J4 ›› 2012, Vol. 50 ›› Issue (4): 616-620.

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Nonlinear Boundary Value Problem with Shift for k Hypermonogenic Functions in Clifford Analysis

TANG Huo 1,2, DENG Guan-tie 1, MU Lin2   

  1. 2. School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia Autonomous Region, China
  • Received:2011-09-26 Online:2012-07-01 Published:2012-09-07
  • Contact: DENG Guan-tie E-mail:denggt@bnu.edu.cn.

Abstract:

 With the help of the theory of integral equations and Schauder fixed-point theorem, nonlinear boundary value problem with shift for k hypermonogenic 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 hypermonogenic functions, shift, nonlinear boundary value problem

CLC Number: 

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