functional derivative 中文意思是什麼

functional derivative 解釋
泛函微分
  • functional : adj 1 官能的,機能的。2 在起作用的;職務上的。3 【數學】函數的。4 【建築】從使用的觀點設計[構成]...
  • derivative : adj. 導出的;派生的。n. 1. 派生物。2. 【語言學】派生詞。3. 【化學】衍生物。4. 【醫學】誘導法[劑]。5. 【數學】導數,紀數,微商。adv. -ly
  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. In theorem 3. 3. 5, the derivative of lyapunov function along trajectories of system ( 1 ) does n ' t need to be required to be negative definite, which is different from functional differential systems

    在定理3 3石中, lyapunov函數沿系統)的解軌線的導數在iezumikhin型條件下不再局限於常負,這一點不同於泛函微分系統
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