boundary value theorem 中文意思是什麼

boundary value theorem 解釋
邊（界）值定理
  • boundary : n 邊界，疆界，限界 （between）;（球場）邊線；界標；界限，范圍，分野。 aboundary dispute 邊界糾紛...
  • value : n 1 價值；重要性；益處。2 估價，評價。3 價格，所值；交換力。4 （郵票的）面值。5 等值；值得花的代...
  • theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
  1. 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。
  2. The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. some results are improved

    摘要本文運用整體反函數理論證明了一類半線性方程邊值問題周期解的存在唯一性，推廣和改進了已有的一些結果。
  3. 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。
  4. Suppose there exist some special barrier strips. we come up with a new concept - scatter degree, and obtain the existence theorem for the fo - llowing boundary value problem on time scales by using induction principle on time scales

    在存在一些特殊的障礙帶的前提下，首次引入離散度的概念，研究了時間尺度上的邊值問題的可解性
  5. Since the antiplane scattering problems of local sites could be divided into two kinds : interior and exterior problems, main points to solve the problems are graf ' s addition theorem. so two expressions and suitable range of the graf ' s addition theorem are studied hi the paper. moreover, an auxiliary function method for mixed boundary - value problems are also discussed in this paper

    由於典型局部場地彈性波出平面散射問題可以分為內域型和外域型兩大類，求解這些問題的要點是要完成特殊函數在不同坐標系間的變換，因此本文對graf加法公式的兩種表達及其適用范圍做了研究，另外對解決混合邊值問題的輔助函數法做了研究。
  6. 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
  7. The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains

    摘要利用打靶法、上下解方法和不動點定理等工具，研究有孔區域上一類具非局部邊值條件的非線性擴散方程。
  8. We use the leggett and williams fixed point theorem to discuss the existence of three positive solutions for the boundary value problem of second - order nonlinear functional differential equation

    3我們使用leggett和williams不動點定理討論了二階非線性泛函微分方程邊值問題的三個正解的存在性。
  9. This paper is concerned with uniqueness of positive solutions to three classes of two - point boundary value problems of ordinary differetial equations. the argument is based on the shooting methord together with the sturm ' s comparison theorem. the main results are as follows : 1

    本文運用打靶法及sturm比較定理討論了三類二階常微分方程兩點邊值問題正解的惟一性（如果存在） ，主要結果有：一
  10. In this paper, by constructing a special cone and using fixed point theorem on cone, the existence of at least one positive unbounded solutions of infinite boundary value problem of a class of singular differential equations is obtained

    摘要通過構造一個特殊的錐，利用錐上的不動點定理討論了一類二階奇異微分方程無窮邊值問題正無界解的存在性。
  11. In this paper, by constructing a special cone and using krasnoselskii fixed point theorem, the existence of two positive unbounded solutions of infinite boundary value problem of a class of nonlinear second order differential equation is proved

    摘要本文通過構造一個特殊的錐，利用錐拉壓不動點定理，證明了一類非線性二階微分方程無窮邊值問題的兩個正無界解的存在性。
  12. Be the sequences of eigenvalues for the boundary value problems and respectly, then we have theorem 1 if the above conditions hold, then bvp ( 1. 1 ) ' s spectrum includes ? ? n ? ? n ? ( n ? 1 )

    分別表示邊值問題和的特徵值，則我們有定理1如果上述條件滿足，則區間
  13. This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index theorem on cones

    摘要利用錐映射的不動點指數定理，研究了一類非線性奇異邊值問題多個正解的存在性問題。
  14. By using the fixed point index theorem, the existence of positive solutions for nonlinear m - point boundary value problem is established under some weaker conditions, and previous results are improved and generalized

    摘要本文在較弱的條件下，利用不動點指數定理研究了一類運算元多點邊值問題正解的存在性，推廣並改進了原有的結果。
  15. Under the existence of barrier strips, the existence theorem is established for the following boundary value problem on time scales by using properties of derivative on time scales

    在存在障礙帶的假設下，建立了時間尺度上的邊值問題解的存在性定理其證明依賴于時間尺度上導數自身的性質
  16. For the class of nonlinear second order ordinary differential equations ( odes ), we firstly consider one of their special one - dimensional forms, and then prove the existence of solution to its two - point boundary value problem in the light of prior estimate and schauder fixed point theorem. we also show the exact solutions for the special equations as an example and plot the numerical solutions by mathematica

    對于這類非線性的二階常微分方程，我們首先考慮其一維的特殊的形式，運用先驗估計，進而利用schauder不動點定理，證明了其兩點邊值問題解的存在性，並給出具體方程的解作為例子，然後用mathematica作出數值解的圖。
  17. Chapter two mainly considers the periodic boundary value problems for impul - sive differential equations. some existence results, obtained by the help of schaeffer ' s fixed point theorem and the method of upper and lower solutions coupled with the monotone iterative technique

    第二章討論了兩類周期邊值問題，通過利用schaeffer不動點定理，上下解方法和單調迭代方法，建立了解存在的充分條件。
  18. By using the theorem of fixed points on cone a class of boundary value problems of fourth order difference equation was discussed and the sufficient condition of existence of one or two positive solutions was obtained

    摘要利用錐上的不動點定理對一類四階差分方程進行了討論，得到了一個及兩個正解的存在性的充分條件。
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