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1.
In this paper, we define Sumudu transform with convergence conditions in bicomplex space. Also, we derive some of its basic properties and its inverse. Applications of bicomplex Sumudu transform are illustrated to find the solution of differential equation of bicomplex-valued functions and find the solution for Cartesian transverse electric magnetic (TEM) waves in homogeneous space.  相似文献   

2.
宋冰玉 《数学杂志》2011,31(2):197-204
本文研究了Finsler流形上距离函数的Laplacian.利用Schwarz不等式和[5]中主要方法,获得了具有负曲率的Laplacian比较定理,进而得到了Finsler流形上第一特征值的下界估计.  相似文献   

3.
A recovery model for the environment in agriculture-industry interactions is proposed, a special case of which is negative recovery (degradation). The model is analyzed as to its stability and bifurcation properties, as well as persistence or extinction of the environment and economic wealth. Numerical analyses and examples are given.  相似文献   

4.
本文研究了Finsler流形上的距离函数的Laplacian.利用指标引理和文献[4]中主要方法,获得了Ricci曲率有函数下界的Laplacian比较定理,改进了文献[6]和文献[7]的相关结果.  相似文献   

5.
6.
关于一个可积的广义Hamilton方程族   总被引:2,自引:0,他引:2  
本文利用r-矩阵生成了一个广义的Hamilton方程族,并证明了它是广义可积的,然后讨论了它和(4)中Liovville可积的新的广义Hamilton方程族之间的关系。  相似文献   

7.
In this paper, a fast algorithm for the discrete sine transform(DST) of a Toeplitz matrix of order N is derived. Only O(N log N) O(M) time is needed for the computation of M elements. The auxiliary storage requirement is O(N). An application of the new fast algorithm is also discussed.  相似文献   

8.
广义小波变换及其在人工神经网络中的应用   总被引:1,自引:0,他引:1  
相应于非线性系统用人工神经网络的逼近问题,本文引入了一种新的小波变换并研究了其性质.作为推论,本文给出了在Lp范数下单个隐层前馈神经网络逼近定理的构造性证明.  相似文献   

9.
本文研究了一类索赔过程与索赔额大小相关的风险模型.利用无穷小方法,得到了该相依模型的折扣惩罚函数的期望满足的方程.及其拉普拉斯变换的表达式.并且给出指数索赔时的具体运用.  相似文献   

10.
In this paper, we study an operator s which maps every n-by-n symmetric matrix A, to a matrix s(A_n) that minimizes || B_n-A_n || F over the set of all matrices B_n, that can be diagonalized by the sine transform. The matrix s(A_n), called the optimal sine transform preconditioner, is defined for any n-by-n symmetric matrices A_n. The cost of constructing s(A_n) is the same as that of optimal circulant preconditioner c(A_n) which is defined in [8], The s(A_n) has been proved in [6] to be a good preconditioner in solving symmetric Toeplitz systems with the preconditioned conjugate gradient (PCG) method. In this paper, we discuss the algebraic and geometric properties of the operator s, and compute its operator norms in Banach spaces of symmetric matrices. Some numerical tests and an application in image restoration are also given.  相似文献   

11.
ABSTRACT. Variability influences ecological processes at various scales and is incorporated in different ways in forest models. The forest model Dis CFor M scales an individual based, stochastic forest patch model up to a height structured tree population model. To describe the variability arising from stochastic processes in the patch model, Dis CFor M uses theoretical random dispersions of trees in each height class over all patches. This yields a spatial distribution of light and consequently of light dependent process rates. Three major influences of variability on simulations are examined: site condition, patch to patch, and temporal environmental variability. Simulation studies and comparison with forest compositions from the Swiss National Forest Inventory reveal that these influences affect simulated forest dynamics, species composition, and biodiversity, depending on climatic boundary conditions and hence have to be taken into account in modeling.  相似文献   

12.
贾旻茜  张宇欣  游雄 《计算数学》2022,44(3):379-395
Sandu和Günther[SIAM J.Numer.Anal.53(2015)17--42]对形如$\dot{y}=\sum\limits_{k=1}^{N}f^{[k]}(y)$的微分方程提出广义加性Runge-Kutta (GARK)方法.本文利用双色有根树导出GARK方法的阶条件,给出辛条件和对称性条件,并构造了三个二阶对称辛GARK (SSGARK)方法和两个四阶SSGARK方法.对三个经典测试问题的数值实验结果显示,与文献中几个非对称或非辛的ARK/GARK方法相比,新的SSGARK方法能更有效地保持Hamilton量.  相似文献   

13.
双曲分布及其在VaR模型分析中的应用   总被引:2,自引:0,他引:2  
谷伟  万建平  鲁鸽 《经济数学》2006,23(3):274-281
传统的计算V aR的R iskM etrics方法不能对市场风险分布的“厚尾”现象给出较为满意的刻画和计算方法.本文引入双曲分布及其算法并将双曲分布应用到V aR模型的计算之中,事实上通过对股票市场的实证研究表明,股票市场数据呈厚尾现象,用双曲分布对数据的拟合要比R iskM etrics方法假定的正态分布更符合金融市场数据的实际情况,故本文的结论与方法对金融风险管理和其他金融建模是有价值的.  相似文献   

14.
应用q-微分算子Leibniz公式,证明了q-微分算子的一个恒等式,并应用此恒等式导出了著名的Sears变换及Al-Salam-Carlitz正交关系等重要结论,还得到了Askey-Roy积分的一个拓广  相似文献   

15.
韦旦 《数学杂志》1999,19(1):117-120
本文给出了Hilbert变换在Banach空间值Hardy空间HB^1(R)上的有界性。  相似文献   

16.
本文根据宏观经济行为和微观经济行为的辩证关系,设计了一类数学模型,并利用该模型研究了国民经济按比例最优增长及其实现问题.基于模型的分析表明.只要政府调控合适,国民经济就能够按比例最优增长.  相似文献   

17.
In this paper, the balanced economic growth path was considered in a new growth model with endogenous technical progress. It is not only obtained the optimal allocation about capital and labor between a goods-producing sector and a R&D Sector, but also the optimal value of saving rates. By discussing the effect of parameters, it are also got the following results: When the rate of time preference (discount factor) rising, the fractions of Capital and labor in the goods-producing sector will increase , the fractions in R&D sector and the saving rates will decrease; When the population grows rapidly, the result will be contrary.  相似文献   

18.
本文讨论了含公共开支的经济增长模型 ,避免了对生产函数的不恰当的假设 ,生产函数的形式是很一般的 ,因此经济系统是复杂的 ,但通过精巧的数学方法 ,得到确定的均衡点 ,并且给出解为正的充分条件。最后 ,分析了系统的动态性质 ,给出了经济沿稳定流形收敛于均衡点的条件  相似文献   

19.
一个东部和中西部协调发展的经济模型   总被引:1,自引:0,他引:1  
本文对关于两区域经济发展的Raham-Intriligator模型进行了适合中国国情的修改,得出Raham-Intriligator模型不同的结论:对于两地区经济发展不平衡的发展中国家使区域经济协调发展是可行的.  相似文献   

20.
本文讨论了含公共开支的经济增长模型,避免了对生产函数的不恰当的假设,生产函数的形式是很一般的,因此经济系统是复杂的,但通过精巧的数学方法,得到确定的均衡点,并且给出解为正的充分条件.最后,分析了系统的动态性质,给出了经济沿稳定流形收敛于均衡点的条件.  相似文献   

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