連續泛函 的英文怎麼說

中文拼音 [liánxùfànhán]
連續泛函 英文
continuous functional
  • 連 : Ⅰ動詞1 （連接） link; join; connect 2 （連累） involve （in trouble）; implicate 3 [方言] （縫） ...
  • 續 : Ⅰ形容詞（連接不斷） continuous; successive Ⅱ動詞1 （接在原有的后頭） continue; extend; join 2 （...
  • 泛 : Ⅰ動詞1 [書面語] （漂浮） float; drift 2 （透出; 冒出） be suffused with 3 （淹沒） inundate; floo...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 連續 : continuation; succession; series; continuity; continuing; running; continuous; successive; contin...
  1. In chapter 3, two nonlinear modified gilpin - ayala models with distributive delay and continuous diffusion are studied. some simple sufficient conditions for globally asymptotically stable and asymptotically stable of the unique positive equilibrium point are established by constructing lyapunov functional

    在第二章中，我們研究的擴散行為是離散的，而在第三章中，我們研究兩類含連續擴散行為的非線性時滯gilpin - ayala模型（反應擴散方程） ，通過構造lyapunov泛函獲得其平衡態全局漸近穩定、漸近穩定的一些充分條件。
  2. The existence problem of linear non - continuous functionals on topological linear spaces

    拓撲線性空間中不連續線性泛函的存在問題
  3. In the present paper, a max - min theorem and a max theorem are proved on local convex topological linear spaces, as an application, it is obtained that there exists optimal mixed strategies in a two - person game with an infinite pure strategy set

    摘要證明了局部凸線性拓撲空間上實值連續泛函的極大極小定理與極大定理，並由此證明了一類具有無限純策略集的二人對策中最優混合策略的存在性。
  4. Throughout the following of this section, e denotes a real banach space and p is a cone in e. in chapter, a new three - solution theorem is obtained. moreover, the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases, namely they are united. so they are improved. the main results can be stated as the following : let d be a nonempty bounded close convex subset in e, and nonnegative continuous functional on d. and is concave while is convex. suppose 0 < d and denote

    首先我們約定，在下文中， e是實banach空間， p是e中的錐。在第一章中，我們利用錐理論與不動點指數理論統一了著名的amann三解定理與leggett - williams三解定理。主要結論是：設d是e中的非空有界閉凸集， ，是d上的非負連續泛函，且是凹泛函，是凸泛函。
  5. The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem

    （ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。
  6. Secondly, the nonlinear optical properties with pna molecule in different solvents are studied through using the polarized continuum model and few states approach on the base of time dependent density functional theory, and the first order nonlinear hyperpolarizabilities in second harmonic generation process are computed

    然後在含時密度泛函理論基礎上採用極化連續模型和少態方法研究了不同溶劑中pna分子的非線性光學性質，計算了二次諧波振蕩過程的一階非線性超極化率，並討論了pna分子的非線性光學性質與溶劑極性之間的關系。
  7. 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。
  8. In chapter l, we introduce the relative background on this paper and give some simple expressions of the work which have been studied. in chapter 2, in virtue of the notion of likelihood ratio the limit properties of the sequences of dependent nonnegative continuous random variables are studied, and a class of strong limit theorems represented by inequalities are obtained. the bounds given by these theorems depend on positive constant c. in chapter 3, by means of the notion of log likelihood ratio, a kind random strong deviation theorem are obtained, and the bounds given by these theorems depend on r ( )

    第一章，介紹本論文的選題背景，對已有的工作進行扼要的介紹；第二章，利用似然比的概念研究相依連續型非負隨機變量序列的極限性質，得到一類強偏差定理，其偏差界依賴于正常數c ；第三章，利用對數似然比的概念得到一類隨機偏差定理，其偏差界依賴于r （ ） ，證明中引進了尾概率和尾概率的laplace變換的概念；第四章，利用對數似然比的概念，得到了一類關于任意連續型隨機變量序列的泛函的強偏差定理。
  9. The polarized continuum model is used to simulate the influence of the solvent environment on the solute molecule. in the first place, the geometry optimization of pna molecule in each solvent is redo by using the polarized continuum model on the base of density functional theory

    首先，在密度泛函理論基礎上採用極化連續模型重新優化了pna分子在每種溶劑中的幾何結構，研究了不同溶劑對pna分子的幾何結構的影響。
  10. Next we study the logistic model with both state - dependent delays and continuous delays and feedback control. with the help of coincidence degree theory, some new results for the existence of the postive periodic solution of the system are obtained. also, by constructing suitable lyapunov functional, some sufficient criteria for the uniqueness and globally asymptotic stability of positive periodic solution are established

    第二部分研究同時具有狀態依賴時滯和連續時滯的反饋控制logistic增長模型，利用重合度理論研究其正周期解的存在性問題，得到了該系統周期正解存在的充分性條件；通過構造適當的lyapunov泛函得到保證該系統存在全局穩定周期解的充分性條件。
  11. Forced oscillation of high - order nonlinear partial functional differential equations

    具連續分佈滯量的高階非線性偏泛函微分方程的強迫振動性
  12. The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces. the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional euclidean spaces. the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space

    ?引入了集值映射的-預解運算元概念；藉助于偏序理論證明了有限維歐氏空間中的單值映射可同秩lipschitz連續拓展；討論了有限維歐氏空間中的極大-單調集值映射的-預解運算元在什麼條件下是整個空間上的一個lipschitz連續的單值映射，這一結果也在有限維空間上解決了上面提到的公開問題；還討論了真泛函的-次微分映射的-預解運算元在什麼條件下是整個空間上的一個lipsehitz連續的單值映射。
  13. Besides, we show the method and result in the research of the heart rate variability. it is proved that the nonlinear analysis is much more effective in the clinical diagnoses of heart disease. by the end of this dissertation, we list some problems for our future works including chaos in discrete time ~ varying systems, srb measures of the chaotic map in the sense of marotto, complex dynamics of both h. h. model and cou - pled integrate - and - fire models, strange attractors in h6non systems with classical parameters

    在本文的第五章中，我們給出了一類一維時滯泛函微分方程穩定性的判別法，而這一方程本身可以用來刻畫連續的具有動態閾值的神經元模型；此外，我們介紹了非線性指標在心律變異中的具體應用與部分的分析結果，以進一步說明非線性分析在心律變異研究中的有效性和實用性
  14. A function in the circular discontinuous wave - guide

    不連續圓形波導中的泛函
  15. This paper studies the systems of nonlinear neutral parabolic partial functional differential equations with continuous distributed deviating arguments, sufficient conditions are obtained for the forced oscillation of solutions of the systems

    摘要研究具有連續分佈偏差變元的非線性中立型拋物偏泛函數分方程系統，獲得了系統解的強迫振動的充分條件。
  16. In section 4, the concepts of continuous mean functional and continuous mean family are given

    第4節提出了連續平均泛函、連續平均族的概念
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