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1.
同分布的NA序列加权和的强大数律   总被引:2,自引:0,他引:2       下载免费PDF全文
讨论了同分布NA随机变量序列加权和的强大数律,所得结果推广了Z.D.Bai和P.E.Cheng及S.H.Sung的结果.  相似文献   

2.
研究了具有立方对称性及两个弛豫时间的微极热弹性介质在调和时间源中的响应.采用了Fourier变换以及数值逆变换技术.在物理域中,得到了位移、应力、微转动和温度分布的数值结果.将微极立方晶体法向位移、法向力应力、切向耦合应力和温度分布的计算结果,与微极各向同性固体的结果进行比较.绘制了指定材料的数值结果图形.还推断了某些特殊情况的结果.  相似文献   

3.
岑建苗  李金其 《数学学报》2000,43(3):195-502
本文在三角Hopf代数表示范畴上系统地研究了Lie余代数,在此范畴上 的Lie余代数与Hopf代数之间建立了重要的联系.主要给出了Lie余代数的余包络 余代数的结构.所得结果自然是关于Lie代数的对偶结果,推广了 Sweedler M. E., Gurevich D.I., Michaelis W.和 Maiid S.等人的结果.  相似文献   

4.
岑建苗  李金其 《数学学报》2000,43(3):495-502
本文在三角Hopf代数表示范畴上系统地研究了Lie余代数,在此范畴上 的Lie余代数与Hopf代数之间建立了重要的联系.主要给出了Lie余代数的余包络 余代数的结构.所得结果自然是关于Lie代数的对偶结果,推广了 Sweedler M. E., Gurevich D.I., Michaelis W.和 Maiid S.等人的结果.  相似文献   

5.
考虑有限样本集上Elman网络梯度学习法的确定性收敛性.证明了误差函数的单调递减性.给出了一个弱收敛性结果和一个强收敛结果,表明误差函数的梯度收敛于0,权值序列收敛于固定点.通过数值例子验证了理论结果的正确性.  相似文献   

6.
研究具有反馈控制的单种群对数模型.通过构造适当的Lyapunov函数.我们让得系统的正平衡点是无条件全局稳定的.所得结果补充和完善了已有的结果.  相似文献   

7.
刘易成  李志祥 《数学学报》2006,49(5):1067-107
本文获得了几个压缩型映射的不动点定理,改进了相应文献的结果.应用该定理,给出了一类时滞积分方程的正概周期解的存在性结果.推广了已有的结果.  相似文献   

8.
1981年,1985年,2000年,乔三正、蔡东汉、魏益民分别给出Drazin广义逆不同形式的表示.本文将对上述结果进行推广,给出Drazin广义逆的统一表示,使上述三个结果均成为本文主要结果的特例.在本文主要结果的基础上,利用算子谱理论,给出Drazin广义逆的一种逼近形式的表示,同时给出逼近解的估计.此结果推广了蔡东汉、魏益民的相应结果.  相似文献   

9.
文[1]指出:此方程不是普通的方程,不能用常规的代数方法来解答.该题离开计算器已无法得到结果.笔者认为此题不用计算器可以得到结果.  相似文献   

10.
方飞  王楠  刘轼波 《数学研究》2008,41(3):234-239
用变分方法得到一类非线性差分方程多重周期解的存在性.我们的结果推广了Cai,Yu和Guo[Comput.Math.Appl.,52(2006),1630-1647]的结果,并且这里给出的证明显著地简化了.  相似文献   

11.
KIRCHHOFFTYPEEQUATIONSDEPENDINGONASMALLPARAMETER¥P.D'ANCONAS.SPAGNOLO(DepartmelltofMathematics,PisaUniversity!Pisa,Italy)Abst...  相似文献   

12.
Existence results of Part I of the paper are generalized to two types of autoconvolution equations of the third kind having free terms with nonzero values at x=0 like the well-known Bernstein-Doetsch equation for the Jacobian theta zero functions. Also uniqueness results for the linear convolution equations in Part I of the paper are extended to more general function spaces. Further, a special class of integro-differential equations with autoconvolution integral and two classes of the linear singular Abel-Volterra equations are dealt with.  相似文献   

13.
In this paper we show local and global existence for a class of (hyperbolic) quasilinear equations perturbed by bounded delay operators. In the last section, the abstract results are applied to a heat conduction model (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)  相似文献   

14.
We investigate the oscillatory behavior of all solutions of a new class of first order nonlinear neutral difference equations. Several explicit oscillation criteria are established. Our main results are supported by illustrative examples.  相似文献   

15.
The solutions of the initial boundary value problems or the Navier-Stokes equations are constructed by means of a viscosity splitting scheme. Convergence results are proved.  相似文献   

16.
In this paper, a delayed model of interactions between two actors in the context of their internal optimism and pessimism is studied. Considered model is based on the model proposed earlier in the context of romantic relationships. With the use of the system of nonlinear delay differential equations, we describe the change of emotions of two actors. Delays in the inertial component and in the influence function are introduced, and their influence on the system dynamics is investigated focusing on most beneficial meetings for actors. Finally, the modified systems are compared with the nondelayed case, and results are illustrated by numerical solutions for particular investigated scenarios.  相似文献   

17.
In this paper, we establish new nonlinear integral inequalities of Gronwall-Bellman-Pachpatte type. These inequalities generalize some former famous inequalities and can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some nonlinear ordinary differential and integral equations. The purpose of this paper is to extend certain results which proved by Pachpatte in [Inequalities for Differential and Integral Equations, Academic Press, New York and London, 1998]. Some applications are also given to illustrate the usefulness of our results.  相似文献   

18.
In this paper we study controllability properties of semilinear degenerate parabolic equations. Due to degeneracy, classical null controllability results do not hold in general. Thus we investigate results of ‘regional null controllability’, showing that we can drive the solution to rest at time T on a subset of the space domain, contained in the set where the equation is nondegenerate.  相似文献   

19.
The author reviews briefly some of the recent results on the blow-up problem for the incompressible Euler equations on R^N and also presents Liouville type theorems for the incompressible and compressible fluid equations.  相似文献   

20.
In this paper we study the existence, uniqueness and propagation of regularity to infinite order partial differential evolution equations. Our approach is essentially functional and brings interesting results even when we restrict ourselves to finite order equations.  相似文献   

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