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A nonlinear boundary value problem with a shift for generalized hypermonogenic function. (Chinese. English summary) Zbl 1389.30153
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.
MSC:
30G35 Functions of hypercomplex variables and generalized variables
30E25 Boundary value problems in the complex plane
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