dirichlet 中文意思是什麼

dirichlet 解釋
邊界條件
  1. In this paper, we study the convergences of random dirichlet series by the local convergence of random variable and the strong law of large numbers, and obtain some simple and explict formulae on abscissa of convergence

    該文是利用隨機變量序列的局部收斂性及強大數定律研究了隨機狄里克萊級數的收斂性，得出了它的收斂橫坐標的簡潔公式
  2. Abstract : in this paper, we study the convergences of random dirichlet series by the local convergence of random variable and the strong law of large numbers, and obtain some simple and explict formulae on abscissa of convergence

    文摘:該文是利用隨機變量序列的局部收斂性及強大數定律研究了隨機狄里克萊級數的收斂性，得出了它的收斂橫坐標的簡潔公式
  3. Dependent convergence of lower side bivalent random dirichlet series

    級數的相關收斂性
  4. The dependent converge formula of bilataral bivalent random dirichlet series

    級數的相關收斂公式
  5. Order of growth for random dirichlet series in the complex plane

    級數表示的整函數的增長性
  6. Applying the results to optimal controller to realize the minimizer of the cost function of mkdv - burgers equation under neumann and dirichlet boundary control. secondly, using inertial manifold and approximate inertial manifold theory, the approximate inertial manifold under fourier bases is given and we construct a set of odes of three modes to obtain the long - time dynamic behavior

    其次，利用慣性流形和近似慣性流形理論，給出mkdv - burgers方程在fourier基下的近似慣性流形，並且把這一方程所確定的無窮維動力系統約化為一組三模態下的常微分方程組，從而研究這一方程所確定的動力系統的長期動力學行為。
  7. One of the main character of this paper is to present a new way of how to use a mountain pass theorem to prove the existence as to the dirichlet problem, without assuming conditions ( ar ), the other is that we have made great improvements as to the important condition of [ 6 ], in other words, we may delete the condition on which f ( x, t ) / t is nbndecreasing with respect to t 0, a. e. x

    這篇文章的一個主要特徵是提出一種新的方法運用山路引理證明了在沒有條件（ ar ）的情形下dirichlet問題正解的存在性，另一個是我們對文獻[ 6 ]中的重要條件做了巨大的改進，即我們可刪去f （ x ， t ） / t對a . e . x關于t在[ 0 ， + ）上單調遞增。
  8. In this dissertation, we firstly prove that any dirichlet problem is indeed equal to a voltages problem of networks. we give five solutions to dirichlet problem in two dimensions ; among these five solutions, we prove that the iteration solution and the solution of relaxations are exponential convergence, then we estimate their respective convergence rates ; secondly, we discuss random walks on general networks, prove that there is an one to one correspondence between networks and reversible ergodic markov chains ; thirdly, we give probabilistic interpretation of voltages for general networks : when a unit voltage is applied between a and b, making va = 1 and vb = 0, the voltage vx at any point x represents the probability that a walker starting from x will return to a before reaching b ; furthermore, we study the relationship between effective resistance and escape probability : starting at a, the probability that the walk reaches b before returning to a is the ratio of the effective conductance and the total conductance

    本文證明了任何邊值的dirichlet問題都可轉化為求解電路電壓的問題：給出了計算平面格點上dirichlet問題的5種方法：證明了迭代法和松馳法都是指數收斂的，並分別給出收斂速度的估計；討論了一般電路上的隨機徘徊，驗證了電路與可逆的遍歷markov鏈是一一對應的；給出了電路電壓的概率解釋：當把1伏電壓加於a ， b兩端，使得v _ a = 1 ， v _ b = 0時，則x點的電壓v _ x表示對應的markov鏈中，從x出發，到達b之前到達a的概率；進一步地，給出了逃離概率與有效電阻之間的關系：從a出發，在到達b之前到達a的概率為有效傳導率與通過a的總傳導率之比。
  9. In this paper, we spread common abel and dirichlet test. on the point of bounded variation, we can conclude sevral results in infinite integration convegence

    摘要推廣了一般形式的阿貝爾判別法和狄利克雷判別法，從有界變差的角度得到了判別無窮積分收斂的幾個結果。
  10. Continuity, integrability and differentiability of riemann function are discussed ; especially, the non - differentiable properties on [ 0, 1 ] are proved, and dirichlet ' s function is comparated with it

    摘要從黎曼函數的簡單特徵入手討論它的連續性、可積性、可導性，特別是證明了黎曼函數在區間[ 0 ， 1 ]上處處不可導，並結合狄利克雷函數加以引申和推廣。
  11. This dissertation investigates both existence of traveling wave solutions for delayed reaction diffusion systems and lattice differential equations, and global attractor of spatially discretized fitzhugh - nagumo equations with dirichlet or neumann boundary conditions. for delayed reaction diffusion systems, the existence of traveling wavefronts in diffusive and coorperative system with time delays is provided, firstly ; the monotone iteration scheme, together with upper - lower solution technique, is applied to establish the existence of traveling wavefronts of delayed reaction diffusion systems with some zero diffusive coefficients. secondly, schauder fixed point theorem is applied to some operators to prove the existence of traveling wave solutions in a properly subset equipped with exponential decay norm, which is obtained from a pair of upper and lower solutions for delayed reaction diffusion systems with non - quasimonotoiiicity

    對于時滯反應擴散方程，我們先利用吳建宏和鄒幸福[ j . dynam . diff . eqns2001 （ 3 ） ]中的主要定理來研究時滯競爭擴散lotka - volterra系統波前解的存在性，給出了這個定理在非線性項滿足弱擬單調條件（ qm * ）時在系統情況中的應用；並利用單調迭代方法和上、下解技術，對于具有部分零擴散系數的時滯反應擴散方程建立波前解的存在性定理，對于具有部分零擴散系數的時滯反應擴散方程建立波前解的存在性定理。
  12. The regular growth of dirichlet series of finite order in the half plane

    級數在水平直線上的增長性
  13. The growth and value distribution of random dirichlet series in the right half plane

    隨機狄里克萊級數在半平面上的增長性和值分佈
  14. In this paper, we first study the growth and regular growth of dirichlet series of finite order by type function in the plane and obtain two necessary and sufficient conditions ; and prove that the growth of random entire functions defined by random dirichlet series of finite order in every horizontal straight line is almost surely equal to the growth of entire functions defined by their corresponding dirichlet series. then we define the hyper - order of dirichlet series of infinite order respectively in the plane or in the right - half plane, study the relations between the hyper - order and regular hyper - order of dirichlet series of infinite order and the cofficients ; obtain the hyper - order of random entire functions defined by random dirichlet series of infinite order in every horizontal straight line is almost surely equal to the hyper - order of entire functions defined by their corresponding dirichlet series

    本文首先利用型函數研究了全平面上有限級dirichlet級數的增長性和正規增長性，得到了兩個充要條件；證明了有限級隨機dirichlet級數的增長性幾乎必然與其在每條水平直線上的增長性相同。對于無限級dirichlet級數，分別在右半平面及全平面上定義了其超級的概念，研究了它們的超級和正規超級與其系數間的關系；得到了平面上無限級隨機dirichlet級數的超級幾乎必然與其在每條水平直線上的超級相同。
  15. In this article, we give sufficient conditions for the existence of solutions to the vectorial hamilton - jacobi equations with dirichlet boundary condition : obtaining, in addition, an application to the theory of existence of minimizers for a class of non - convex variational problems

    本文給出了一類依賴于自變量和未知函數的梯度的向量情況隱式偏微分方程的dirichlet問題的弱解的存在性的充分條件，並將該結果應用到一類非擬凸變分問題中去。
  16. Infinite order dirichlet series on the right half - plane

    兩種廣義積分和無窮級數收斂比較
  17. From mathematical models for inverse scattering in two dimensional homoge - nous media including dirichlet, neumann, robin, all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill - posed integral equation and indicator function method are formulated for the diverse of boundary identification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solv - ing it by virtual of regularity method, meanwhile, some numerical tests are given. 2

    在二維均勻介質逆散射各種邊界識別的數學模型（包括dirichlet ， neumann ， robin ，各種可能的混合邊界問題，裂紋問題）下，分別考慮了正散射問題和逆散射問題，推導了上述各種邊界識別的不適定積分方程以及指示函數方法，由於積分方程的核充分表徵了散射物的邊界，由此說明只要利用正則化方法求解該積分方程，就可以確定散射物的邊界，並給出了一些數值實驗。
  18. In chapter 6, we study existence of the weak solutions for a class of the nonlinear dirichlet problems on h " and estimates of the eigenvalues about the subelliptic operators on heisenberg group

    最後，我們在heisenberg群上研究幾類半線性次橢圓方程的弱解存在性問題和幾類次橢圓運算元的特徵估計問題。
  19. Probabilistic methods for numerical solutions of the exterior dirichlet problem

    外問題數值解的概率方法
  20. The liner growth of 2 - dimension b - valued dirichlet series

    級數的線性增長性
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