boundary value problem 中文意思是什麼
boundary value problem
解釋
邊界值問題-
By the polygonal approximation method, a global approximation solution is constructed for the initial - boundary value problem of nonconvex scalar conservation laws with two - side boundary effect, and its convergence to the global weak entropy solution of the corresponding problem is proved
摘要使用折線逼近法，對具有兩條邊界影響的非凸單個守恆律初邊值問題構造了整體近似解，並證明其收斂到初邊值問題的整體弱熵解。 -
Initial boundary value problem for compressible fluids
可壓縮流體方程組初邊值問題 -
The results show that the eigenvalues of the boundary - value problem form a denumerable set, and the eigenvalue approaches infinity
結果表明邊值問題的特徵值構成一個可數集，並且特徵值趨向于無窮大。 -
Multiple positive solutions of singular boundary value problem for second order differential equations on half line in banach spaces
空間中二階奇異微分方程無窮邊值問題的多重正解 -
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 。 -
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。 -
On the boundary value problem of the second order stationary wave diffraction potential
關於二階波浪繞射勢穩態解邊值問題 -
The former three chapters considers the initial - boundary value problem for the nonlinear wave equation in a bounded domain fi c rn. chapter 2 investigates the problem with a, g and / like ( v2 ) = ( 1 + v2 ) - 1 / 2, g ( v ) = - | v | pv, p > 0 and f ( v ) = | v | mv, m > 0, respectively
論文的主要內容分為四章，前三章主要研究定義在有界區域上的非線性波動方程的初邊值問題在第二章中（ v ）形式如（ 1 + v ~ 2 ） ~ （ - 1 / 2 ） -
At some time, we also research the existence of global smooth solution of the initial boundary value problem for a class of generalized camassa - holm equations
同時還研究了一類廣義camassa ? holm方程初值問題整體解的存在性。 -
In this paper, we study the existence of global solution and its property of the initial boundary value problem for camassa - holm equations and ginzburg - landau equations
本文研究了camassa ? holm方程和ginzburg ? landau方程初邊值問題整體解的存在性及其性質。全文共分三個部分。 -
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。 -
Monotone iteration method and upper and lower solutions were used to approach to the solution of the first - order integral boundary value problem on time scales form below and above by monotone convergent sequence
摘要運用單調迭代方法和上下解方法構造了兩個單調序列，從上下兩個方向分別收斂到一階積分邊值問題。 -
Abstract : it is observed that the sommerfeld ' s formula for a progressive spherical wave is not covariant with respectro the rotation of the coordinate system. it contains complex partial waves that are not physical. the standing wave representation of the same formula is shown to be covariant and physical. it is applied to solve the boundary value problem of fiber optics. the radiation modes as well as the guided normal modes are obtained in closed forms. the intensity distribution in various modes is obtained. it is remarked that the mode of critical refraction is missing
文摘:說明了球面行波的索末菲公式在坐標轉動下不協變.證明了球面波的駐波表示是協變的，因而是一個物理的關系式，故適用於圓柱坐標中各類波動方程的定解問題.作為一個例，應用於光纖光學，導出了受導簡正模和輻射模的表達式，以及各模式的強度分佈 -
More precisely, we consider the existence time for a kind of the semilinear schrodinger equation, and the - existence of a solution of the initial boundary value problem for the klein - gordon equation with nonlinear damping and source terms
） dinger方程解的存在時間的估計和一類含非線性阻尼和源項的klein - gordon方程初邊值問題解的存在性。 -
Fourthly, the solutions for non - axisymmetical dynamic responding of elastic circular plate ( thin and thick plate ) rested on transversely isotropic saturated half - space / layered ground subjected to arbitrary harmonic loading are presented. under the contact conditions, the problem leads to a pair of dual integral equations which describs the mixed boundary - value problem
首先建立直角坐標系下波動問題的狀態方程，經雙重fo吐er變換求解狀態方程后得到傳遞矩陣:利用遞矩陣給出直角坐標系下層狀橫觀各向同性飽和地基在任意分佈簡諧荷載作用下穩態動力響應的一般解。 -
In the last part of this chapter, we will summarize the main results of existence, uniqueness and regularity for solution of such kind of problems. in chapter ii, we consider a class of boundary value problem for second order degenerate elliptic equations on a bounded periodic domain ft, which is homeomorphic to the cylindrical surface
使用橢圓正則化方法分別在每個區域上討論dirichlet問題，即先構造輔助問題，並建立輔助問題的能量不等式，然後由緊性推理方法，利用輔助問題的解的某種收斂性來得到原問題的弱解存在性。 -
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 -
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 -
Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations
第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。 -
The singularly perturbed nonlinear boundary value problem
奇攝動非線性邊值問題
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