Banach空间上有界线性算子的广义谱分析

在文献[1]的基础上,进一步在Banach空间上讨论了有界线性算子T的广义谱集σG(T),证明了当λ∈σR(T)∪σP(T)时R(Tλ)闭,则σG(T)即为经典谱分类中的T的连续谱集σC(T).     

计算广义Bott-Duffin逆的迭代方法(英文)

该文我们考虑计算广义Bott -Duffin逆的迭代方法 ,研究了迭代公式收敛的充分必要条件。     

Simple generalized restricted modules for graded Lie algebras of Cartan type

Let %L=X(m:n) (2), X∈{W,S,H,K}% be a simple graded Lie algebra of Cartan type over a field %F% of characteristic p>3. With the aid of Farnsteiner's generalized reduced Verma module, a connection between the simple GR modules and simple graded modules of L is eastablished.     

广义Golden数的逼近公式

讨论广义Ｇｏｌｄｅｎ数的逼近，并给出了一个简单公式     

广义系统的稳定性分析

主要是分析了线性广义系统的矩阵束［Ｅ、Ａ］的不变子空间的结构，同时详细讨论了其强（弱）指数渐近稳定性，得到了一个其强（弱）指数渐近稳定的充分必要条件。     

普适静力能的定量分析

引用一个能描述无云和有云天气下，大气稳定度的能量学物理量——普适静力能和一个二维积云模式的输出结果，分析计算湿静力能廓线和普适静力能廓线．结果表明，在云内和云下降水区，由于液态水或固态水的存在，普适静力能与湿静力能相差较大；在行星边界层，普适静力能比湿静力能大１３Ｊ／ｇ．     

应用傅里叶级数展开定理证明推广的黎曼—勒贝格引理

考虑推广的黎曼—勒贝格引理的证明方法问题,利用傅里叶级数收敛定理的结果,给出了新的证法过程.     

广义Apostal-Bernoulli-Euler多项式之间的几个恒等式

给出了广义Apostol-Bernoulli多项式,广义Apostol-Euler多项式之间的有趣的恒等式,多个参数的组合数出现在了等式中,非常漂亮,从而深化和推广了相关文献中的相关结果.     

广义扭曲双代数

引入了余代数上余扭曲子的概念,利用余扭曲子构造了余代数上一种新的余代数结构,同时给出了一个双代数上的扭曲代数结构和扭曲余代数结构构成双代数的充分条件.     

Hamilton-Jacobi-Bellman equations and dynamic programming for power-optimization of a multistage heat engine system with generalized convective heat transfer law

A multistage endoreversible Carnot heat engine system operating between a finite thermal capacity high-temperature fluid reservoir and an infinite thermal capacity low-temperature environment with generalized convective heat transfer law [q∝(ΔT) m ] is investigated in this paper.Optimal control theory is applied to derive the continuous Hamilton-Jacobi-Bellman (HJB) equations,which determine the optimal fluid temperature configurations for maximum power output under the conditions of fixed initial time and fixed initial temperature of the driving fluid.Based on the universal optimization results,the analytical solution for the Newtonian heat transfer law (m=1) is also obtained.Since there are no analytical solutions for the other heat transfer laws (m≠1),the continuous HJB equations are discretized and dynamic programming algorithm is performed to obtain the complete numerical solutions of the optimization problem.The relationships among the maximum power output of the system,the process period and the fluid temperature are discussed in detail.The results obtained provide some theoretical guidelines for the optimal design and operation of practical energy conversion systems.