dirichlet conditions 中文意思是什麼
-
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。 -
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。 -
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。 -
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。 -
Firstly, the equilibrium solution is global asymptotic stability and exponential stability on l2 [ 0, l ] under neumann and dirichlet boundary control conditions, control inputs for choosing the boundary control is bounded in lx, the equilibrium solutions decay to zero and integrating the solution square in [ 0, 1 ], it decays to zero exponentially, by using nonlinear boundary control conditions and input feedback control method
首先，採用非線性邊界條件輸入反饋控制方法，研究得到該類方程在neumann和dirichlet邊界控制條件下的平衡解在l _ 2 [ 0 ， 1 ]上是全局漸近穩定和指數穩定的、在所選邊界控制下控制輸入是l _有界的、平衡解隨時間衰減到零以及平衡解的平方在[ 0 ， 1 ]上的積分按指數方式衰減到零。 -
Global existence for the compressible navier - stokes equations with dirichlet boundary conditions
方程組解的整體存在性 -
In the second chapter we study the properties of the weighted dirichlet - type spaces and composition operators on them. we not only characterize these spaces by taylor series, but also give sufficient and necessary conditions in terms of carleson measure for the boundedness and compactness of composition operator. moreover, we apply the comparability propositions which induced from above sufficient and necessary conditions to discuss the relationships between the compactness of composition operator cv and angular derivative or innerness of the inducing function, and so on
本文討論了一類函數空間相互的包含關系，而對其中的加權dirichlet型空間，不但給出了空間的相互包含關系，並且對它進行了級數刻畫；利用carleson測度，刻畫了加權dirichlet型空間上復合運算元的有界性及緊性，並利用由此得到的比較性命題討論了復合運算元的緊性與角導數，內函數等的關系。 -
Furthermore, with the induction of precision order of a type - function u ( r ), the necessary and sufficient conditions of the dirichlet series, which keep unaltered the order and the type, are obtained. such a result naturally has a bearing on " rearrangement problem " of power series and abel summable series
此外，當狄里克萊級數引入精確級后，得到了有限級狄里克萊經過重排后的精確級以及關于型函數u （ r ）的型保持不變的充要條件。 -
The first, the achievement of dirichlet series in the right half - plane and in the complex plane for a few years are related. on the base of this, when the general exponential condition holds, and under the condition of lim = 1, i study infinite order dirichlet series in the right half - plane and in the complex plane, and obtain the relations between the order of growth of dirichlet series and conffieients. the second, we study the factorization of entire function in the condition of composition of functions, and obtain the necessary conditions of some pseudo - prime or e - pseudo - prime functions
本文分兩部分，第一部分就右半平面上的dirichlet級數和全平面上的dirichlet級數這兩方面對近年來的研究成果作了簡單的敘述，在此基礎上，作者在一般的指數條件與（ ? ）情形下，對右半平面上和全平面上的無限級dirichlet級數作了系統研究，獲得dirichlet級數的系數與增長性之間關系的一些新結論。第二部分研究整函數的因子分解，得到判斷函數為擬素的或e ?擬素的一些必要條件。
分享友人