Multiplicity of solutions for a class of Kirchhoff type problems

In this paper we apply the （variant） fountain theorems to study the symmetric nonlinear Kirch- hoff nonlocal problems. Under the Ambrosetti-Rabinowitz＇s 4-superlinearity condition, or no Ambrosetti- Rabinowitz＇s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively.     

Montel-Type Theorems in Several Complex Variables with Continuously Moving Targets

The authors introduce a new idea related to Montel-type theorems in higher dimension and prove some Montel-type criteria for normal families of holomorphic mappings and normal holomorphic mappings of several complex variables into p^N （C） for continuously moving hyperplanes in pointwise general position. The main results are also true for continuously moving hypersurfaces in pointwise general position. Examples are given to show the sharpness of the results.     

DECOMPOSITION THEOREMS FOR Qp SPACES WITH SMALL SCALE p ON THE UNIT BALL OF Cn

This article is devoted to studying the decomposition of functions of Q p spaces,which unify Bloch space and BMOA space in the scale of p.A decomposition theorem is established for Q p spaces with small scale p,(n-1)/np≤1 by means of p-Carleson measure and the Bergman metric on the unit ball of C n.At the same time,a decomposition theorem for Q p,0 spaces is given as well.     

多目标优化ε-拟弱有效解的最优性条件

本文研究了多目标优化问题的ε-拟弱有效解.通过Hadamard(上、下)方向导数和极限次微分给出了ε-拟弱有效解存在的充分和必要条件.提出了一种ε-拟弱鞍点的概念,给出了鞍点存在的条件.最后,建立了拉格朗日对偶模型,证明了对偶定理.     

LOCAL CENTRAL LIMIT THEOREM AND BERRY-ESSEEN THEOREM FOR SOME NONUNIFORMLY HYPERBOLIC DIFFEOMORPHISMS

We prove that, for non-uniformly hyperbolic diffeomorphisms in the sense of Young, the local central limit theorem holds, and the speed in the central limit theorem is O(1/√n).     

一类拟线性奇异椭圆方程无穷多解的存在性

本文研究有界区域Ω()RN上拟线性奇异椭圆方程.利用变分法,在f满足非二次条件的情况下,运用对偶喷泉定理证明了存在λ*0使得当λ∈(0,λ*)时,该方程存在无穷多个具有负能量的弱解{uk}.推广了s=0时的相应结果.     

量子光学中的一种新变换

我们发现量子光学理论中一个新的积分变换,它不但能够反映量子光学中的Baker-Hausdorff公式的功效,而且可以实现相空间多项式和纠缠态的函数空间之间的变换.此变换可逆,且满足类Parseval定理.在相空间中结合Wigner变换和此新积分变换,可以得到相空间函数h(p,q)和其Weyl-Wigner对应算符之间的一个新的积分变换公式.     

绕积马氏链的中心极限定理

讨论了具有离散参数的绕积马氏链的中心极限定理,给出了加在过程样本函数上充分条件。得到了绕积马氏链的中心极限定理成立的充分条件.     

矩阵LU分解定理的简单证明及其数值实现

用简单的方法证明了矩阵LU分解定理,讨论了定理的推广以及定理相应的数值实现,并对《数值分析》课程教学方法改革进行了思考.     

“韩信点兵”问题新解

对"韩信点兵"问题的解法进行新解,给出了较孙子定理简便的求同余式组最小正整数解的一种递推公式解法.