊次化，從而避免了矩陣求逆，並給出非齊次項常數近似、線性近似和正弦餘弦近似的處理方法。
  18. Deng, li and liu extended the result to a more general class of k ( x ), with the topology introduced in ( 0. 3 ), we prove the stability and asympototic stability of the steady states of ( 0. 2 )

    Deng ， li和liu把這個結果推廣到一般的k （ x ） 。我們將證明非齊次方程平衡解的穩定性。
  19. Because the questions of partial differential equations make green function method studied difficultly for student, the variation of parameters formula and ordinary differential equation are put forward. initial value of ordinary differential equation and the boundary value of ordinary differential equation are discussed. green function with time and green function without time are introduced and theirs equations and conditions are calculated

    基於偏微分方程問題造成學生學習green函數方法的困難，我們以常微分方程為切入點，從學生熟悉的參數變動法解非齊次方程出發，討論了非齊次常微分方程的初值問題和邊值問題，引入含時green函數和與時間無關的green函數，得出它們應滿足的方程與條件，分析這些green函數最一般的性質及物理含義，從而驗證了通常green函數方法在數學上的合理性，在此基礎上總結並規范了green函數方法解決問題的基本思想和步驟。
  20. In chapter 2, we study the further results on the properties of growth of solutions of one kind of higher order linear differential equations with entire coefficients, when there is one coefficient that is main dominating to the properties of the solutions, we obtain precise estimate of hyper - order of solutions of equations either homogeneous or non - homogeneous and relations between the solutions and functions with smaller growth

    本文研究了某些高階線性微分方程解的增長性問題。其中第二章研究了一類高階整函數系數微分方程解的增長性的進一步結果，當存在某個系數對方程的解的性質起主要支配作用時，得到了齊次與非齊次方程解的超級的精確估計及方程的解與小函數的關系。
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