共查询到20条相似文献,搜索用时 15 毫秒
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本文研究{u(t))的渐近行为.证明了{u(t))几乎弱收敛到集∩co{u(t):t≥s}∩F(T)的唯一点.利用该结果,推得。{u(t))弱收敛到T的不动点。当且仅当对每个h≥0,当t→∞时{u(t h)-u(t)}弱收敛到零向量. 相似文献
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曹六川 《数学物理学报(B辑英文版)》2006,26(2):246-254
This article introduces the concept of commutative semigroups of almost asymptotically nonexpansive-type mappings in a Banach space X which has the Opial property and whose norm is UKK, and establishes the weak convergence theorems for almost-orbits of this class of commutative semigroups. The author improves, extends and develops some recent and earlier results. 相似文献
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HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL EQUATIONS IN MENGER PROBABILISTIC NORMED SPACES 下载免费PDF全文
We introduce the approximately quadratic functional equation in Menger probabilistic normed spaces. More precisely, we show under some suitable conditions that an approximately quadratic functional equation can be approximated by a quadratic function in above mentioned spaces. Also we consider the stability problem for approximately pexiderized functional equation in Menger probabilistic normed spaces. 相似文献
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It is shown that a class of generalized mixed exponential type integral operatos on direct theorem of approximation and inverse theorem of approximation hold in CN(I). 相似文献
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曾六川 《高等学校计算数学学报(英文版)》1999,(1)
In this paper, let K be a nonempty subset of a uniformly smooth Banach space X, and T:K→2~k be a multivalued operator of the monotone type. The iterative sequence which converges strongly to the unique fixed point of T is given. Our results are the extension and improvements of the results obtained previously by several authors including Dunn, Chidume, Deng and Ding. 相似文献
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In this paper, we obtain some new necessary and suffcient conditions for the boundedness and compactness of composition operators Cφ between Bloch type spaces in the unit ball Bn. 相似文献
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《Quaestiones Mathematicae》2013,36(2):151-173
Abstract Let X and Y be normed linear spaces. A linear operator T: D(T) ? X → Y is called an F-operator if its adjoint T′: D(T) ? Y′ → D(T)' is a φ+ -operator, i.e. has closed range and finite dimensional-kernel. Characterisations of an F_-operator T are obtained in the general case and in the case when T is closable. Unbounded strictly cosingular operators are defined and shown to belong to the class of F_ -admissible pertubations whenever Y is complete. 相似文献
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中立型时滞差分方程解的渐近性 总被引:3,自引:0,他引:3
给出了中立型时滞差分方程△(xn+pxn-k)+qnf(xn-m)=0一切非振动解趋于零(n→∞)的充分条件,证明了方程(E)一切解振动的两个新的定理。 相似文献
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二阶滞后型差分方程解的渐近性质 总被引:2,自引:0,他引:2
本文研究非线性差分方程 △~2x_n+q_nx_(n+1)=a_nφ(x_n+m)(x_n+k)+bn的解的渐近表示,设对应的齐次方程非振动,建立条件使方程的任意解可表成(z_n+y_n+z_no(1))的形式,其中z_n和y_n分别是对应齐次方程的主解和非主解。 相似文献
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Li-qun Cao 《计算数学(英文版)》2002,(5)
In this paper, we will discuss the asymptotic behaviour for a class of hyperbolic -parabolic type equation with highly oscillatory coefficients arising from the strong-transient heat and mass transfer problems of composite media. A complete multiscale asymptotic expansion and its rigorous verification will be reported. 相似文献
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本文将刻划从小Bloch型空间β0p到β0q(0<p,q<∞)上加权复合算子Tψ,ψ的有界性和紧性.同时得到了Tψ,ψ是Bloch型空间βp到βq(p>1,0≤q≤1)有界算子的充要条件以及Tψ,ψ是Bloch型空间βp到βq(0≤p,q<∞)紧算子的充要条件. 相似文献
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In this paper,some test statistics of Kolmogorov type and Cramervon Mises type based on projection pursuit technique are proposed for testing the sphericity problem of a high-dimensional distribution. The limiting distributions of the test statistics are derived under the null hypothesis. The asymptotic properties of Bootstrap approximation are investigated and the tail behaviors of the statistics are studied. 相似文献
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本文讨论了Dirichlet型空间上的再生核,并对Dirichlet型空间上乘法算子,Hankel算子和小Hankel算子的基本性质进行了研究,同时也给出了这些算子的有界性,紧性和Schatten理想的初步刻画。 相似文献
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Li Huifeng Wang Jinliang 《偏微分方程(英文版)》2008,21(4):289-302
In ecological dynamic systems, the competition between species is a very universal phenomenon, which can be described by the well-known Volterra-Lotka model in a diffusion form. Noticing that the living space usually changes in a seasonal manner and the population development of the species may also undergo time-delay im- pact, a developed form of this model is investigated in this article. The main approaches employed here are the upper-lower solution method and the energy-estimate technique. The results show that whether the species may sustain survival or not depends on the relations among the birth rate, the death rate, the competition rate, the diffusivity and the time delay. For the survival case, the population evolutions of the two species may appear asymptotic periodicity with distinct upper bound and this bound depends heavily on the time delay. These results can be also checked by the intuitionistic numerical simulations. 相似文献
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本文研究了一类次线性算子T和BMO(X)函数b生成的交换子[b,T]的有界性质.利用函数分解方法,获得了[b,T]在WMK˙pα,,qλ(X)上的有界性结果. 相似文献