A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis
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 funct...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/974714 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565205267120128 |
|---|---|
| author | Xiaoli Bian Yuying Qiao |
| author_facet | Xiaoli Bian Yuying Qiao |
| author_sort | Xiaoli Bian |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dd35044cfb5e47e5b8ba4b911e7ac0c7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dd35044cfb5e47e5b8ba4b911e7ac0c72025-02-03T01:09:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/974714974714A Boundary Value Problem for Bihypermonogenic Functions in Clifford AnalysisXiaoli Bian0Yuying Qiao1School of Science, Tianjin University of Technology and Education, Tianjin 300222, ChinaCollege of Mathematics and Information, Hebei Normal University, Shijiazhuang 050016, ChinaThis 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.http://dx.doi.org/10.1155/2014/974714 |
| spellingShingle | Xiaoli Bian Yuying Qiao A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis Abstract and Applied Analysis |
| title | A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis |
| title_full | A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis |
| title_fullStr | A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis |
| title_full_unstemmed | A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis |
| title_short | A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis |
| title_sort | boundary value problem for bihypermonogenic functions in clifford analysis |
| url | http://dx.doi.org/10.1155/2014/974714 |
| work_keys_str_mv | AT xiaolibian aboundaryvalueproblemforbihypermonogenicfunctionsincliffordanalysis AT yuyingqiao aboundaryvalueproblemforbihypermonogenicfunctionsincliffordanalysis AT xiaolibian boundaryvalueproblemforbihypermonogenicfunctionsincliffordanalysis AT yuyingqiao boundaryvalueproblemforbihypermonogenicfunctionsincliffordanalysis |