periodic solution 中文意思是什麼

periodic solution 解釋
周期解
  • periodic : adj. 1. 周期的，回歸的，定期的，定時的；間歇的，時時的。2. 某一時期的。3. 【修辭學】掉尾句的，圓周句的；美詞麗句的。adj. 【化學】高碘的。
  • 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. Periodic solution for a microbial ecologic model

    一個微生物生態模型的周期解
  2. Existence of positive periodic solution of multidelays facultative mutualism system

    互惠系統周期正解的存在性
  3. Existence and global attractivity of positive periodic solution in a kind of n dimensions nonautonomous lotka - volterra facultative mutualism with distributed delay

    互惠系統周期正解的存在性與全局吸引性
  4. Thirdly, we consider the n - dimensional duffing type equation with damping term. by virtue of homeomorphism, extension and fixed point method, we discuss the existence of periodic solution under the nonresonance condition

    再次，我們考慮n維的帶有阻尼項的duffing型方程，運用同胚延拓及不動點方法，討論了非共振條件下周期解的存在性問題。
  5. For example, in reference [ 12 ], the author studies the stability of system equilibrium with the method of latent root and the periodic solution of the marchuk ' s model with the method which provided by reference [ 13 ]

    例如，文[ 12 ]以時滯r為參數，利用特徵根法研究了該模型的平衡點的穩定性，利用文[ 13 ]的方法研究了該模型的周期解。
  6. On existence and uniqueness of periodic solution of li nard equation

    方程周期解的存在性與唯一性
  7. Almost periodic solution and periodic solution for an autocatalytic oscillatory model

    一個自催化振動模型的概周期解與周期解
  8. The second section : under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of camassa - holm equations with dissipative. by using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth s olution, global attractor in h ~ ( 2 ), t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved

    第二部分：在非線性控制邊界條件之下，對于帶耗散項的camassa ? holm方程的初邊值問題，用壓縮映射不動點原理及先驗估計方法，證明了整體光滑解的存在性、整體解的指數穩定性、 h ~ 2空間中整體吸引子的存在性以及時間周期解和殆時間周期解的存在性。
  9. The study of periodic solution a nonautonomous stage - structured system with time delay and cannibalism two kinds of additive maps on operator algebras

    具有時滯和自食的階段結構的合作系統的周期解的研究
  10. Then one can easily obtain the existence of periodic solution of the chemostat model

    然後在一致持續生存的條件下得到了該系統周期解的存在性。
  11. Finalh. the asymptotic behaviour of the chemostat model with two - nutrient and diffusion is further studied. the global attractivity of the periodic solution is proved under the unique existence of the periodic solution

    然後進一步研究具有周期環境的雙營養擴散恆化器模型的漸近性態，在周期解存在唯一的條件下證明了該周期解的全局吸引性。
  12. 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。
  13. In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay

    本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
  14. Periodic solution of a nonautonomous food chain system with type functional response and graze

    某類有放養的捕食鏈非自治系統的周期解
  15. Almost periodic solution

    殆周期解
  16. Sufficient conditions for the existence of positive periodic solution to certain neutral delay multispecies ecological competitive system are established by means of coincidence degree and some new techniques

    摘要利用重合度理論和某些新技巧建立了一類中立型時滯多物種生態競爭系統的周期正解存在的充分條件。
  17. Periodic solution for a class of duffing equations

    一類高階時滯微分方程的周期解
  18. The optimal harvesting policies that maximized the sustainable yield for nonautonomous single - species harvesting models, which had a unique globally asymptotically stable periodic solution, were obtained by fan meng [ 15 ] and li hailong [ 16 ]

    文獻[ 15 ] [ 16 ]討論了非自治單種群捕獲模型，在周期解存在唯一及全局漸近穩定前提下，為獲得最大可持續捕獲量，而得到最優捕獲策略
  19. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  20. Each chapter of the paper reads as follows. firstly, the uniform persistence of the system is proved ; secondly, by using the independent subsystem method, the more brief sufficient conditions for the existence and global attractivity of the periodic solution and a mathematical example is obtained to show its practicality. finally, the conditions of the existence of the positive almost periodic solution which is uniformly asymptotically stable are derived by the razumikhin function method and a mathematical example is obtained

    在本文中，首先對于這兩類模型，分別考慮各種群的一致持久性；通過對獨立子系統的討論得到了，當系統是周期系統時，周期正解的存在唯一和全局吸引性，當系統是概周期系統時，正概周期解的存在性和一致漸近穩定的條件，並對上述兩種情況分別給出了說明其可行性的數學例子。
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