数学季刊

杭伟涛, 王超, 李奇, 杨潇

2018, 33(2): 111-121. doi:10.13371/j.cnki.chin.q.j.m.2018.02.001

摘要 ( 78 )

PDF (403KB) ( 177 )

相关文章 | 计量指标

In this paper, by using the topological degree method and some limiting arguments, the existence of admissible periodic bouncing solutions for a class of non-conservative semi-linear impact equations is proved.

逐步Ⅰ型混合截尾竞争失效模型的贝叶斯分析

张春芳, 师义民, 吴敏

2018, 33(2): 122-131. doi:10.13371/j.cnki.chin.q.j.m.2018.02.002

摘要 ( 124 )

PDF (444KB) ( 153 )

相关文章 | 计量指标

In this paper, we construct a Bayesian framework combining Type-Ⅰ progressively hybrid censoring scheme and competing risks which are independently distributed as exponentiated Weibull distribution with one scale parameter and two shape parameters. Since there exist unknown hyper-parameters in prior density functions of shape parameters, we consider the hierarchical priors to obtain the individual marginal posterior density functions,Bayesian estimates and highest posterior density credible intervals. As explicit expressions of estimates cannot be obtained, the componentwise updating algorithm of Metropolis-Hastings method is employed to compute the numerical results. Finally, it is concluded that Bayesian estimates have a good performance.

利用微分算子定义的某类p-叶解析函数的一些基本性质

张海燕, 汤获, 李书海, 马丽娜

2018, 33(2): 132-139. doi:10.13371/j.cnki.chin.q.j.m.2018.02.003

摘要 ( 110 )

PDF (341KB) ( 107 )

相关文章 | 计量指标

In this paper, we introduce new subclasses of p-valent analytic functions defined by using differential operator in the open unit disc. We study coefficient inequality, distortion theorem, radius of close to-convexity, starlikeness and convexity, extreme points and integral operator for functions in these new subclasses.

关于路与圈的匹配多项式的一个注记

张海良

2018, 33(2): 140-143. doi:10.13371/j.cnki.chin.q.j.m.2018.02.004

摘要 ( 128 )

PDF (233KB) ( 237 )

相关文章 | 计量指标

The spectra of matching polynomials which are useful in the computations of resonance energy and grand canonical partition functions of molecular’s. It also present other properties for certain classes of graphs and lattices. In [1] Balasubramanian calculates several matching polynomials and matching roots of several molecular graphs. He found that the matching polynomial of C₆, C₁₀, C₁₄, C₁₈ and C₂₂ are divided by x²-2. In this note,we prove that x²-2 divides MC_4k+2（x）, k = 1, 2,..., n and obtain some other properties of matching polynomials of paths and cycles.

R₀-代数的（∈, ∈ ∨ q_k)-模糊滤子格

刘春辉

2018, 33(2): 144-155. doi:10.13371/j.cnki.chin.q.j.m.2018.02.005

摘要 ( 104 )

PDF (452KB) ( 206 )

相关文章 | 计量指标

The purpose of this paper is to further study the（∈, ∈ ∨ q_k)-fuzzy filter theory in R0-algebras. Some new properties of （∈, ∈ ∨ q_k)-fuzzy filters are given. Representation theorem of（∈, ∈ ∨ q_k)-fuzzy filter which is generated by a fuzzy set is established. It is proved that the set consisting of all（∈, ∈ ∨ q_k)-fuzzy filters on a given R0-algebra, under the partial order, forms a complete distributive lattice.

L_p混合截面体的一些几何不等式

刘丽娟 , 汪卫

2018, 33(2): 156-165. doi:10.13371/j.cnki.chin.q.j.m.2018.02.006

摘要 ( 94 )

PDF (389KB) ( 176 )

相关文章 | 计量指标

Haberl and Ludwig defined the notions of L_p intersection bodies. In this paper,we introduce the L_p mixed intersection bodies, and establish some geometric inequalities for L_p mixed intersection bodies. Furthermore, the Busemann-Petty type problem for L_p mixed intersection bodies are shown.

一类无穷时滞积分方程概周期解的存在唯一性

徐建中, 张豫川, 周宗福

2018, 33(2): 166-171. doi:10.13371/j.cnki.chin.q.j.m.2018.02.007

摘要 ( 57 )

PDF (267KB) ( 142 )

相关文章 | 计量指标

In this paper, the existence and uniqueness of almost periodic solutions for some infinite delay integral equations are discussed. By using Krasnoselskii fixed point theorem,some new results are obtained.

m-NA随机变量部分和的若干强收敛性

汪勐航, 裴文宸, 张宇恒, 应晗璐, 王学军

2018, 33(2): 172-180. doi:10.13371/j.cnki.chin.q.j.m.2018.02.008

摘要 ( 97 )

PDF (354KB) ( 201 )

相关文章 | 计量指标

In this paper, by the three series theorem of m-negatively associated(m-NA,in short) random variables and the truncation method of random variables, we mainly investigated the strong convergence properties for partial sums of m-NA random variables.In addition, the Khintchine-Kolmogorov convergence theorem and Kolmogorov-type strong law of large numbers for m-NA random variables are also obtained. The results obtained in the paper generalize some corresponding ones for independent random variables and some dependent random variables.

一个超可积族的非线性超可积耦合及其超哈密顿结构

陶司兴

2018, 33(2): 181-193. doi:10.13371/j.cnki.chin.q.j.m.2018.02.009

摘要 ( 104 )

PDF (462KB) ( 131 )

相关文章 | 计量指标

Nonlinear super integrable couplings of a super integrable hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then its super Hamiltonian structures were established by using super trace identity, and the conserved functionals were proved to be in involution in pairs under the defined Poisson bracket. As its reduction,special cases of this nonlinear super integrable couplings were obtained.

PU(1,n;C)上子群的离散准则

杨娟, 王桦

2018, 33(2): 194-198. doi:10.13371/j.cnki.chin.q.j.m.2018.02.010

摘要 ( 103 )

PDF (267KB) ( 141 )

相关文章 | 计量指标

In this paper,the authors introduce the discreteness criterion for n-dimensional subgroups in PU(1, n; C).These generalize the well-known discreteness criterion first established by T.Jorgensen.

一个微分算子在p-叶函数类上的应用

周从会

2018, 33(2): 199-205. doi:10.13371/j.cnki.chin.q.j.m.2018.02.011

摘要 ( 87 )

PDF (312KB) ( 145 )

相关文章 | 计量指标

In this paper, we define some new subclasses of strongly close-to-star and strongly close-to-convex p-valent functions defined in the open unit disc by using a differential operator. Some inclusion results, convolution properties are studied.

关于最小化最大延迟的分批排序问题的一个动态规划算法的注解

林浩, 何程

2018, 33(2): 206-211. doi:10.13371/j.cnki.chin.q.j.m.2018.02.012

摘要 ( 124 )

PDF (260KB) ( 147 )

相关文章 | 计量指标

In parallel-batching machine scheduling, all jobs in a batch start and complete at the same time, and the processing time of the batch is the maximum processing time of any job in it. For the unbounded parallel-batching machine scheduling problem of minimizing the maximum lateness, denoted 1|p-batch|L_max, a dynamic programming algorithm with time complexity O（n²） is well known in the literature.Later, this algorithm is improved to be an O（n log n） algorithm. In this note, we present another O（n log n） algorithm with simplifications on data structure and implementation details.

复值度量空间上的B-隐式压缩条件和唯一(公共)不动点

朴勇杰

2018, 33(2): 212-220. doi:10.13371/j.cnki.chin.q.j.m.2018.02.013

摘要 ( 100 )

PDF (356KB) ( 142 )

相关文章 | 计量指标

A class B of complex functions is introduced and several existence theorems of unique(common) fixed points for mappings satisfying a B-implicit contraction are presented.Moreover, the existence results of common fixed points for two mappings on a nonempty set with two complex valued metrics are provided. Our outcomes generalize and improve some known results, especially, for instance, Banach contraction principle, Chatterjea-type fixed point theorem and the corresponding fixed point theorems.

当期目录