perturbed solution 中文意思是什麼

perturbed solution 解釋
攝動解
  • perturbed : adj. 煩燥不安的
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. Using the direct perturbation method, we gave the analytically chaotic solution and its boundedness condition to each perturbed equation

    運用直接微擾法，我們給出了各級微擾方程的解析解及其有界性條件。
  2. And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique

    ） dinser方程的求解問題，討論了自伴運算元的本徵函數的正交性和完備性，介紹了尋求微分方程的近似解常用的攝動方法，並從帶有某種擾動項的nls方程出發，利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程，通過對近似方程中運算元的特徵態的討論，引入適當的「導出態」 ，建立了運算元在l _ 2空間的特徵態的完備性。
  3. In this paper periodically perturbed hopf bifurcation to lienard equation with limited time delay is sdudied in detail. that is, the influence of small periodic perturbations on system exhibiting hopf bifurcation is sdudied. in particular, the excitation frequency and the critical natural frequency of hopf bifurcation in the cases of harmonic resonance. subharmonic resonance, ultraharmonic resonance, and ultrasubharmonic resonance is discussed. it is shown that in some parameter regions the sestyms exhibit harmonic solution bifurcation, subharmonic solution bifurcation, ultraharmonic solution bifurcation, ultrasubharmonic solution bifurcation and quasi - periodic solution

    本文詳細研究了具有限時滯li nard方程的周期擾動hopf分支，即在該系統經歷hopf分支時，研究小周期擾動對系統的影響，特別是討論了擾動頻率與hopf分支周期解的固有頻率在共振、次調和共振、超調和共振、超次調和共振的情形。
  4. Using the matching condition, a class of nonlinear singularly perturbed problems for two boundary layers are discussed. asymptotic expansion of solution for boundary value problem are obtain

    摘要利用匹配條件，討論了一類三階非線性奇攝動問題，得出了奇攝動邊值問題的漸近展開式。
  5. Using the matching asymptotic expanding method, the solutions for a class of nonliear singularly perturbed problems are discussed. zero order asymptotic expansions of solution for boundary value problem are obtain

    摘要利用匹配漸近展開法，討論了一類非線性奇攝動問題的解，得出了奇攝動邊值問題的零次漸近展開式。
  6. Asymptotic solution to a nonlinear singularly perturbed problem

    一個非線性奇攝動問題的漸近解
  7. The shock solution for singularly perturbed problem of nonlinear equation

    非線性方程奇攝動問題的激波解
  8. It is difficult to analytically solve the inequality constrained nlps in the dual space, due to the linear lagrangian. a perturbed ( regularized ) lagrangjan approach is proposed, which provides an analytic solution of the dual variables in terms of primal variables

    然後針對帶不等式約束的非線性規劃問題，給出一個lagrange正則化（攝動）方法，該方法有效地克服了線性lagrange函數難于在對偶變量空間直接求解的困難。
  9. Section 3 is devoted to the stablities for the perturbed generalized equations. with some constraint qualifications, the pseudo - lipschitz continuities for solution mappings of generalized equations at the solutions is obtained, which implicits the pseudo - upper - lipschitz continuity at the same points. in the last, we derive necessary optimal conditions for optimal problems with quasi - variational inequalities

    第三節主要是對廣義方程的擾動穩定性進行研究，得到了在假設條件下，廣義方程解映像的局部lipschitz連續性質，它隱含了廣義方程解映像是偽上lipschitz連續的；最後，我們得到了具擬變分不等式約束的優化問題解的必要最優條件
  10. Since we use different time - scales in the calculation, the solution we get is more precise. it is worth pointing out that this method also can be used in other nls equations with any perturbed terms

    由於在計算的過程中採用了不同的時間尺度，所得的近似解具有較好的精確性，值得指出的是該方法也同樣適用於擾動項為一般形式的情況。
  11. Section 4 is devoted to give some new iterative algorithms with errors. with some noncompact constraint qualifications, we prove the existence of solution for the generalized nonlinear fuzzy quasi - variational - like inclusions involving maximal - monotone mappings and the convergence of iterative sequences generated by the iterative algorithms. in the last, we discuss the convergence and stability of perturbed iterative algorithm for solving a class of generalized nonlinear quasi - variational - like inclusions involving maximal - monotone mappings

    第四部分，首先給出一些新的含誤差的迭代演算法，然後證明這類含-極大單調映象的廣義非線性模糊擬似變分包含在非緊條件下的解的存在性和由此類迭代演算法產生的迭代序列的收斂性；第五部分，我們討論了求解一類含-極大單調映象的廣義非線性擬似變分包含的擾動迭代演算法的收斂性和穩定性。
  12. The convergence of the solution of a linear singularly perturbed system in distribution topology as tends to zero is considered

    摘要討論了線性奇異攝動系統廣義狀態解當趨于零時在廣義函數空間上的收斂性問題。
  13. 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。
  14. Numerical solution of the singularly perturbed problem with nonlocal boundary condition

    具有非局部邊界的奇異攝動問題的數值解
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