運算元半群 的英文怎麼說
中文拼音 [yùnsuànyuánbànqún]
運算元半群
英文
semigroup of operators- 運 : Ⅰ動詞1 (物體位置不斷變化) move; revolve 2 (搬運; 運輸) carry; transport 3 (運用) use; wield...
- 算 : Ⅰ動詞1 (計算數目) calculate; reckon; compute; figure 2 (計算進去) include; count 3 (謀劃;計...
- 半 : Ⅰ數詞1 (二分之一) half 2 (在 中間的) in the middle; halfway 3 (比喻很少) very little; the l...
- 群 : Ⅰ名詞(聚在一起的人或物) crowd; group Ⅱ量詞(用於成群的人或物) group; herd; flock
- 運算 : [數學] operation; arithmetic; operating
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Russell ( [ 17 ] ) has showed that, a compact perturbation, generated from unitary operator groups in infinite - dimensional linear hilbert spaces, is unable to make the perturbed semigroup exponentially stable
Russell ( [ 17 ] )曾指出,無限維hilbert空間中的酉運算元群對生成的緊擾動不能使被擾動半群具有指數穩定性。In chapter 6, we study existence of the weak solutions for a class of the nonlinear dirichlet problems on h " and estimates of the eigenvalues about the subelliptic operators on heisenberg group
最後,我們在heisenberg群上研究幾類半線性次橢圓方程的弱解存在性問題和幾類次橢圓運算元的特徵估計問題。Generation of increasing integrated semigroups of strong - contractions
增加的強壓縮積分運算元半群的生成Some estimators about approximations and convergent rates for operator semigroups
運算元半群逼近及收斂速度的幾個估計式Elliptic maximum principle and krein - rutman theory with parabolic maximum principle and operator semigrou
定理以及拋物極值原理與運算元半群By using the operator semigroup theory we prore the existence of a unique positive solution of this model on c0 and study the spectral properties of the corresponding operator
我們運用運算元半群理論,證明了此模型在序列空間c 。上存在唯一非負的時間依賴解,並且研究了相應運算元的譜特徵。In this paper, we study the cold redundant repairable system with two indentical components, obtain its existence and uniqueness of a dynamic state nonnegative solution by strongly continuous semigroup of operators theory
摘要用強連續運算元半群理論給出了兩相同部件冷貯備可修系統動態非負解的存在唯一性證明。The paper will apply the methods of differential dynamical system and of functional analysis to the study of a series of linear operators and semigroup - nonwandering semigroup in chaotic dynamical system
本文將利用微分動力系統和泛函分析的方法,著重研究混沌動力學中的一類線性運算元以及運算元半群? ?非游蕩運算元半群。In this paper, we use the analytical method. by using the theory of semigroups of linear operators, we study the integrated semigroups of linear operators and their applications to continuous - time markov chains ( ctmcs )
本文著力于使用分析的方法,以運算元半群理論為工具,研究積分運算元半群及其在時間連續markov鏈中的應用。In addition, in a certain infinite dimensional space, the paper will provide an example of nonwandering semigroup and a sufficient condition for nonwandering semigroup. according to recent results and methods, we may get the hypercyclic decomposition of nonwandering semigroup. and, we will discuss the hypercyclic decomposition from the multi - hypercyclic operator provided not long ago
本文還將在特定的無窮維空間找出具體的非游蕩運算元半群例子,將給出非游蕩運算元半群的一個充分條件,且依照已有的結果和方法獲得非游蕩運算元半群的超循環運算元半群分解。In addition, the paper will analyze the existence condition for nonwandering semigroup by the methods of topological dynamical system. from the mature results of finite dimensional space, such as the topological mixing, we discuss any other methods to solve the problems of infinite dimensional space, so as to provide the similar methods for the similar work
另一方面,本文將結合微分動力系統和拓撲動力系統的研究方法,主要從微分動力系統的角度,從根本上分析非游蕩運算元半群存在的條件,並結合與此密切相關的有限維空間的一些成熟的理論,如拓撲動力系統中的拓撲混合性等,從不同角度試圖解決無窮維空間的結論。As the applications of mixed monotone operators theory, some classes of equations are considered. some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed. some known results are generalized under weak conditions. and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup. the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained
作為混合單調運算元理論的應用,本章討論了非線性混合單調脈沖積微分方程和混合單調非線性橢圓方程方面的一些問題,不同程度地削弱了原有的條件,推廣了已知的結果;還利用錐理論並結合運算元半群的性質及其主要特徵討論了非線性脈沖發展方程初值問題、周期邊值問題,給出了混合單調非線性脈沖發展方程的耦合周期解以及存在唯一解的充要條件。The paper will utilize the properties and the latest work for hypercyclic operators and semigroups, and particularly for the theory of nonwandering operators, hypercyclic semigroups, and chaoticand semigroups. combining their definitions, we will form their connections
本文利用超循環運算元和半群的性質和最新的研究進展,著眼于非游蕩運算元理論與超循環運算元(及半群) 、混沌運算元(及半群)或者更一般的半群,結合各自定義建立之間聯系。We mainly consider completely monotone functions from semigroup to operator algebras
我們主要討論了作用在半群上取值于運算元代數的完全單調函數。Some notes for a c0 - semigroup with continuity in the uniform operator topology in hilbert space
0半群一致運算元拓撲連續的幾點注記We also give out the notion of mild degenerate a - times integrated existence family, and prove that the wellposedness of the a - times abstract cauchy problems is equivalent to mild degenerate a - times integrated existence famliy generated by operator a where a satisfies with some conditions and degenerate a - times integrated semigroups mild generated by a. at last, we conclude the generation theorem of degenerate a - times integrated semigroups. and we prove that degenerate a - times integrated semigroups mild generated by a is equivalent to generated by a
我們也給出了mild退化-次積分存在族的概念。我們證明了, ( + 1 ) ( r ) -次抽象cauchy問題的適定性和閉線性運算元a在一定條件下, a的mild退化-次積分存在族以及a次生成退化的-次積分半群是等價的。最後,我們也給出了退化-次積分半群的生成定理。Similarly, we prove that the c - wellposedness of the a - times abstract cauchy problems is equivalent to mild degenerate a - times integrated c - existence famliy mild generated by operator a where a satisfies with some conditions and degenerate a - times integrated semigroups mild generated by a. finally, we obtain the generation theorem of degenerate a - times integrated c - semigroups. and we prove that degenerate a - times integrated c - semigroups mild generated by a is equivalent to generated by a
我們同樣證明了( + 1 ) ( r ) -次抽象cauchy問題的c -適定性和閉線性運算元a在一定條件下,其mild退化-次積分c存在族以及a次生成退化-次積分正則半群是等價的。我們也證明了退化-次積分正則半群的生成定理。A important result abrout the left - infinitesimal operator and the right - resolvent operator of a two - parameters semigraoup
雙參數半群的左無窮小運算元和右預解運算元的一個重要結果In this thesis, the solution of kolmogorov backward differential equations in birth and death process theory has been proved to be well - posedness by using the theories and methods of linear operator co semigroup in functional analysis. and the existence of superior eigenvalue of the coefficient matrix of the equations has been studied by using the theories of positive operator and conjugate operator
論文主要用泛函分析中的線性運算元c _ 0半群理論研究生滅過程理論中柯爾莫哥洛夫向後微分方程組解的適定性,及用正運算元和共軛運算元的理論和一些結論研究了該方程組系數矩陣運算元的占優本徵值的存在性問題。On some reasonable assumptions, the existence and the uniqueness of the solution of partial differential equation are proved by using the semigroup theory ; then based on the current basin temperature from the practical survey, the mathematical model about the identification problem is established, and the identifiability and the existence of the optimal solution of the identification problem are proved ; in terms of the adjoint method presented by chavent, the optimality condition of the identification problem is given ; finally the corresponding algorithm is devised
在適當的假設條件下,利用運算元半群方法證明古地溫度場方程解的存在惟一性;根據現今實測溫度,建立了問題的參數識別模型;證明了可識別性、最優解的存在性;利用chavent等人提出的伴隨方法,給出參數識別問題最優解存在的最優性條件和求該參數識別問題的演算法。分享友人