general boundary value problem 中文意思是什麼

general boundary value problem 解釋
一般邊值問題
  • general : adj （opp special）1 一般的，綜合的，通用的。2 普通的，廣泛的，通常的。3 全體的，總的；全面的，普...
  • boundary : n 邊界，疆界，限界 （between）;（球場）邊線；界標；界限，范圍，分野。 aboundary dispute 邊界糾紛...
  • value : n 1 價值；重要性；益處。2 估價，評價。3 價格，所值；交換力。4 （郵票的）面值。5 等值；值得花的代...
  • problem : n. 1. 問題，課題；疑難問題；令人困惑的情況。2. 【數、物】習題；作圖題。3. （象棋的）布局問題。adj. 1. 成問題的；難處理的。2. 關于社會問題的。
  1. 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。
  2. By means of the existence and uniqueness of semi - global c1 solution to the mixed initialboundary value problem with general nonlinear boundary conditions for first order quasilinear hyperbolic systems with zero eigenvalues, we establish the local exact boundary controllability for second order quasilinear hyperbolic systems with general nonlinear boundary conditions

    本文利用具零特徵的一階擬線性雙曲型方程組帶一般非線性邊界條件的混合初-邊值問題的半整體c1解的存在唯一性，對具一般類型非線性邊界條件的二階擬線性雙曲型方程組建立了精確邊界能控性
  3. The general boundary value problem for nonlinear elliptic equations of second order

    二階非線性橢圓型方程的一般邊值問題
  4. They stated the existence of weak solution in if space and some hilbert spaces for the general boundary value problem of linear degenerate elliptic equations, and made a certain further contribution to the regularity theory. during the past three decades, several progresses have been made in the research of second order degenerate elliptic equations

    第二章在周期區域上考慮一類二階半線性退化橢圓型方程邊值問題的適定性及解的正則性，使用橢圓正則化方法和壓縮映象原理來研究問題。
  5. Many foreign mathematicians have respectively devoted to researching the hamiltonian systems, boundary value problem and the oscillation, the asymptotic behavior, the stability of the dynamic equation on time scales, such as erbe l, bonnet m, peterson a, agarwal r, d sl o, kaymakcalan b, lakshmikantham v etc. in general, the research methods they used are just as the following : firstly, we compare the method of differential equation and with the corresponding difference equation, then unite them, finally, extend the results to other time scales

    近十年來，時間模上的動力學方程的研究得到了較快的發展，國外不乏有許多數學大家erbel ， bohnerm ， petersona ， agarwalr ， d slo ， kaymakcalanb ， lakshmikanthamv等都分別致力於時間模上哈密爾頓系統，時間模上動力學方程的邊值問題以及時間模上動力學方程的穩定性、振動性、漸近性等方面的研究。總的來看大家所採用的研究方法大致都是把微分方程與差分方程研究方法進行比較、統一，然後再推廣到其它時間模上。
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