A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis

被引：2

作者：

Bian, Xiaoli ^{[1
]}

Qiao, Yuying ^{[2
]}

机构：

[1] Tianjin Univ Technol & Educ, Sch Sci, Tianjin 300222, Peoples R China

[2] Hebei Normal Univ, Coll Math & Informat, Shijiazhuang 050016, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1155/2014/974714

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a nonlinear boundary value problem for bihypermonogenic functions in Clifford analysis. The integrals of quasi-Cauchy's type and Plemelj formula for bihypermonogenic functions are firstly reviewed briefly. The nonlinear Riemmann boundary value problem for bihypermonogenic functions is discussed and the existence of solutions is obtained, which also indicates that the linear boundary value problem has a unique solution.

引用

页数：9

共 50 条

[1] A boundary value problem for hypermonogenic functions in Clifford analysis
QIAO Yuying Hebei Normal University Shijiazhuang China
[J]. Science in China,Ser.A., 2005, Ser.A.2005(S1) (S1) - 332
[2] A boundary value problem for hypermonogenic functions in Clifford analysis
QIAO Yuying Hebei Normal University
[J]. Science China Mathematics, 2005, (S1) : 324 - 332
[3] A boundary value problem for hypermonogenic functions in Clifford analysis
Yuying Qiao
[J]. Science in China Series A: Mathematics, 2005, 48 : 324 - 332
[4] A boundary value problem for hypermonogenic functions in Clifford analysis
Qiao, YY
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (Suppl 1): : 324 - 332
[5] Nonlinear boundary value problem for biregular functions in Clifford analysis
Huang, S
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1996, 39 (11): : 1152 - 1163
[6] Dirichlet boundary value problem for monogenic functions in Clifford analysis
Doan Cong Dinh
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (09) : 1201 - 1213
[7] Riemann boundary value problem for harmonic functions in Clifford analysis
Gu Longfei
Zhang Zhongxiang
[J]. MATHEMATISCHE NACHRICHTEN, 2014, 287 (8-9) : 1001 - 1012
[8] Nonlinear boundary value problem for biregular functions in Clifford analysis
黄沙
[J]. Science China Mathematics, 1996, (11) : 1152 - 1163
[9] Nonlinear boundary value problem for biregular functions in Clifford analysis
黄沙
[J]. Science in China,Ser.A., 1996, Ser.A.1996 (11) - 1163
[10] THE HILBERT BOUNDARY VALUE PROBLEM FOR GENERALIZED ANALYTIC FUNCTIONS IN CLIFFORD ANALYSIS
司中伟
杜金元
[J]. Acta Mathematica Scientia, 2013, 33 (02) : 393 - 403

← 1 2 3 4 5 →