关于Berestycki一些结果的注记

本文讨论如下 Ｓｔｕｒｍ－Ｌｉｏｕｖｉｌｌｅ问题的非平凡解的全局结构：其中ｆ： Ｒ→Ｒ连续,且满足一些附加条件．所得结果推广了 Ｂｅｒｅｓｔｙｃｋｉ的一些结果．     

关于一些级数取整值问题的注记

利用Pell方程的理论,讨论了与广义Lucas数有关的一些级数的取整值问题.在一定条件下,解决了一些级数的取整值问题.     

关于随机过程循序可测性的一个注记

本文引进了可测空间的自然乘积空间和随机过程的自然提升过程等概念 .在此基础上 ,证明了一个随机过程循序可测的充分必要条件是其自然提升过程是适应过程 .此外 ,我们还得到其他一些有趣的结果 .     

A Note on Certain Block Spaces on the Unit Sphere

In this note, we clarify a relation between block spaces and the Hardy space. We obtain Bq^0.v belong to H^1（S^n-1）＋L（ln＋L）^1＋v（s^n-1）,v〉-1,q〉1,Furthermore,if v≥ 0, q 〉 1. we verify that block spaces Rq^0.v（S^n-1）are proper subspaces of H1 （S^n- 1）,     

A Note on the Graded K-Theory of Certain Graded Rings

Following ideas of Quillen we prove that the graded K-theory of a ? ⁿ -graded ring with support contained in a pointed cone is entirely determined by the K-theory of the subring of degree 0 elements.     

A Note on Certain 2-Groups with Hadamard Difference Sets

Nontrivial difference sets in 2-groups are part of the family of Hadamarddifference sets. An abelian group of order 2^2d+2 has a difference setif and only if the exponent of the group is less than or equal to2 ^d+2. We provide an exponent bound for a more general type of 2-groupwhich has a Hadamard difference set. A recent construction due to Davis and Iiamsshows that we can attain this bound in at least half of the cases.     

Note on Derivations of Certain non-CSL Algebras

Functional Analysis and Its Applications - A subspace lattice $${(0), M, N, H}$$ of a Hilbert space $$H$$ is called a generalized generic lattice if $$Mcap N =M^perpcap N^perp =(0)$$ and...     

A Note on the Uniqueness of Certain Types of Differential-Difference Polynomials

Ukrainian Mathematical Journal - We study the problems of uniqueness of some types of differential-difference polynomials sharing a small function. We not only solve an open problem formulated in...     

A Note on Weighted Sums of Associated Random Variables

We prove the convergence of weighted sums of associated random variables normalized by \({n^{1/p}, p \in}\) (1, 2), assuming the existence of moments somewhat larger than p, depending on the behaviour of the weights, improving on previous results by getting closer to the moment assumption used for the case of constant weights. Besides moment conditions, we assume a convenient behaviour either on truncated covariances or on joint tail probabilities. Our results extend analogous characterizations known for sums of independent or negatively dependent random variables.     

关于一般马氏过程遍历性的一个注记

本文讨论了一般保守右过程的遍达性和不可约性,作为我们证明了一类Ｄｉｒｉｃｈｌｅｔ过程的不可约性及遍历性。     

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本文在{ξi}为强混合样本,{ani}是实三角阵列下,得到了一个新的关于线性和n∑i=1aniξi的中心极限定理.并利用该中心极限定理,进一步建立了线性过程部分和的中心极限定理.     

由拟从属关系定义的P-叶亚纯函数类的一些性质

本文利用拟从属关系引入了某些$P$-叶亚纯解析函数新子类, 获得了相应函数类的积分表达式和系数估计. 特别地得到了Fekete-Szeg\"{o}不等式的精确结果.     

A Note on q‐Integrals and Certain Generating Functions

In this paper, generalizations of certain q‐integrals are given by the method of q‐difference equation, which involves the Andrews–Askey integral. In addition, some mixed generating functions for generalized Rogers–Szegö polynomials are obtained by the technique of q‐integral. More over, generating functions for generalized Andrews–Askey polynomials are achieved by q‐integral.     

关于一类二阶中立型偏微分方程的振动性的注记

获得了一类二阶中立型偏微分方程的振动性的充分性条件,所得结果推广了相应结论.     

A Note on the Associated Primes of Local Cohomology Modules

In this note we give a simple proof of the following result: Let R be a commutative Noetherian ring,  an ideal of R and M a finite R-module, if H_ ⁱ (M) has finite support for all i < n, then Ass(H_ ⁿ (M)) is finite.     

A Note on Groups Associated with 4-Arc-Transitive Cubic Graphs

A cubic (trivalent) graph is said to be 4-arc-transitive ifits automorphism group acts transitively on the 4-arcs of (wherea 4-arc is a sequence v₀, v₁, ... v₄ of vertices of such thatv_i–1 is adjacent to v_i for 1 i 4, and v_i–1 v_i+1for 1 i < 4). In his investigations into graphs of thissort, Biggs defined a family of groups 4⁺(a^m), for m = 3,4,5...,each presented in terms of generators and relations under theadditional assumption that the vertices of a circuit of lengthm are cyclically permuted by some automorphism. In this paperit is shown that whenever m is a proper multiple of 6, the group4⁺(a^m) is infinite. The proof is obtained by constructing transitivepermutation representations of arbitrarily large degree.