非齊次問題 的英文怎麼說
中文拼音 [fēiqícìwèntí]
非齊次問題
英文
nonhomogeneous problem- 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...
- 問 : Ⅰ動詞1 (請人解答) ask; inquire 2 (詢問; 慰問) question; ask about [after]; inquire about [aft...
- 題 : Ⅰ名詞1. (題目) subject; title; topic; problem 2. (姓氏) a surname Ⅱ動詞(寫上) inscribe; write
- 齊次 : homogeneous
- 問題 : 1 (需回答的題目) question; problem 2 (需研究解決的矛盾等) problem; matter 3 (事故或意外) tr...
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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。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。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。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。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 variable bandwidth local linear regression method we used in this paper have the advantages of both the local linear regression method and the variable bandwidth idea. the variable bandwidth henced the flexibility of the estimation. and it make this method can fit the spacial complex curve very well. and the asymptotic results of the estimation found the theoretic base for find the best variable bandwidth and drive the pratical best variable bandwidth from data directly
本文所用的變窗寬局部線性回歸方法,繼承了局部線性回歸的優點,並且使用變窗寬提高了所得估計的可塑性。並使之能成功地處理空間非齊次曲線等復雜形狀的曲線擬合問題。所得估計的漸近結果為求漸近最優窗寬方案以及直接從數據估計最優變窗寬提供了理論基礎。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。The semiboundless mixed problem of the fractional diffusion equation with the third kind nonhomogeneous boundary condition is studied
摘要研究了一維半無界分數階擴散方程具有第三類非齊次邊條件的混合問題。The form solution to the mixed problem of one dimension inhomogeneous diffusion equation was given through the method of undetermined function
摘要利用待定函數法給出了一維非齊次擴散方程混合問題的形式解。The series solution for boundary value problem of nonhomogeneous harmonic equation with variable coefficient is obtained
使變系數非齊次調和方程邊值問題的求解有了新的進展。An itera tive algorithm for solving non - homogenous bilinear - quadrati c problem is also given, and the convergence of the algorithm is proved
提出了求解非齊次雙線性二次型問題的迭代演算法,分析了該演算法的收斂性。Global classical solutions to the cauchy problem for general first order inhomogeneous quasilinear hyperbolic systems
一階非齊次擬線性雙曲組的柯西問題整體經典解的存在性The global classical solution of the mixed initial - boundary value problem for a kind of the first order quasilinear hyperbolic system
一類非齊次擬線性雙曲型方程組混合初邊值問題的整體經典解The stability for the initial - boundary problems of non - linear system of viscoelasticity
非齊次粘性方程初邊值問題解的穩定性定理By using the approach, the original optimal control problem of bilinear systems with disturbances is transformed into a sequence of nonhomogeneous linear two - point boundary value ( tpbv ) problems
利用該演算法可將在擾動作用下雙線性系統的最優控制問題轉化為求解一組線性非齊次兩點邊值序列問題。Beyond the usual method, the one dimensional equation was expressed in the form of ( the equation is abbreviated ), which then was introduced by middle varible ( the equation is abbreviated ), so that the same solution of initial value problem by the characteristic curve method of the first order equations ( the equation is abbreviated ) and ( the equation is abbreviated ) was abtained
摘要對一維非齊次波動方程的始值問題在傳統的疊加原理、達朗貝爾公式、齊次化原理的方法之外,完全用特徵線方法,先將方程表示為(方程式略)的形式,進而引入中間變量(方程式略) ,得以用一階方程(方程式略)的特徵線方法,推導出維該始植問題的與傳統方法相同的解。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。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。On the problems of solutions for a class of operator equations sequence in pn - spaces and its applications
半群與非齊次抽象柯西問題的強解分享友人