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国家自然科学基金(11171260)

作品数:12 被引量:20H指数:3
相关作者:林娟段萍王莹杜金元梁丽娜更多>>
相关机构:武汉大学乐山师范学院福建商学院更多>>
发文基金:国家自然科学基金国家教育部博士点基金中央高校基本科研业务费专项资金更多>>
相关领域:理学更多>>

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12 条 记 录,以下是 1-10
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一般周期Riemann边值问题关于跳跃曲线的稳定性被引量:1
2011年
本文研究了一般周期Riemann边值问题关于跳跃曲线的稳定性.利用解析函数边值理论和不等式分析理论,获得了一般周期Riemann边值问题的解及其关于跳跃曲线的误差估计.
林娟
关键词:开口弧段摄动稳定性
THE GAUSS–GREEN THEOREM IN CLIFFORD ANALYSIS AND ITS APPLICATIONS
2015年
In this article, we establish the Gauss Green type theorems for Clifford-valued functions in Clifford analysis. The boundary conditions in theorems obtained are very general by using the geometric measure theoretic method. The Cauchy-Pompeiu formula for Clifford-valued functions under the weak condition will be derived as their simple application. Furthermore, Cauchy formula for monogenic functions under the weak condition is derived directly from the Cauchy-Pompeiu formula.
罗纬宇杜金元
RIEMANN-HILBERT CHARACTERIZATION FOR MAIN BESSEL POLYNOMIALS WITH VARYING LARGE NEGATIVE PARAMETERS被引量:2
2014年
In this article, we establish the Bessel polynomials with varying large negative parameters and discuss their orthogonality based on the generalized Bessel polynomials. By using the Riemann-Hilbert boundary value problem on the positive real axis, we get the Riemann-Hilbert characterization of the main Bessel polynomials with varying large negative parameters.
段萍杜金元
关键词:ORTHOGONALITY
正则函数的一类Hilbert边值问题被引量:1
2015年
文章主要研究了上半平面内正则函数的一类Hilbert边值问题。首先给出了上半平面内正则函数的一类新的Hilbert边值问题的提法,然后通过把Hilbert边值问题转化为Riemann边值问题的方法,得到了上半平面内正则函数的Hilbert边值问题的唯一解。
司中伟梁丽娜张之鹤
关键词:正则函数HILBERT边值问题
RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS被引量:3
2012年
In this paper,we study the R m(m〉0) Riemann boundary value problems for regular functions,harmonic functions and bi-harmonic functions with values in a universal clifford algebra C(Vn,n).By using Plemelj formula,we get the solutions of R m(m〉0) Riemann boundary value problems for regular functions.Then transforming the Riemann boundary value problems for harmonic functions and bi-harmonic functions into the Riemann boundary value problems for regular functions,we obtain the solutions of R m(m〉0) Riemann boundary value problems for harmonic functions and bi-harmonic functions.
姜乐杜金元
Polyharmonic Boundary Value Problem in a Sector
2013年
In this article, a polyharmonic Neumann function in a sector with angle π n (n N) is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recursive expressions for the polyharmonic Neumann function, obtaining the solution and the condition of solvability for the related polyharmonic Neumann problem.
WANG YingHE QiHE Fuli
关键词:CONVOLUTION
Stability of a Kind of Welding Problem under Different Materials with Same Shearing Modulus
2014年
This paper discusses the stability of the welding problems under different materials with same shearing modulus. Using the stability of Cauchy type integral while the smooth perturbation for the integral curve and Sobolev perturbation for the kernel density happening, the stability of complex stress functions are studied and errors of stress and displacement are given.
LIN Juan
一类带单位圆洞的无限平面焊接问题的稳定性(英文)被引量:1
2013年
本文研究了在带一个单位圆洞的无限平面中焊入相同材料圆盘的焊接问题的稳定性,借助于复应力函数,把焊接问题转化为黎曼边值问题.利用解析函数边值理论和柯西型积分在积分曲线发生光滑摄动且核密度发生索波列夫型摄动下的稳定性,获得了复应力函数的表达式及其相应的误差估计,从而获得了应力和位移的误差估计.
林娟段萍谢碧华
关键词:弹性体柯西型积分摄动
正实轴上的Riemann边值问题被引量:7
2017年
本文研究正实轴上的Riemann边值问题.首先,引入沿正实轴剖开的复平面上的全纯函数在无穷远点和原点处主部及阶的概念,相比于经典意义下,这个概念更为广泛.其次,讨论了正实轴上Cauchy型积分和Cauchy主值积分在无穷远点和原点处的性质.基于此,以正实轴为跳跃曲线的分区全纯函数的Riemann边值问题得以详细解决.这个过程有别于经典意义下有限曲线上的Riemann边值问题,且比整个实轴上的Riemann边值问题更为复杂.最后,作为例子讨论了一类矩阵值函数的边值问题,该问题对于正实轴上正交多项式的渐近分析有重要意义.
王莹段萍杜金元
关键词:CAUCHY型积分RIEMANN边值问题矩阵值函数
STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY被引量:3
2014年
In this article, by using the stability of Cauchy type integral when the smooth perturbation for integral curve and the Sobolev type perturbation for kernel density happen, we discuss the stability of the second fundamental problem in plane elasticity when the smooth perturbation for the boundary of the elastic domain (unit disk) and the Sobolev type perturbation for the displacement happen. And the error estimate of the displacement between the second fundamental problem and its perturbed problem is obtained.
林娟杜金元
关键词:DISPLACEMENTPERTURBATION
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