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国家自然科学基金(11171260): 作品数：12被引量：20H指数：3; 导出分析报告; 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中南财经政法大学更多>>; 相关期刊：《Acta Mathematica Scientia》《重庆师范大学学报（自然科学版）》《Wuhan University Journal of Natural Sciences》《乐山师范学院学报》更多>>; 相关主题：HHILBERT边值问题函数正则函数FUNCTION更多>>; 相关领域：理学更多>>

正实轴上的Riemann边值问题被引量：7: 《中国科学：数学》2017年第8期887-918,共32页王莹段萍杜金元; 国家自然科学基金(批准号:11171260和11326087);教育部博士点专项基金(批准号:20100141110054);中央高校基本科研业务费专项基金(批准号:31541411204)资助项目; 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...; 关键词：主部阶 CAUCHY型积分 RIEMANN边值问题矩阵值函数

正则函数的一类Hilbert边值问题被引量：1: 《乐山师范学院学报》2015年第4期10-12,46,共4页司中伟梁丽娜张之鹤; 四川省教育厅资助科研项目(14ZB0253);乐山师范学院科研项目(Z1265);国家自然科学基金资助项目(11171260); 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。; 关键词：正则函数 Hμ函数 HILBERT边值问题

THE GAUSS–GREEN THEOREM IN CLIFFORD ANALYSIS AND ITS APPLICATIONS: 《Acta Mathematica Scientia》2015年第1期235-254,共20页罗纬宇杜金元; supported by NNSF of China(11171260);RFDP of Higher Education of China(20100141110054); 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 me...; 关键词：Gauss Green theorem Cauchy＇s theorem Cauchy-Pompeiu formula Clifford analysis Geometric measure theory

RIEMANN-HILBERT CHARACTERIZATION FOR MAIN BESSEL POLYNOMIALS WITH VARYING LARGE NEGATIVE PARAMETERS被引量：2: 《Acta Mathematica Scientia》2014年第2期557-567,共11页段萍杜金元; supported by NNSF of China(#11171260);RFDP of Higher Education of China(#20100141110054); 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 prob...; 关键词：Generalized Bessel polynomials Bessel polynomials with varying large neg-ative parameters ORTHOGONALITY Riemann-Hilbert boundary value problem Riemann-Hilbert characterization

Stability of a Kind of Welding Problem under Different Materials with Same Shearing Modulus: 《Wuhan University Journal of Natural Sciences》2014年第1期45-50,共6页LIN Juan; Supported by the National Natural Science Foundation of China(11171260);Science and Technology Foundation of Education Department of Fujian Province(JA11341); 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 Sob...; 关键词：welding problem complex stress functions Cauchytype integral Riemann boundary value problems perturbation

STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY被引量：3: 《Acta Mathematica Scientia》2014年第1期125-140,共16页林娟杜金元; supported by NNSF of China(11171260);RFDP of Higher Education of China(20100141110054);NSF of Fujian Province;China(2008J0187);STF of Education Department of Fujian Province;China(JA11341); 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 funda...; 关键词：elastic domain Cauchy type integral DISPLACEMENT PERTURBATION

h-正则函数的一类Hilbert边值问题被引量：2: 《重庆师范大学学报（自然科学版）》2014年第1期76-79,共4页司中伟; 乐山师范学院科研项目(No.Z1265);国家自然科学基金(No.11171260);教育部博士点专项基金(No.20100141110054); 设R0,n是由n维实线性空间的基e1,e2,…,en生成的实Clifford代数,其中e2i=-1,ei ej+ej ei=-2δij,δij为通常的Kroneckerδ函数,i,j=1,2,…,n。e0是单位元。基于实Clifford代数R0,n可以分解为R0,n=Re0+(R0,n-Re0)形式的唯一性,通过附加2...; 关键词：h-正则函数 H^μ函数 HILBERT边值问题

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: 《数学杂志》2013年第6期969-976,共8页林娟段萍谢碧华; Supported by National Natural Science Foundation of China(11171260);Science and Technology Foundation of Education Department of Fujian Province,China(JA11341); 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...; 关键词：弹性体复应力函数柯西型积分跳跃问题摄动

Polyharmonic Boundary Value Problem in a Sector: 《Wuhan University Journal of Natural Sciences》2013年第4期323-326,共4页WANG Ying HE Qi HE Fuli; Supported by the National Natural Science Foundation of China(11171260);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry;the Research Fund for Revitalization Project of Zhongnan University of Economics and Law; 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 recur...; 关键词：polyharmonic Neumann function Neumann problem CONVOLUTION

THE HILBERT BOUNDARY VALUE PROBLEM FOR GENERALIZED ANALYTIC FUNCTIONS IN CLIFFORD ANALYSIS被引量：2: 《Acta Mathematica Scientia》2013年第2期393-403,共11页司中伟杜金元; supported by NNSF of China (11171260);RFDP of Higher Education of China (20100141110054);Scientific Research Fund of Leshan Normal University (Z1265); Let R0,n be the real Clifford algebra generated by e1, e2,... , en satisfying eiej＋ejei=-2δij,i,j=1,2…,ne0 is the unit element.Let Ω be an open set. A function f is called left generalized analytic in ft if f sati...; 关键词：Generalized analytic function Hilbert boundary value problem H^u function

国家自然科学基金(11171260)