比較定理 的英文怎麼說

中文拼音 [bǐjiàodìnglǐ]
比較定理 英文
comparison theorem
  • 比 : Ⅰ動詞1 （比較; 較量高下、 長短、距離、好壞等） compare; compete; contrast; match; emulate 2 （比...
  • 較 : Ⅰ動詞1 （比較） compare 2 [書面語] （計較） dispute Ⅱ副詞（比較） comparatively; relatively; fair...
  • 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...
  • 比較 : 1 （對比） compare; compare with; contrast; parallel （with）; comparison; by comparison; in comp...
  1. Under the most elementary conditions for backward stochastic differential equation introduced by peng s., we put forward and prove a general converse comparison theorem

    摘要在由彭實戈引入的倒向隨機微分方程的最基本的條件下，提出並證明了一個一般的反比較定理。
  2. Under the most elementary conditions for backward stochastic differential equation ( bsde in short ) introduced by peng s g, a new converse comparison theorem for bsdes has been proved in this paper, based on investigating the relations between the generator and the solutions of bsdes

    摘要通過研究倒向隨機微分方程的解與其生成元的關系，在由彭實戈引入的倒向隨機微分方程的最基本的條件下，證明了一個反比較定理。
  3. According to the theory of differential inequality and the comparision theorem, we will establish some new and more practical criteria of the extinction, uniform persistence and globally asymptotical stability for partial species of the above system. since the narrate of the main theorem is long, we omit it. to see section 2 of chapter 3 for details

    通過利用微分不等式理論，比較定理及構造適當的lyapunov函數，得到了判別種群持續生存、滅絕和全局漸近穩定性的三個定理，這便是第三章的主要內容，由於定理較長，這里不作敘述，詳見第三章第二節。
  4. In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied

    首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。
  5. By comparison theorem and the upper - lower solution method, the conditions for the global existence and the finite time blow - up of solution to the system are established

    通過運用比較定理和構造上、下解方法，建立了該方程組解的整體存在和有限爆破的充分條件。
  6. The author uses comparison theorem for stochastic differential equations to explore the limit behavior of one - dimentional discontinuous dynamical system with small random perturbations

    作者利用隨機微分方程的比較定理，確定間斷動力系統在小隨機擾動下的極限分佈。
  7. In this paper, we establish a comparison theorem on the oscillation of unbounded delay difference equations and some delay differential equations, and get a reasonable criterion for judging the oscillation of the former

    摘要建立了一類具有無界時滯點連續變量的差分方程與某類時滯微分方程振動性的比較定理，進而獲得前者的振動性的一些充分性判據。
  8. Comparison theorem of infinite horizon backwar

    無窮水平倒向隨機微分方程解的比較定理
  9. Another proof of the compare theorem

    倒向隨機微分方程比較定理的另一證明
  10. Stochastic differential equations ; comparison theorem ; weak convergence

    隨機微分方程比較定理弱收斂
  11. A comparison theorem for second - order linear impulsive delay differential equations

    關於二階脈沖時滯微分方程非振動性質的一個比較定理
  12. A comparison theorem is proved for the solutions of a backward - forward differential equations

    摘要證明了一類正倒向隨機微分方程解的比較定理。
  13. Oscillation comparison theorems of solutions for second order nonlinear elliptic differential equations

    二階非線性橢圓型微分方程解的振動比較定理
  14. Moreover, a comparision theorem is given, which extended the results of paper [ 2 ]

    在這一節中，我們還給出了一個比較定理，推廣了文[ 2 ]中的相關結果。
  15. Abstract : this paper gives a proof of a comparison theorem on the viscosity solution of hjb equation

    文摘:證明了與隨機控制問題有關的動態規劃方程粘性解的比較定理
  16. Conditions for permanence is established via the method of comparison involving multiple liapunov functions

    進而，利用李雅普諾夫函數和比較定理確定了持續生存的條件。
  17. Base on this idea, we give a series of sufficient conditions to determine stability properties of impulsive differential systems. firstly, we discuss stability of impulsive hybrid system. then we obtained the comparison results on stability and eventually uniform stability in terms of two measures for the above system

    基於這些思想，本文給出了一系列充分條件以判別脈沖混合微分系統的穩定性以及結合比較定理給出了系統關于兩個測度的穩定性和最終穩定性結果。
  18. 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
  19. By the comparison theorem, a series of properties of the backward - forward differential utility process is gotten, such as time consistence, monotonicity with respect to the terminal value, monotonicity with respect to the consumption and concavity

    運用比較定理，還證明了正倒向隨機微分效用過程的時間一致性、終值單調性、消費單調性和凹性等有關性質。
  20. Under the compact type condition a comparability theorem is founded on [ 0, - h ) by using the theory of noncompactness measure and upper and lower solutions method with monotone iterative techniques, three existence results of global solutions for ( 1 ) are obtained. the results are new, improve the relevant conclusions in reference [ 8 ]. 3

    在緊型條件下，利用非緊性測度的性質和上下解方法，在[ 0 ， + ）上建立了比較定理和單調迭代法，得到了（ 1 ）在[ 0 ， + ）上整體解三個存在性結果，這些結果是新的，也是對文[ 8 ]中相應結果的推廣。
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