排序方式: 共有619条查询结果,搜索用时 46 毫秒
1.
胡迪鹤 《数学物理学报(B辑英文版)》2004,24(3):499-506
The concepts of branching chain in random environmnet and canonical branch-ing chain in random environment are introduced. Moreover the existence of these chains is proved. Finally the exact formulas of mathematical expectation and variance of branching chain in random environment are also given. 相似文献
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具P-Laplacian算子型周期边值问题解的存在性 总被引:8,自引:0,他引:8
本文利用拓扑度理论和一些分析技巧讨论了具p—Laplacian算子型周期边值问题(φp(χ’))’+d/dt gradF(χ)+gradG(χ)=e(t),χ(0)=χ(T),χ’(0)=χ’(T)解的存在性,在对阻尼项d/dtgradF(χ)没有任何限制的前提下,给出了解存在的充分条件. 相似文献
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Existence of at Least Two Periodic Solutions of a Ratio-dependent Predator-prey Model with Exploited Term 总被引:8,自引:0,他引:8
De-sheng Tian Xian-wu Zeng 《应用数学学报(英文版)》2005,21(3):489-494
In this paper, we study a non-autonomous ratio-dependent predator-prey model with exploited term. By means of the coincidence degree theory, we establish a sufficient condition for the existence of at least two positive periodic solutions of this model. 相似文献
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实Clifford分析中超正则函数列和函数空间的性质 总被引:2,自引:0,他引:2
定义了实Clifford分析中超正则函数列的一致有界、内闭一致有界及内闭一致收敛等概念,并讨论了超正则函数列及超正则函数空间的几条性质. 相似文献
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一种修正的HS共轭梯度法及全局收敛性 总被引:2,自引:0,他引:2
1 引言
考虑无约束极小化问题:
min x∈Rn f(x)
其中f(x)连续可微,其梯度函数用g(x)表示.共轭梯度法求解(1)的常用迭代格式为:
xk+1=xk+αkdk,
dk={-gk,k=1,-gk+βkdk-1,k≥2.(3) 相似文献
8.
In this paper,we present a new nonlinear modified spectral CD conjugate gradient method for solving large scale unconstrained optimization problems.The direction generated by the method is a descent direction for the objective function,and this property depends neither on the line search rule,nor on the convexity of the objective function.Moreover,the modified method reduces to the standard CD method if line search is exact.Under some mild conditions,we prove that the modified method with line search is globally convergent even if the objective function is nonconvex.Preliminary numerical results show that the proposed method is very promising. 相似文献
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从p—m链到随机环境中的马氏链 总被引:1,自引:0,他引:1
胡迪鹤 《数学年刊A辑(中文版)》2004,(1)
第一节引进了p一m链的概念,并用之构造了与它相应的随机环境中的马氏链和绕积马氏链、第二节引进了一系列与随机环境中的马氏链相关的概率特性函数,并得到了这些函数之间的一系列关系.这些结果是经典马氏链的相应结果的一般化,它们在随机环境中的马氏链的极限理论的研究中是很有用的。 相似文献
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Multifractal Decomposition of Statistically Self-Similar Sets 总被引:1,自引:0,他引:1
Let K be a statistically self-similar set defined by Graf. In this paper, we construct a random measure ρ which is supported by
K and study the multifractal decomposition for K with ρ. Under such a decomposition, we obtain the expression of the spectrum function ƒ(α).
Received July 18, 1997, Accepted October 13, 2000 相似文献