基本解释：自伴算子
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Examples prove that the product of two self-adjoint operators may not be a self-adjoint operators and the product of two different non-self-.该文主要讨论了由正则和奇异的4阶对称微分算式生成的微分算子的积算子的自伴性,得到了I(I=[a,b]或[a,+∞))上的积算子L=L2L1是自伴算子,当且仅当AQ_4~(-1)(0)C=BQ_4~(-1)(0)D;I上的幂算子L_1~(2)是自伴的充要条件是L1是自伴的,并且给出了反例,说明2个自伴算子的积不一定是自伴算子,不同的非自伴算子的积可以是自伴算子。
In this paper,the adjointness of the product of three differential operators were discussed by means of the construction theory of self-adjoint operators and matrix computation,and generated by a second order symmetric differential expression,including ordinary and singular two cases.利用自伴算子的基本理论及矩阵运算,讨论了由正则和奇异的二阶对称微分算式生成的微分算子的积算子的自伴性,得到了3个算子的积算子是自伴的充分必要条件。
This paper mainly studies the solutions of the nonlinear Schrodinger equation with a small parameter; gives the properties of the eigenstates for the self-adjoint operator, namely, the orthogonality and completeness; introduces the perturbation theory in which people get the approximate solution of differential equations.本文主要研究了一类带有小扰动参数的非线性Schr(?)dinser方程的求解问题，讨论了自伴算子的本征函数的正交性和完备性，介绍了寻求微分方程的近似解常用的摄动方法，并从带有某种扰动项的NLS方程出发，利用多重尺度的摄动方法得到了方程的零级近似方程和一级近似方程，通过对近似方程中算子的特征态的讨论，引入适当的“导出态”，建立了算子在L_2空间的特征态的完备性。
The spectrum is investigated for a class of nonselfadjoint operators with deep mechanic background, i.研究了一类有深刻力学背景的非自伴算子(即无穷维Hamilton算子)的谱,给出了一类无穷维Hamilton算子的谱的刻画。
The spectra are investigated for a class of nonselfadjoint operators,i.研究了一类非自伴算子(无穷维Hamilton算子)的谱,刻画了一类无穷维Hamilton算子的点谱、剩余谱和连续谱,并举例验证了结果的有效性。
Bi-Jordan Derivations on Jordan Algebras of Selfadjoint Operators自伴算子的Jordan代数上的双Jordan导子
Sufficient Condition for the Discreteness of Spectrum of 2n-th Order J-self-adjoint Differential Operation;2n阶J-自伴算子的谱是离散的充分条件
completely continuous self-adjoint operator完全连续自伴随算子
self-adjoint elliptic differential operator自伴椭圆型微分算子
On Self-adjointness of the Product of Two Hamiltonian Operators两个Hamilton算子积的自伴性
The Resolvent Operator and Spectrum of 2n-order J-self-adjoint Vector Differential Operator;2n阶J-自伴向量微分算子的预解算子及其谱
The eigenvalue expansion of a non-self-adjoint Dirac operator;一个非自伴Dirac算子的特征展开
Analytic Descriptions of a Class Three-order Differential Operators’ Self-adjoint Domains一类三阶微分算子自伴域的解析描述
The Discreteness of the Spectrum of 2nth Order One Term J - self - adjoint Differential Operators;单项2n阶J-自伴微分算子谱的离散性(英文)
Self-Adjoint Boundary-Value Problems for Products of Differential Operators and Spectral Properties of a Class of Differential Operators;微分算子乘积的自伴边值问题与一类微分算子的谱特征
Conditions for the Discreteness of Spectra of Two-item Self-adjoint Vector Differential Operators两项自伴向量微分算子的谱是离散的充分条件(英文)
Self-Adjoint domain of Dirac operator with classical method;一维正则Dirac算式自伴域的古典刻画
Self-adjoint domain of one-dimensional singular dirac operator一维奇型Dirac算式自伴域的刻画
This computerized tablet is called the shopping buddy.这种计算机式的板子叫做“购物伴侣”。
An Adjoint Integrated Semigroup and Its Properties伴随积分算子半群及其性质(英文)
The Electric Performance Testing System Based on Computer for Self-Regulating Heating Cable;基于计算机的自限温伴热带电气性能测试系统
Partner selection solving based on a self-adaptive genetic algorithm for virtual enterprise;基于自适应遗传算法的虚拟企业伙伴选择求解
A Kind New the Families of Left-continuous t-norm and Their Families of Residual Implication Operators一类新的左连续三角模族及其伴随蕴涵算子族
