boundary perturbation problem 中文意思是什麼
boundary perturbation problem
解釋
邊界擾動問題- 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...
- perturbation : n. 1. 慌張，動搖；混亂。2. 狼狽，不安，焦慮。3. 引起不安[混亂]的事物；引起動搖的原因。4. 【天文學】攝動；【物理學】微擾。adj. -al
- problem : n. 1. 問題，課題；疑難問題；令人困惑的情況。2. 【數、物】習題；作圖題。3. （象棋的）布局問題。adj. 1. 成問題的；難處理的。2. 關于社會問題的。
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Thirdly, we obtain multiplicity of solutions for resonant non - homogeneous boundary perturbations from symmetric problem without parameter by a new perturbation method introduced by bolle in reference [ 4 ], applied in references [ 5 ] [ 6 ] and extend in reference [ 7 ]. references [ 5 ] [ 6 ] have considered some exceptive case while the section consider general case
再次，利用bolle在文獻[ 4 ]中提出的、被應用於文獻[ 5 ] [ 6 ]以及在文獻[ 7 ]中被推廣的一種新的擾動方法得到問題即不帶參數的對稱共振非齊次邊值擾動問題的多重解，在文獻[ 5 ] [ 6 ]中討論了非線性項為摘要幾種特殊情形的情況，此部分討論非線性項為一般情形的情況 -
By using the asymptotic analysis method and the diagonalization technique, considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation. under appropriate assumptions, the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well
研究三階非線性積分微分方程組邊值問題的奇攝動.在適當的條件下，利用漸近分析方法和對角化技巧，證得解的存在性並給出解的漸近展開式及其餘項估計 -
The stability of cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition ; we apply some results of the first partition to the second partition and solve the stability of the solution to the cauchy singular integral equation. finally, on the basis of the stability of the cauchy type integral, we study the stability of the solution to the riemann boundary value problem when the contour perturbs smoothly
在第一部分中，我們主要討論了cauchy奇異積分在積分曲線發生光滑擾動時的穩定性問題；而在第二部分中，我們把第一部分的結果應用到cauchy奇異積分方程，導出了其關于積分曲線攝動的穩定性的研究及其一些結果；最後，在第三部分中，我們在研究cauchy型積分關于積分曲線的穩定性問題的基礎上，探討了riemann邊值問題的穩定性問題。 -
We study the singular perturbation of boundary value problem for a class of higher order ordinary differential equation, the solution is shown to exhibit double layer behavior
摘要研究一類高階微分方程兩點邊值問題的奇攝動，揭示了其解分別在兩端點呈現雙重邊界層的性質。 -
Using an l2 energy method proves that the solutions of the general initial - boundary problem to this relaxation model converges time - asymptotically to a stationary wave or a rarefaction wave or superposition of these two kinds wave for small perturbation
對此鬆弛模型，用l ~ 2 ?能量方法證明了在小擾動的情形下，相應的一般初邊值問題的解漸近收斂到一個穩定波或一個稀疏波或這兩種非線性波的疊加。 -
Under the assumptions of non - convexity and non - degeneration, it is proved that the solutions of the initial - boundary problem to this viscoelastic model tend towards the travelling wave solution of the corresponding cauchy problem time - asymptotically for zero boundary speed and small initial perturbation by a weighted energy method
對粘彈性模型，用權能量方法證明了在非凸非退化的情形下，當邊界速度為0 ，初始值具有小擾動時，具初邊值問題的解收斂于相應的柯西問題的行波解。 -
A boundary value problem of singular perturbation for the third order nonlinear ode system
一類三階非線性方程組邊值問題的奇攝動 -
In this paper, these two methods are employed to consider three kinds of singular perturbation boundary value problems. in the first section, the existence of solution for a class of non - linear systems with three - point boundary problem is obtained by applying the differential inequality theory. in the second section, we use the differential inequality theory to discuss the non - monotone interior layer solution for one kind of singularly perturbed quasilinear boundary value problems with a turning point. in the third section, the diagonalization method is applied to study the existence of solution for a class of vector differential systems with two - point or three - point boundary problems. meanwhile, the asymptotic estimate of the solution as well as its first - order derivative and its second - order derivative is obtained
在第一部分中，我們應用微分不等式理論證明了一類非線性系統三點邊值問題解的存在性；在第二部分中，運用微分不等式理論研究了一類帶有轉向點的擬線性奇攝動邊值問題的非單調內層解；在第三部分中，利用對角化方法研究了一類向量二點或者三點邊值問題解的存在性，並獲得解及它的一、二階導數的漸近估計。
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