One-dimensional random field Ising model and discrete stochastic mappings

Previous results relating the one-dimensional random field Ising model to a discrete stochastic mapping are generalized to a two-valued correlated random (Markovian) field and to the case of zero temperature. The fractal dimension of the support of the invariant measure is calculated in a simple approximation and its dependence on the physical parameters is discussed.Contribution to the symposium Statistical Mechanics of Phase Transitions—Mathematical and Physical Aspects, Trebo, CSSR, September 1–6, 1986.     

A rigorous solution for the axisymmetrical buckling of simply supported cylindrical sandwich shells under axial load

In this paper,based on ref[1],the axisymmetrical buckling of simply supportedcylindrical sandwich shells under the action of uniform axial load is solved by a rigorousmethod.The classical theory of shells is used for the two face sheets and the core isconsidered as a three-dimensional elastic body.A series of transcendental equations areobtained,from which the critical loads can be calculated by numerical methods.Numericalexamples are given to compare with the solutions of sandwich shell theories.     

两类非线性波方程的近似解法

利用变分迭代原理和同伦理论分别讨论了一类Klein-Cordon方程和Boussinesq方程。在适当的条件下,较简捷地得出了这两类非线性波方程的近似解。为研究一些类型的偏微分方程提供了有效的途径。     

非线性映射在有界区域内零点数目的若干结果

本文利用连续同伦方法讨论非线性映射在有界区域内零点的存在性和零点数目,以及推广若干经典定理。     

On the Existence of Continuous Selections in Subset Spaces with Ochan-Type Topologies

We prove the existence of a continuous selection in the space (X) (the nonempty subsets of a topologic space X) equipped with the Ochan-type -topology in the case where X can be imbedded into the Tikhonov product of a countable family of left spaces (Theorem 1). We also prove the existence of a continuous selection on the exponent of a complete metric space in the Ochan-type -topology (Theorem 2).     

THEOREMS OF BARTH-LEFSCHETZ TYPE ON KAHLER MANIFOLDS WITH PARTIALLY POSITIVE CURVATURE

The author obtains the theorems of Barth-Lefschetz type on Kahler manifolds with partially positive bisectional curvature without the assumption of nonnegative bisectional curvature. Some applications of the results to holomorphic mappings are given.     

Banach空间中的广义Schauder基和广义A-proper映射的广义拓扑度

本文给出Banach空间中广义Schauder基的新概念及其几个性质定理,举出了具有广义Schauder基的不可分Banach空间实例。作为广义Schauder基的应用,还推广了A-proper映射的广义拓扑度和一些著名的不动点定理。     

Generalized R-KKM theorems in topological space and their applications

In this paper, we introduce generalized R-KKM mapping and discuss some new generalized R-KKM theorem under the nonconvexity setting of topological space. As applications, some new minimax inequalities, saddle point theorem are proved in topological space. Our theorems unified and extend many known results in recent literature.     

基于图像分割和局部亮度调整的微光图像颜色传递算法

为提高微光夜视图像质量,提出一种基于图像分割和局部亮度调整的颜色传递算法。用简单线性迭代聚类结合K均值聚类对微光图像进行分割,在YCbCr颜色空间中利用子区域与参考图像每一个像素点上亮度的一致性,将匹配参考图像的颜色分量传递到目标图像的子区域,以目标图像纹理特征中对比度的值作为系数,调整目标图像子区域的亮度值,进行颜色空间转换并显示颜色传递结果。搭建了微光图像成像系统,进行了微光图像分割及完成了微光图像的颜色传递。结果表明,改进的分割算法将图像中不同的景物分割出来,得到的彩色微光图像的峰值信噪均值达到12.048 dB,比Welsh算法平均提高2.63 dB。     

关于广义拟变分不等式与拟变分不等式

本文研究了一类抽象形式的广义拟变分不等式,并由此推出了关于广义拟变分不等式的某些结果。这些结果是文[1]之定理3,文[2,3]的定理11及文[5]的定理1的改进和推广。