CYCLIC AND NEGACYCLIC CODES OF LENGTH 2p^s OVER Fp^m ＋ uFp^m

In this article, we focus on cyclic and negacyclic codes of length 2p^s over the ring R = Fp^m ＋ uFp^m, where p is an odd prime. On the basis of the works of Dinh （in J.Algebra 324,940-950,2010）, we use the Chinese Remainder Theorem to establish the algebraic structure of cyclic and negacyclic codes of length 2p^s over the ring Fp^m ＋ uFp^m in terms of polynomial generators. Furthermore, we obtain the number of codewords in each of those cyclic and negacyclic codes.     

FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE

By studying the spectral properties of the underlying operator corresponding to the M/G/1 queueing model with optional second service we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. We also show that the time-dependent queueing size at the departure point converges to the corresponding steady-state queueing size at the departure point.     

(λ,μ)模糊软环(理想)与模糊软同构定理

在软集和模糊集的基础上,引入了(λ,μ)模糊软环和(λ,μ)模糊软理想的概念,研究了它们关于软集交、并运算的相关性质,探讨了它们在模糊软同态下的像。另外,还提出了(λ,μ)模糊商软环的定义,进一步建立了(λ,μ)模糊软环上的第一、第二模糊软同构定理。     

C_Z-偏序集

我们将强Z-连续偏序集推广到了CZ-偏序集,并讨论了CZ-偏序集和强Z-连续偏序集之间的关系。同时我们定义了CZ-偏序集上的CZ-连续映射,得到CZ-偏序集在该映射下的像集仍是CZ-偏序集。最后,我们讨论了CZ-偏序集上的基及其相关性质。     

关于渐近非扩张映射的Cesàro意义下的修正Ishikawa迭代(英文)

设E是一致凸Banach空间,且具有一致Gteaux可微范数,C是E的一个非空闭凸子集,T是渐近非扩张映射.对于任意x∈C,本文引入Cesàro意义上的修正Ishikawa迭代:x0=x∈C,yn=γnun+δnxn+(1-γn-δ)n+11∑j=0nTjxn,xn+1=μnvn+αnγf(xn)+βnxn+[(1-μn-βn)I-αnA]n+11∑j=0nTjyn,n≥0在适当的条件下证明此迭代序列的强(弱)收敛性.     

关于新的混合型迭代的收敛定理（英文）

本文引入一个新的混合型三步迭代序列,在一致凸Banach空间中研究三个渐近非扩张自映射和三个渐近非扩张非自映射关于上述迭代列的强收敛定理.     

LIMIT CYCLES BIFURCATION FOR A CLASS OF DEGENERATE SINGULARITY

In this paper, bifurcation of limit cycles for the degenerate equilibrium to a three- dimensional system is investigated. Firstly, we use formal series to calculate the focal values at the high-order critical point on center manifold. Then an example is studied, and the existence of 3 limit cycles on the center manifold is proved. In terms of high- order singularities in high-dimensional systems, our results are new.     

ON LIMIT CYCLES FOR A CLASS OF DIFFERENTIAL SYSTEMS WITH POSITIVE DEFINITE POLYNOMIAL

In this paper, the nonexistence, existence and the number of limit cycles for a class of differential systems with positive definite polynomial are considered, and the results obtained generalize and supplement those of [1].     

带参数共轭梯度法簇的全局收敛性

共轭梯度法是最优化中最常用的方法之一,广泛地应用于求解大规模优化问题,其中参数β_k的不同选取可以构成不同的共轭梯度法.给出了一类含有三个参数的共轭梯度算法,这种算法能够在给定的条件下证明选定的β_k在每一步都能产生一个下降方向,同时在强Wolfe线搜索下,这种算法具有全局收敛性.     

Existence of periodic orbits and shift-invariant curve sequences near multiple homoclinics简

In this paper, the complicated dynamics is studied near a double homoclinic loops with bellows configuration for general systems. For the non-twisted multiple homoclinics, the existence of periodic orbit with the specified route and the existence of shift-invariant curve sequences defined on the cross sections of multiple homoclinics corresponding to any specified one-side infinite sequences are given. In addition, the existence regions are also located.