邊值定理 的英文怎麼說

中文拼音 [biānzhídìnglǐ]
邊值定理 英文
boundary value theorem
  • 邊 : 邊Ⅰ名詞1 （幾何圖形上夾成角的直線或圍成多邊形的線段） side; section 2 （邊緣） edge; margin; oute...
  • 定 : Ⅰ形容詞1 （平靜; 穩定） calm; stable 2 （已經確定的; 不改變的） fixed; settled; established Ⅱ動詞...
  • 理 : Ⅰ名詞1 （物質組織的條紋） texture; grain （in wood skin etc ） 2 （道理;事理） reason; logic; tru...
  • 邊值 : boundary values邊值法 method of bound; 邊值觀測 boundary value observation; 邊值控制 boundary val...
  1. There are three sections in this paper. the first section : we consider the initial boundary value problem on half line and bounded interval, with kato ' s method for abstract quasi - linear evolution equations and a prior estimates of. solution, we get the existence of global smooth solution and the blow - up of solution in finite time under some conditions

    第一部分：考慮了camassa ? holm方程在半無界和有界區域上的初邊值問題，用kato關于擬線性演化方程的初值問題的理論及先驗估計的方法，證明了整體解的存在性，及在一定條件下，解在有限時間內的blow ? up 。
  2. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  3. By the impact of the special rules of network economics, such as metcalfe rule and positive feedback rule, dot - corns have appears the new forms of commercial mode and mode of growth, and had special source of value

    在網路經濟的特有規律，諸如梅特卡夫定理、邊際效用遞增和邊際成本遞減原理、正反饋原理等的作用下，網路公司表現出了全新的經營模式和成長模式，並產生了特有的價值形成和實現方式。
  4. The second section : under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of camassa - holm equations with dissipative. by using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth s olution, global attractor in h ~ ( 2 ), t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved

    第二部分：在非線性控制邊界條件之下，對于帶耗散項的camassa ? holm方程的初邊值問題，用壓縮映射不動點原理及先驗估計方法，證明了整體光滑解的存在性、整體解的指數穩定性、 h ~ 2空間中整體吸引子的存在性以及時間周期解和殆時間周期解的存在性。
  5. A simply and analytical formula of the axial light intensity distribution behind a circular aperture is derived by using the helmhotz - kirchhoff integral theorem and the kirchhoff ' s boundary conditions. it is studied the nonparaxial on - axis intensity distribution throughout the whole space behind a circular aperture. an accurate formula to calculate the fresnel number of circular aperture is presented and the validity of usual fresnel number formula is reexamined. by using the analytical formula and diffraction integral formula, some numerical simulation comparisons are done, and it is shown that the results of the two methods are completely coincident

    用亥姆霍茲-基爾霍夫積分定理和基爾霍夫邊界條件，推導出了平面波經小圓孔非傍軸衍射時軸上強度的簡單解析表達式，研究了平面波經小圓孔后整個衍射空間非傍軸的軸上光強分佈.給出了計算圓孔菲涅爾數的精確公式，重新檢查了通常的菲涅爾數公式的有效性.數值計算顯示，應用解析表達式所得的結果與應用衍射積分公式所得的結果完全一致
  6. Similarly, the corresponding existence result is founded for the following boundary value problem on time scales by using the induction principle of duality on time scales

    主要工具是時間尺度上的歸納原理類似地獲得了邊值問題的解的存在性定理證明工具是時間尺度上的歸納原理的對偶命題
  7. An existence theorem of positive solution for a superlinear semipositone second - order three - point bvp

    超線性半正二階三點邊值問題的一個正解存在定理
  8. The degenerate elliptic problems we shall study is very closely related to rigidity problems arising from infinitesimal isometric deformation, as well as other geometry problem, such as minimal surface in hyperbolic space. in particular, the existence of solution with high order regularity is very important to investigate geometry problems. one would like to know under what conditions the solution of such equations are as smooth as the given data

    通過構造輔助邊值問題，建立了各種能量不等式，並利用這些先驗估計，以及banach - saks定理得到了h ~ 1弱解存在性；利用退化橢圓型方程弱解與強解的一致性和已知的先驗估計，還得到h ~ 1弱解的唯一性。
  9. Using riemann - schwarz ' s symmetry principle of complex functions, the above problems are transformed into riemann - hilbert boundary problems. by combining the analysis of singularity of complex functions, generalized liouville ' s theorem, cauchy model integral and residue theorem, the general solutions of above problems are presented

    創造性運用復變函數解析延拓原理，將上述問題轉化為riemann - hilbert邊值問題，結合復應力函數奇性主部分析方法、廣義liouville定理、 cauchy型積分和留數定理，獲得了上述問題的一般解答。
  10. In chapter five, as one of the applications of boundary layer theory on two - phase fluid pump, the calculation process and example analysis in vane design are given and the stability and convergence of algorithms and programs and rules showed in calculation are required

    第五章作為固液兩相流泵的邊界層理論的應用之一，本章給出了它在葉輪設計中應用的計算過程及實例分析。通過實例分析及數值計算，本章得出關于演算法和程序的穩定、收斂性結論以及速度系數在計算中所表現出的規律性。
  11. In this paper, we analyze difference solutions of the burgers - kdv type equations with the periodic boundary condition by use of functional analysis method. the existence of difference solutions is proved by fixed - point theorem and the priori estimates of the difference solution are obtained using interpolation formula of sobolev space. the convergence and stability are proved

    本文應用泛函分析方法對一系列burgers - kdv型方程周期邊值問題的差分解進行了分析，運用各種不動點原理證明了差分解的存在性，應用sobolev空間的離散內插公式得到了差分解及其各階差商的先驗估計，利用得到的先驗估計證明了差分解的收斂性和穩定性。
  12. An existence theorem of solution to boundary - value problem governed by second - order difference equation

    二階差分方程邊值問題的一個存在定理
  13. This method applies ward - pv equivalent principles to determine the injection power and equivalent impedance of external network boundary buses, and then predictor - corrector primal - dual interior point method of discrete control variables to address the sub - problem of reactive optimization of equivalent network

    該方法採用ward ? pv等值原理來確定外部網路邊界節點的等值注入功率和等值阻抗，再應用考慮離散變量的預測-校正原對偶內點法來求解等值網路的無功優化子問題。
  14. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  15. Accordring to basic concept and assumes essentially on the basic of sweden method of slices, be living below the maximum equilibrium state, the function expression about stability safety homogeneous slop is deduced, and the slope surface is consist of two lines and an arc, afterwards according to analysis theory of minimal value ruling on the basic of the maximum, genetic algorithm is applied to slove the dangerousest slide situation and radius and corresponding safely factor

    根據瑞典圓弧法的基本概念和基本假定，在極限平衡狀態下，推導了兩直線段均質斜坡穩定性安全系數函數表達式，然後根據極限分析理論的極小值原理，利用遺傳演算法，求出了邊坡穩定性安全系數極小值，並得到最危險滑動面的滑弧半徑和滑弧中心坐標。
  16. All these have the theoretical meaning and applicable value, and also present useful reference to the slope stability analysis, slope disaster prediction and slope control etc. under unstable seepage

    可為非穩定滲流下邊坡穩定分析、滑坡災害預報和邊坡治理等方面提供有用的參考，具有一定的理論意義和使用價值。
  17. Fourthly we use the infimum of the moment generating function to study the a - transient and a - recurrent for random walks and levy processes, give a dichotomy theorem for not one - sided processes and prove tha t the process x is quasi - symmetric if and only if x is not a - recurrent for all a < 0 which is the probability explanation of quasi - symmetry

    對于隨機游動和l vy過程，我們用矩母函數的最小值討論了他們的-常返性和-暫留性，給出非單邊過程的一個二分定理，並證明了擬對稱過程等價于過程對任意0都是-常返的，這是擬對稱的概率意義。
  18. In this way, it has certain value of reference for the treatment of the rocky deep cut slope in mountainous area

    其對山區石質深路塹邊坡處理有一定的參考價值。
  19. The method first uses ward equivalent principles to determine the injection power and equivalent impedance of external network boundary buses. then compute the power flow of equivalent network by newton method with proper modification of equivalent injection power of boundary buses

    該方法首先採用ward等值原理，來確定外部網路在邊界節點的等值注入功率和等值阻抗，然後採用牛頓法對等值網路進行潮流計算，並修正邊界節點的電壓值和等值注入功率。
  20. The shooting method is used to establish the existence and uniqueness of a positive solution to a class of singular nonlinear two - point boundary value problems

    摘要利用打靶法建立一類奇異非線性兩點邊值問題正解的存在惟一性定理。
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