J4 ›› 2011, Vol. 49 ›› Issue (03): 462-464.

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Linear Boundary Value Problem for k Regular Functions in Clifford Analysis

TANG Huo1,2, LI Shuhai1, MA Lina1   

  1. 1. College of Mathematics, Chifeng University, Chifeng 024000, Inner Mongolia Autonomous Region, China;2. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
  • Received:2010-04-06 Online:2011-05-26 Published:2011-06-15
  • Contact: LI Shuhai E-mail:lishms66@sina.com

Abstract:

With the help of  the theory of integral equation and contact mapping theorem, linear boundary value problem for k regular functions in Clifford analysis was investigated. The existence and uniqueness of the solution to the above problem were proved, and the integral representation of its solution was obtained.

Key words: Clifford analysis, k regular functions, linear boundary value problem

CLC Number: 

  • O174.5