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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. 利用不动点指数理论对一类算子方程建立了多重正解的存在性定理，通过相应的线性算子的谱半径，给出其正解存在与具有多解的条件。
- 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. 利用不动点指数理论对一类算子方程建立了多重正解的存在性定理，通过相应的线性算子的谱半径，给出其正解存在与具有多解的条件。
- ill - posed linear operator equation 不适定线性算子方程
- Each observable is represented by a densely defined Hermitian( or self-adjoint) linear operator acting on the state space. 每个可见由详细定义的厄密共轭(者同一伴随矩阵)用于状态矢量空间线性操作者来表现。
- Keywords: Semilinear operator equation, operator of monotone type, compactperturbation, solvability of the equation. 关键词:半线性算子方程;单调型算子;紧扰动.
- Each observable is represented by a densely defined Hermitian (or self-adjoint) linear operator acting on the state space. 每个可见由详细定义的厄密共轭(或者同一伴随矩阵)作用于状态矢量空间线性操作者来表现。
- These facts suggest a simple way of charaterizing linear operation. 这些事实提示我们，可以用一个简单方法来描述线性运行。
- Optimal control for a class of the operator equation in a Hilbert space and with application On the Gontrol of the distributed parameter system. 希氏空间中一类算子方程的最佳控制及其在分布参数系统控制中的应用
- Obviously, sin() is not a linear operator, so even though wavenumber is a vector, sin(vector) is not a vector. 显然这样做的结果是不正确的，那么问题出在哪里。
- The property of the probabilistic norm of the linear operator in PN space with unit circle N (0, 1) is discussed. 摘要利用单位圆N(0,1)讨论PN空间中线性算子的概率范数的几个性质。
- The iterative construction of interpolating space is discussed by K-method and it is characterized by linear operator. 摘要用K方法讨论内插空间的迭代构造，并用线性算子对其特征进行研究。
- 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. 构造一个光滑化函数逼近NCP-函数，利用光滑化牛顿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. 对模型进行了分析，运用线性算子半群理论研究了模型的解的适定性。
- By using the semigroup of bounded linear operator,a new locally convex vector topological is introduced,and some propositions of it are given. 利用有界线性算子半群;引入了一新的局部凸向量拓扑;并对其基本性质进行了讨论.
- These facts suggest a simple way of characterizing linear operation. 这些事实提示我们,可以用一个简单方法来描述线性运行。
- 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算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。
- 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. 讨论描述希尔伯特空间最终范数连续半群特征的一个算子方程的解,给出这个解的一个显式表达式。
- 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扑，并对其基本性质以及在新的局部凸线性拓扑意义下C-半群的性质进行初步研究。
- 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. 模糊赋范空间理论是模糊分析学的重要组成部分，幂集线性算子则是经典线性算子在模糊赋范空间中的极为合理的表现形式。
- Convex space,Cauchy sequence Bahach space and linear operator are expanded to extensive set. Their definitions are given,and some theorems are obtained. 给出了可拓赋范空间 ,可拓 Cauchy列 ,可拓 Bahach空间 ,可拓线性算子的定义 ,并得到若干性质
