comparison theorem 中文意思是什麼

comparison theorem 解釋
比較定理
  • comparison : n. 1. 比較,對照;類似。2. 【語法】比較法;【修辭學】比喻。
  • theorem : n. 1. (能證明的)一般原理,公理,定律,法則。2. 【數學】定理。
  1. This paper consists of three parts : we first consider the non - autonomous predator - prey system with both beddirigton - deangelis functional response and dispersion. by using comparison theorem of differential equation, we study the permanance of the system. after that, by constructing suitable lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system

    本文研究三方面的內容:第一部分考慮具有擴散和beddington ? deangelis功能反應的捕食-食餌系統,利用微分方程比較原理得到該系統一致持續生存的條件;通過構造適當的lyapunov函數得到了該系統存在全局漸近穩定概周期解的充分條件。
  2. First, how to conduct sample and quantification of continuous time signal which is prior condition of sdr is explored in detail, and the comparison and analysis of some sample modes are given in which band pass signal sampling theorem is most important. second, multi - sample rate signal processing which is an important basis of sdr is studied. emphasis are put on decimation and interpolation those are the most fundamental process and the realization of decimation and interpolation filter

    在基於中頻采樣的軟體無線電結構框架下,首先詳細探討了軟體無線電的前提條件,即如何對連續時間信號進行采樣量化,比較分析了幾種采樣的方式,其中最為重要的是帶通信號采樣定理;然後探討了軟體無線電的一個重要基礎,即多采樣率信號處理,重點討論其最基本的兩個過程抽取和內插以及抽取器和內插器的實現;接著介紹了結構簡單、適用於一級抽取的cic濾波器和適用於做2倍抽取的半帶濾波器;再次論文在總結了傳統的調制解調基礎上,結合軟體無線電器件的特點,系統的探討並實現了基於正交思想的am 、 fm 、 ask 、 fsk 、 bpsk 、 qpsk的正交調制解調演算法。
  3. Therefore, in the first chapter, we shall construct two new comparison results for ivp ( 1. 1 ), and then we obtain an existence theorem of ivp ( l. l ) by means of the monch fixed theorem, which conditions are wider than the paper [ 2 ] and [ 4 ]. now, we state the main results as follows : lemma 1. 5 ( comparison results ) letsatisfy where m ( t ), n ( t ) are positive bounded and integrable functions

    本章首先建立兩個新的比較結果,利用m袖ch不動點理論,在比文網凹更廣泛的條件下得到解的存在性定理其主要結果如下:引理1祉卜匕較結果)設pepc je nc 『廠在滿足lp 』三一m ( t ) p ? n (川tp ) , vtej ,意一k , ( o卜
  4. 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。
  5. 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。
  6. 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。
  7. In the proof, by the subsystem which makes the discussion more convenient, we get more brief sufficient conditions. we also use the comparison theorem, liapunov functional method and razumikhin function method

    在以上的證明中,考慮了系統的獨立子系統,使問題更加簡單,條件更加簡捷,並且使用了比較原理、 liapunov泛函方法、 razumikhin函數法。
  8. 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。
  9. 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。
  10. 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。
  11. Comparison theorem of infinite horizon backwar

    無窮水平倒向隨機微分方程解的比較定理
  12. Stochastic differential equations ; comparison theorem ; weak convergence

    隨機微分方程比較定理弱收斂
  13. 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
  14. 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。
  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. 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
  17. 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。
  18. The present paper deals with the sufficient and necessary condition of the final positive solutions of non - linear partial - difference equations and first presents the comparison theorem

    摘要建立關于具有連續變量非線性偏差分方程存在最終正解的充要條件。
  19. By means of the comparison theorem, and the oscillation of some non - linear partial difference equations is discussed and some concise conditions and authenticity are given

    給出系統振動的比較定量,利用比較定理討論了一類非線性偏差分方程的振動性,給出簡單的判別條件及證明。
  20. This paper study the character and application of the solution of bsde, the main results include : for the second kind of bsde, the existence and uniqueness of the solution under non - lipschitz condition, comparison theorem and stability are established, under weaker condition, the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given ; for the first kind of bsde, under weaker condition, the existence of minimal and maximal solution. stability, comparison theorem and application to utility function are proved

    本文研究倒向隨機微分方程解的性質及其應用,主要結果有:針對第二類方程,討論了在非lipschitz條件下倒向隨機微分方程解的存在唯一性,比較定理及穩定性等,在更弱條件下,得到了倒向隨機微分方程的最大解和最小解的存在性,在此基礎之上,給出了在隨機控制及效用函數方面的應用;針對第一類方程,同樣在較弱條件下,證明了方程最大、最小解的存在性、穩定性、比較定理及其在效用函數的應用。
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