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- In this paper, some multiple positive solu tions theorems of a class of operator equation are established by using fixed po int index and the spectral radius of the relative linear operator. 利用不動(dòng)點(diǎn)指數理論對一類(lèi)算子方程建立了多重正解的存在性定理，通過(guò)相應的線(xiàn)性算子的譜半徑，給出其正解存在與具有多解的條件。
- In this paper,some multiple positive solu tions theorems of a class of operator equation are established by using fixed po int index and the spectral radius of the relative linear operator. 利用不動(dòng)點(diǎn)指數理論對一類(lèi)算子方程建立了多重正解的存在性定理，通過(guò)相應的線(xiàn)性算子的譜半徑，給出其正解存在與具有多解的條件。
- ill - posed linear operator equation 不適定線(xiàn)性算子方程
- Each observable is represented by a densely defined Hermitian( or self-adjoint) linear operator acting on the state space. 每個(gè)可見(jiàn)由詳細定義的厄密共軛(者同一伴隨矩陣)用于狀態(tài)矢量空間線(xiàn)性操作者來(lái)表現。
- Keywords: Semilinear operator equation, operator of monotone type, compactperturbation, solvability of the equation. 關(guān)鍵詞:半線(xiàn)性算子方程;單調型算子;緊擾動(dòng).
- Each observable is represented by a densely defined Hermitian (or self-adjoint) linear operator acting on the state space. 每個(gè)可見(jiàn)由詳細定義的厄密共軛(或者同一伴隨矩陣)作用于狀態(tài)矢量空間線(xiàn)性操作者來(lái)表現。
- These facts suggest a simple way of charaterizing linear operation. 這些事實(shí)提示我們，可以用一個(gè)簡(jiǎn)單方法來(lái)描述線(xiàn)性運行。
- Optimal control for a class of the operator equation in a Hilbert space and with application On the Gontrol of the distributed parameter system. 希氏空間中一類(lèi)算子方程的最佳控制及其在分布參數系統控制中的應用
- Obviously, sin() is not a linear operator, so even though wavenumber is a vector, sin(vector) is not a vector. 顯然這樣做的結果是不正確的，那么問(wèn)題出在哪里。
- The property of the probabilistic norm of the linear operator in PN space with unit circle N (0, 1) is discussed. 摘要利用單位圓N(0,1)討論PN空間中線(xiàn)性算子的概率范數的幾個(gè)性質(zhì)。
- The iterative construction of interpolating space is discussed by K-method and it is characterized by linear operator. 摘要用K方法討論內插空間的迭代構造，并用線(xiàn)性算子對其特征進(jìn)行研究。
- A smoothing function which can be approximated by NCP-function is given and the smoothing Newton method is applied to resolve this nonsmooth operator equation. 構造一個(gè)光滑化函數逼近NCP-函數，利用光滑化牛頓法求解此非光滑算子方程。
- By using linear operator semigroup theory, it is shown that the solution obtained by the model is well-posedness. 對模型進(jìn)行了分析，運用線(xiàn)性算子半群理論研究了模型的解的適定性。
- By using the semigroup of bounded linear operator,a new locally convex vector topological is introduced,and some propositions of it are given. 利用有界線(xiàn)性算子半群;引入了一新的局部凸向量拓撲;并對其基本性質(zhì)進(jìn)行了討論.
- These facts suggest a simple way of characterizing linear operation. 這些事實(shí)提示我們,可以用一個(gè)簡(jiǎn)單方法來(lái)描述線(xiàn)性運行。
- The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric Analysis on manifolds. Riemann流形上的Laplace算子是一個(gè)重要的線(xiàn)性算子，也是流形上幾何分析研究的主要對象之一。
- We discuss the solution of an operator equation which describes the characterization of eventually normcontinuous semigroups on a Hilbert space. An obvious expression for the solution is given. 討論描述希爾伯特空間最終范數連續半群特征的一個(gè)算子方程的解,給出這個(gè)解的一個(gè)顯式表達式。
- By using the C-semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given. 摘要利用C-半群的概念，引入一新的局部凸向量拓撲，并對其基本性質(zhì)以及在新的局部凸線(xiàn)性拓撲意義下C-半群的性質(zhì)進(jìn)行初步研究。
- Fuzzy normed space theories are important parts in fuzzy analysis,while powerset linear operator is a reasonable form of classic linear operator in fuzzy normed space. 模糊賦范空間理論是模糊分析學(xué)的重要組成部分，冪集線(xiàn)性算子則是經(jīng)典線(xiàn)性算子在模糊賦范空間中的極為合理的表現形式。
- Convex space,Cauchy sequence Bahach space and linear operator are expanded to extensive set. Their definitions are given,and some theorems are obtained. 給出了可拓賦范空間 ,可拓 Cauchy列 ,可拓 Bahach空間 ,可拓線(xiàn)性算子的定義 ,并得到若干性質(zhì)
