functional equation 中文意思是什麼

functional equation 解釋
函方程, 泛函方程
  • functional : adj 1 官能的，機能的。2 在起作用的；職務上的。3 【數學】函數的。4 【建築】從使用的觀點設計[構成]...
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. Analytic solutions of an iterative functional equation x bx

    方程特殊擬周期解的構造
  2. Oscillations of nth - order nonlinear neutral equation with functional arguments

    階非線性中立型方程的振動性
  3. This paper provides the functional equation and parametric expression of rooted near triangulations on the torus with the size and the valency of the root - face as two parameters, and gives an explicit formula for the number of rooted near triangulations of the root face valency one on the torus with the size as a parameter

    本文提供了環面上帶邊數和根面次這兩個參數的有根近三角剖分的函數方程及其參數表達式，並給出了根面次為1以邊數為參數的有根近三角剖分地圖的精確解
  4. This paper provides the functional equation of general rooted maps with the number of inner faces, the rooted face valency and the number of non - rooted vertices as parameters on the torus, and gives an explicit expression of the enumerating function of these maps with the number of inner faces and of non - rooted vertices, then the number of these maps with the size as a parameter whose asymptotic result had been obtained in [ 2 ] is obtained as a corollary

    這篇文章給出了環面上以內面個數，根面次和非根節點個數為參數的一般有根地圖的計數方程，導出了以內面個數和非根節點個數為參數的這類地圖的計數方程的精確解.作為推論，推出了以邊數為參數的這類地圖的個數，其近似解在文獻[ 2 ]中已討論
  5. White noise functional solutions of wick - type stochastic fisher equation

    方程的白噪聲泛函解
  6. 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。
  7. The existence and uniqueness of global solutions in a functional differential equation model of biological population

    一個有關生物種群的泛函微分方程模型整體解的存在性和唯一性
  8. Abstract : this paper provides the functional equation of general rooted maps with the number of inner faces, the rooted face valency and the number of non - rooted vertices as parameters on the torus, and gives an explicit expression of the enumerating function of these maps with the number of inner faces and of non - rooted vertices, then the number of these maps with the size as a parameter whose asymptotic result had been obtained in [ 2 ] is obtained as a corollary

    文摘:這篇文章給出了環面上以內面個數，根面次和非根節點個數為參數的一般有根地圖的計數方程，導出了以內面個數和非根節點個數為參數的這類地圖的計數方程的精確解.作為推論，推出了以邊數為參數的這類地圖的個數，其近似解在文獻[ 2 ]中已討論
  9. 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。
  10. Equation of predator functional response and estimation of the parameters in it

    捕食性昆蟲的功能反應方程及其參數的估算
  11. Equation of state ( eos ) is, in a broad sense, the functional expression which gives the relationship of the vary parameters for the substance system, which shows the properties of the substance in the condition of thermodynamics

    從廣義上講，物態方程是泛指描述處于熱力學平衡態的物質系統的各種狀態參量之間關系的函數表達式，用來表達在一定熱力學條件下物質的性狀。
  12. In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation. we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion. finally, we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families

    第四章我們主要研究了k -正則預解運算元族的遍歷極限的收斂率和逼近。藉助于k -泛函和相對完備化，給出了k -正則預解運算元族在0點的遍歷性，證明了一些基本性質。我們也證明了k -正則預解運算元族的遍歷極限的收斂率和逼近的一些結果。
  13. Existence, uniqueness and continuous dependence of c0 solutions for an iterative functional equation related to invariant curves of functional differential equations with piecewise constant arguments are given under weaker conditions than that known results of c1 solutions. symmetry is also considered so that some obtained results are generalized to rn

    本章首先討論了與逐段常時滯泛函微分方程不變曲線有關的一類迭代函數方程的連續解的存在唯一性和連續依賴性，不但弱化了已有結果的c ~ 1光滑性的條件，還討論了連續解的對稱性，並根據對稱性將一些結果推進到高維。
  14. At last, a better idea is presented : in fact, the problem of computing the shape distance between two open curves can be changed to the problem of a functional extremum, therefore, we can get the shape distance through solving an euler equation

    本文在最後還證明了這樣一個結論，兩條平面開曲線的形狀距離的計算問題可以轉化為一個泛函的極值問題，於是通過解一個歐拉方程就可以求出兩條開曲線的形狀距離。
  15. We summarize some known results on hyers - ulam stability of functional equations in single variable, simplify conditions in three senses for the generalized gamma functional equation. furthermore, we discuss hyers - ulam stability of a nonlinear iterative equation and prove existence and uniqueness of solutions near its approximate solutions

    本章在綜述單變量的函數方程hyers一ulam穩定性的有關結果的基礎上，簡化了有關廣義r一函數方程在三種意義下的hyers一ulam穩定性的條件並給出了一些不同於經典r一函數方程的例子
  16. Stability of a neutral stochastic functional differential equation

    隨機中立型泛函微分方程的穩定性態
  17. Problem of periodic solutions for neutral functional differential equation

    中立型泛函微分方程周期解問題
  18. The stability of d - operator functional differential equation with infinite delay

    無窮時滯運算元型泛函微分方程的穩定性
  19. In chapter 3, existence of quasi - convex, quasi - concave, convex and concave solutions of a linear iterative functional equation are studied

    第三章研究了線性型迭代方程的擬凸解、擬凹解、凸解及凹解的存在性。
  20. Moreover, existence, uniqueness and continuous dependence of decreasing solutions and non - monotonic solutions for a linear iterative functional equation are discussed. some corresponding results are generalized to a quasi - linear iterative equation

    本章還討論了線性型迭代方程的遞減解與非單調解的存在唯一性及連續依賴性，並將相關結果推廣到擬線性型迭代方程。
分享友人
分享到 Line

分享到臉書