共查询到18条相似文献,搜索用时 93 毫秒
1.
主要讨论了Hilbert空间中Co-半群族Th(t)指数稳定问题,证明了满足||Th(t)||≤Meσt(M,σ与h无关)的半群族Th(t)指数稳定与弱Lp-稳定是等价的,并且给出了另外的三个判定Th(t)指数稳定的等价条件. 相似文献
2.
Hilbert空间中C0-半群族指数稳定性 总被引:1,自引:1,他引:0
主要讨论了Hilbert空间中Co-半群族Th(t)指数稳定问题,明了满足||Th(t)||≤Me^σt(M,σ与h无关)的半群族Th(t)指数稳定与弱L^p-稳定是等价的,并且给出了另外的三个判定Th(t)指数稳定的等价条件。 相似文献
3.
考虑了C1-正则半群{S(t)}t≥0和C2-正则半群{T(t)}t≥0之差Δ(t)=S(t)C1-T(t)C2在一定假定条件下的紧性. 相似文献
4.
利用算子半群理论研究了具有预防性维修策略的可修复系统,通过分析系统算子的谱分布,以及系统算子生成C0半群{T(t)}的本质谱增长阶,证明了C0半群{T(t)}是拟紧半群.同时也证明了该半群还是不可约的.进而得到了可修复可用度的指数稳定性. 相似文献
5.
(1,A)类算子半群序列的收敛性 总被引:1,自引:0,他引:1
设X为Banach空间,{T_n(t)}是X上的某一类算子半群序列.本文研究在什么条件下,存在同一类型的算子半群T(t),使得对每一个i>0,{T_n(t)}强收敛于T(t). 在本文中我们给出了Trotter[2]、Kato[4]收敛定理的一个自然推广,得到了(1,A)类算子半群序列{T_n(t)}强收敛于(1,A)类算子半群T(t)的一个充要条件,并在较弱的条件下用新的方法证明了(1,A)类算子半群序列的收敛定理. 相似文献
6.
7.
宋国柱 《数学物理学报(A辑)》1991,11(4):439-447
设X为Banach空间,T(t)为X上的(1,A)类半群,A为T(t)的无穷小母元,若对每个x∈X,映射t→T(t)x关于t>t_0可微,则称T(t)关于t>t_0可微,本文讨论了关于t>t_0可微的(1,A)类半群的若干性质,并利用可微半群母元豫解式的增长阶特征证明了关于t>t_0可微的(1,A)类半群是指数稳定的充分必要条件为sup{Reλ:λ∈σ(A)}<0. 相似文献
8.
在Banach空间X中,研究了如下半线性Caputo-分数阶中立型微分方程S-渐近w周期解的存在性其中0α1,-A是解析半群{T(t)}_(t≥0)的无穷小生成元. 相似文献
9.
This paper considers diffusion processes {X^∈(t)} on R^2, which are pertur-bations of dynamical system {X(t)} (dX(t) = b(X(t))dt) on R^2. By means of weakconvergence of probability measures, the authors characterize the limit behavior for em-pirical measures of {X^∈(t)} in a neighborhood domain of saddle point of the dynamicalsystem as the perturbations tend to zero. 相似文献
10.
具有连续参数齐次随机场的线性预测 总被引:3,自引:0,他引:3
本文研究具有连续参数齐次随机场{x(s,t)}在不对称半平面上已观察到的预测问题,且建立了{x(s,t)}的一个新的表示式。 相似文献
11.
Mediterranean Journal of Mathematics - We consider the exponential polynomials solutions of non-linear differential-difference equation $${f(z)^{n}+q(z)e^{Q(z)}f^{(k)}(z+c) = P(z)}$$ , where q(z),... 相似文献
12.
设(T(t)t〉0为Banach空间X上的局部可积半群,我们讨论(T(t)t〉0与它的多值生成元A之间的谱关系。 相似文献
13.
Based on the coincidence degree theory of Mawhin, we get a new general existence result for the following higher-order multi-point
boundary value problem at resonance
$\begin{gathered}
x^{(n)} (t) = f(t,x(t),x'(t),...,x^{(n - 1)} (t)),t \in (0,1), \hfill \\
x(0) = \sum\limits_{i = 1}^m {a_i x(\xi _i ),x'(0) = ... = x^{(n - 2)} (0) = 0,x^{(n - 1)} (1) = } \sum\limits_{j = 1}^l {\beta _j x^{(n - 1)} (\eta _j )} , \hfill \\
\end{gathered}
$\begin{gathered}
x^{(n)} (t) = f(t,x(t),x'(t),...,x^{(n - 1)} (t)),t \in (0,1), \hfill \\
x(0) = \sum\limits_{i = 1}^m {a_i x(\xi _i ),x'(0) = ... = x^{(n - 2)} (0) = 0,x^{(n - 1)} (1) = } \sum\limits_{j = 1}^l {\beta _j x^{(n - 1)} (\eta _j )} , \hfill \\
\end{gathered}
相似文献
14.
In this paper,we study precise large deviation for the non-random difference sum from j=1 to n_1(t) X_(1j)-sum from j=1 to n_2(t) X_(2j),where sum from j=1 to n_1(t) X_(1j) is the non-random sum of {X_(1j),j≥1} which is a sequence of negatively associated random variables with common distribution F_1(x),and sum from j=1 to n_2(t) X_(2j) is the non-random sum of {X_(2j),j≥1} which is a sequence of independent and identically distributed random variables,n_1(t) and n_2(t) are two positive integer functions.Under some other mild conditions,we establish the following uniformly asymptotic relation lim t→∞ sup x≥r(n_1(t))~(p+1)|(P(∑~(n_1(t)_(j=1)X_(1j)-∑~(n_2(t)_(j=1)X_(2j)-(μ_1n_1(t)-μ_2n_2(t)x))/(n_1(t)F_1(x))-1|=0. 相似文献
15.
Eva Špániková 《Czechoslovak Mathematical Journal》2000,50(4):879-887
The purpose of this paper is to obtain oscillation criteria for the differential system
16.
Shi Ping LU Wei Gao GE Zu Xiu ZHENG 《数学学报(英文版)》2005,21(5):1149-1158
In this paper, the authors consider the existence of periodic solutions for a kind of second neutral functional differential equation as follows:(x(t) - cx(t -τ)" = g(t, x(t - μ(t))) + e(t),in the critical case |c| = 1. By employing Mawhin's continuation theorem and some analysis techniques, some new results are obtained. 相似文献
17.
We study the functions {B(rn(t))}, where B is a Banach limit and {rn(t)} are Rademacher functions. 相似文献
18.
The purpose of this paper is to give characterizations for uniform exponential dichotomy of evolution families on the real
line. We consider a general class of Banach function spaces denoted
and we prove that if
with
and the pair
is admissible for an evolution family
then
is uniformly exponentially dichotomic. By an example we show that the admissibility of the pair
for an evolution family is not a sufficient condition for uniform exponential dichotomy. As applications, we deduce necessary
and sufficient conditions for uniform exponential dichotomy of evolution families in terms of the admissibility of the pairs
and
with
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