an:06831953
Zbl 1389.30153
Guo, Bingchan; Li, Ying; Qiao, Yuying
A nonlinear boundary value problem with a shift for generalized hypermonogenic function
ZH
Math. Pract. Theory 47, No. 8, 267-273 (2017).
00373709
2017
j
30G35 30E25
generalized hypermonogenic functions; boundary value problems
Summary: This paper discusses a nonlinear boundary value problem with a shift for generalized hypermonogenic function. Firstly we decompose the generalized hypermonogenic function into integral operators and discuss the properties of the integral operators. Then by the Plemelj formula for hypermonogenic functions and Schauder fixed point theorem, we prove the existence and uniqueness of the solution to the nonlinear boundary value problem with a shift for generalized hypermonogenic function.