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1.
广义生-灭最小Q过程的常返、遍历性 总被引:1,自引:0,他引:1
研究具有突变率的全稳定广义生-灭最小Q过程的常返性和遍历性,在Q-矩阵是正则、不可约的条件下,利用Q过程的构造理论,获得广义生-灭最小Q过程是常返、遍历的易于检验的充分必要条件,并给出不变测度. 相似文献
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研究含瞬时态、具有突变率的广义生-灭拟q-矩阵,在Q_(E_0)非零流出下,给出易于验证的Q过程存在性准则,并构造出全部Q过程和全部诚实Q过程,证明了不需附加任何条件,所有诚实Q过程都是遍历的,并求出其遍历测度以及给出诚实Q过程可配称的充要条件。最后给出两个例子以说明本文的结果易于验证。 相似文献
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研究含瞬时态、具有突变率的广义生-灭拟q-矩阵,给出易于验证的Q过程存在性准则,并构造出全部Q过程和全部诚实Q过程,证明了不需附加任何条件,所有诚实Q过程都是常返的,给出诚实Q过程是遍历的充要条件,并求出其遍历测度,以及证明了不存在可配称Q过程.最后给出两个例子以说明我们的结果易于验证. 相似文献
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设■其中0≤b_1<∞,0≤q_1<∞,i≥1。本文分别给出了Q为Q-矩阵及诚实Q-矩阵的充要条件,并证明了,如果Q是Q-矩阵,则存在无穷多个诚实Q-过程,对于含有限多个瞬时态的对角形Q-矩阵,也得到类似结果。本文所构造的Q-过程可以用其拉氏变换明显表达出来。 相似文献
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当有瞬时态存在时,Q 过程的存在问题十分困难,至今结果尚不多。本文考虑单瞬时态。对瞬时态不可和的情况,本文给出了 B 型单瞬时态 Q 过程的存在性准则及不中断 B 型单瞬时态 Q 过程的存在准则。从而对不可和单瞬时 Q 矩阵的特征给出了进一步的刻划。 相似文献
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本文应用Foster-Lyapunov不等式和耦合方法,研究了一类带马尔可夫切换的Q过程的指数遍历性和强遍历性; 同时,也构造了一些关于这类带马尔可夫切换的Q过程的耦合,并证明某些耦合是成功的. 相似文献
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ON THE JOINT SPECTRUM FOR N-TUPLE OF HYPONORMAL OPERATORS 总被引:1,自引:0,他引:1
Let A=(A_1,…,A,)be an n-tuple of double commuting hyponormal operators.It is-proved that:1.The joint spectrum of A has a Cartesian decomposition:Re[Sp(A)]=S_p(ReA),Im[Sp(A)]=Sp(ImA);2.The.joint resolvent of A satisfies the growth condition:‖()‖=1/(dist(z,Sp(A)));3.If 0σ(A_i),i=1,2,…,n,then‖A‖=γ_(sp)(A). 相似文献
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Chen Yunmei 《数学年刊B辑(英文版)》1987,8(4):498-522
This paper deals with the following IBV problem of nonlinear parabolic equation:
$$\[\left\{ {\begin{array}{*{20}{c}}
{{u_t} = \Delta u + F(u,{D_x}u,D_x^2u),(t,x) \in {B^ + } \times \Omega ,}\{u(0,x) = \varphi (x),x \in \Omega }\{u{|_{\partial \Omega }} = 0}
\end{array}} \right.\]$$
where $\[\Omega \]$ is the exterior domain of a compact set in $\[{R^n}\]$ with smooth boundary and F satisfies $\[\left| {F(\lambda )} \right| = o({\left| \lambda \right|^2})\]$, near $\[\lambda = 0\]$. It is proved that when $\[n \ge 3\]$, under the suitable smoothness and compatibility conditions, the above problem has a unique global smooth solution for small initial data. Moreover, It is also proved that the solution has the decay property $\[{\left\| {u(t)} \right\|_{{L^\infty }(\Omega )}} = o({t^{ - \frac{n}{2}}})\]$, as $\[t \to + \infty \]$. 相似文献
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Li Yangrong 《数学年刊B辑(英文版)》1998,19(3):349-358
§1.IntroductionRecentlythetheoryofCsemigroupshasextensivelydevolopoedbymanyauthors(see[2-8,14]),butanaturalandimportantquest... 相似文献
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91.IntroductionTheso-calledWestwaterprocessisthecoordinateprocessunderthepolymermeasureu(g)in3-dimensionsconstructedbyWestwater(see[7,8]),andthepolymermeasurev(g)onCo([O,1]-R')isformallydefinedbywhereC,isthenormalization,gE[o,oo)isacouplingconstant,pistheWienermeasureonCo([o,11-R').Inarecentpaper(see[9]),weprovedthattheHausdorffdimensionofthesamplepathoftheWestwaterprocess{X,,t6[O,1]}isalsotwowithprobability1tou(g).Actually,weprovedin[9]thatgh(ImX)5C,y(g)-a.e.(1.1)m(ImX)5C,y(g)-a.e.(1.… 相似文献
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§ 1 IntroductionThe study of nonlinear dynamics is a fascinating problem which is at the very heartofthe understanding ofmany importantproblems ofthe natural sciences.Infinite dimensionaldynamical systems are very important in nonlinear dynamics.For an infinite dimensionaldynamical system,we mainly study the existence and the structure ofthe attractors.Thereare detailed discussions in [1 ] .Itis especially mentioned there thatthe attractors of gradi-ent systems are of simple structure in s… 相似文献
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Chuang-yin Dang 《计算数学(英文版)》2006,24(6):711-718
A mapping f:Z~n→R~n is said to possess the direction preserving property if fi(x)>0implies fi(y)≥0 for any integer points x and y with ‖x-y‖∞≤1.In this paper,a simplicial algorithm is developed for computing an integer zero point of a mappingwith the direction preserving property.We assume that there is an integer point x~0 withc≤x~0≤d satisfying that max_(1≤i≤n)(x_i-x_i~0)fi(x)>0 for any integer point x withf(x)≠0 on the boundary of H={x∈R~n|c-e≤x≤d e},where c and d are twofinite integer points with c≤d and e=(1,1,…1)~∈R~n.This assumption is impliedby one of two conditions for the existence of an integer zero point of a mapping with thepreserving property in van der Laan et al.(2004).Under this assumption, starting at x~0,the algorithm follows a finite simplicial path and terminates at an integer zero point ofthe mapping.This result has applications in general economic equilibrium models withindivisible commodities. 相似文献
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Zhao Junfeng 《数学年刊B辑(英文版)》1987,8(4):401-407
The main result of this paper is to show that the bidual $\[J(\eta ,{l_2})\]$ of the long James type $\[{l_2}\]$-valued Banach, space $\[J(\eta ,{l_2})\]$ can be identified with transfinite matrices of scalars
$\[{[({b_{a,i}})i \in [0,\omega )]_{a \in [0,\eta )}}\]$ with some conditions and the norm of the element x** in $\[J(\eta ,{l_2})\]$** equals $\[\mathop {\sup }\limits_{\gamma \in [0,\eta )} {\left\| {\sum\limits_{\alpha \in [0,\gamma )} {\sum\limits_{i \in [0,\omega )} {{b_{a,i}}{\phi _{a,i}}} } } \right\|_{J{{(\eta ,l)}^{**}}}}\]$. 相似文献
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Let {X
n
; n ≥ 1} be a sequence of independent and identically distributed U[0,1]-distributed random variables. Define the uniform empirical process $F_n (t) = n^{ - \tfrac{1}
{2}} \sum\nolimits_{i = 1}^n {(I_{\{ X_i \leqslant t\} } - t),0} \leqslant t \leqslant 1,\left\| {F_n } \right\| = \sup _{0 \leqslant t \leqslant 1} \left| {F_n (t)} \right|
$F_n (t) = n^{ - \tfrac{1}
{2}} \sum\nolimits_{i = 1}^n {(I_{\{ X_i \leqslant t\} } - t),0} \leqslant t \leqslant 1,\left\| {F_n } \right\| = \sup _{0 \leqslant t \leqslant 1} \left| {F_n (t)} \right|
. In this paper, the exact convergence rates of a general law of weighted infinite series of E {‖F
n
‖ − ɛg
s
(n)}+ are obtained. 相似文献