C^2空间中广义解析函数的一个带位移带共轭值的非线性边值问题

A Nonlinear Boundary Value Problem With a Kind of Shift and Conjugate Value for Generalized Analytical Functions in C^2 Space

讨论C2空间中广义解析函数的一个带位移带共轭的非线性边值问题.首先讨论解的形式,然后用积分方程的理论和Schauder不动点定理证明了解的存在性.

This paper considers a nonlinear bonndary value problem with a kind of shift value and conjugate value for generalized analytical functions in C2 space, Firstly, we conside the form of the solution, then with the help of the theory of integral equations and the Schauder fixedpoint theorem, we discuss the existence of the solution to the boundary value problem.