dirichlet theorem 中文意思是什麼

dirichlet theorem 解釋
狄利克雷定理
  • dirichlet : 邊界條件
  • theorem : n. 1. (能證明的)一般原理,公理,定律,法則。2. 【數學】定理。
  1. 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。
  2. 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。
  3. Dirichlet stability theorem

    狄利克雷穩定性定理
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