[1]鄢盛勇.Clifford分析中Isotonic函数向量带位移的非线性边值问题[J].南京师范大学学报(自然科学版),2015,38(04):28.
Yan Shengyong.A Nonlinear Boundary Value Problem with Shift for IsotonicFunctional Vector in Clifford Analysis[J].Journal of Nanjing Normal University(Natural Science Edition),2015,38(04):28.
点击复制
Clifford分析中Isotonic函数向量带位移的非线性边值问题(
)
《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]
- 卷:
-
第38卷
- 期数:
-
2015年04期
- 页码:
-
28
- 栏目:
-
数学
- 出版日期:
-
2015-12-30
文章信息/Info
- Title:
-
A Nonlinear Boundary Value Problem with Shift for IsotonicFunctional Vector in Clifford Analysis
- 作者:
-
鄢盛勇
-
成都师范学院数学系,四川 成都 611130
- Author(s):
-
Yan Shengyong
-
Department of Mathematics,Chengdu Normal University,Chengdu 611130,China
-
- 关键词:
-
Clifford分析; Isotonic函数向量; 非线性边值问题
- Keywords:
-
Clifford analysis; Isotonic functional vector; nonlinear boundary value problem
- 分类号:
-
O175.5
- 文献标志码:
-
A
- 摘要:
-
讨论了Isotonic函数向量的一类带位移非线性边值问题,利用积分方程方法和Schauder不动点原理证明了问题解的存在性,并给出了解的积分表达式.
- Abstract:
-
This paper discusses a class of nonlinear boundary value problem with haseman shift for isotonic functional vector in Clifford analysis.By the integral equation method and Schauder fixed-point theorem,we prove the existence of the solution for the problem,and give the integral representation of solution.
参考文献/References:
[1]BRACKX F,DELANGHE R,SOMMEN F. Clifford analysis[M]. Pitman,London:Res Notes Math,1982:76.
[2]HUANG S. Nonlinear boundary value problem for biregular functions in Clifford analysis[J]. Science in China Ser A,1996,39(3):1152-1164.
[3]QIAO Y Y. A boundary value problem for hypermonogenic functions in Clifford analysis[J]. Science in China Ser A Mathematics,2005,48:324-332.
[4]鄢盛勇. 四元数分析中正则函数向量的非线性边值问题[J]. 华南师范大学学报(自然科学版),2012,44(4):24-27.
[5]SOMMEN F,PE[N]A-PE[N]A D. Martinelli-Bochner formula using Clifford analysis[J]. Arch Math,2007,88:358-363.
[6]ABREU-BLAYA R,BORY-REYES J. A Martinelli-Bochner formula on fractal domains[J]. Arch Math,2009,92:335-343.
[7]ABREU-BLAYA R,BORY-REYES J,PE[N]A-PE[N]A D,et al. A holomorphic extension theorems using Clifford analysis[J]. Complex Anal Oper Theory,2011,5:113-130.
[8]库敏,杜金元,王道顺. Clifford分析中Isotonic柯西型积分的边界性质[J]. 数学学报,2011,54(2):177-186.
[9]李婧. 复Clifford分析中Isotonic函数的性质及其边值问题[D]. 石家庄:河北师范大学,2010.
[10]鄢盛勇. Clifford分析中Isotonic函数带位移的非线性边值问题[J]. 重庆师范大学学报(自然科学版),2013,30(2):34-38.
备注/Memo
- 备注/Memo:
-
收稿日期:2014-09-12.
基金项目:教育部科学技术研究重点项目(212147)、四川省教育厅科研基金项目(10ZC127).
通讯联系人:鄢盛勇,副教授,研究方向:函数论与偏微分方程的边值问题. E-mail:459138166@qq.com
更新日期/Last Update:
2015-12-30