广义双hypergenic函数的边值问题  

Boundary Value Problems for Generalized Bihypergenic Function

作　　者：刘月[1] 贺硕星 谢永红[1] LIU Yue;HE Shuoxing;XIE Yonghong(School of Mathematical Sciences,Hebei Normal University,Hebei Shijiazhuang 050024,China)

机构地区：[1]河北师范大学数学科学学院,河北石家庄050024

出　　处：《河北师范大学学报（自然科学版）》2023年第1期28-36,共9页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11871191);河北省研究生创新资助项目(CXZZBS2022066);河北省自然科学基金(A2019106037)。

摘　　要：讨论了实Clifford分析中广义双hypergenic函数的边值问题.首先得到其Plemelj公式,其次利用积分方程和Schauder不动点定理证明了其边值问题BVP解的存在性,最后利用积分方程和Banach压缩映射原理证明了其线性边值问题LBVP解的存在唯一性.In this paper,boundary value problems of generalized bihypergenic function in real Clifford analysis are discussed.First,the Plemelj formula is obtained,and then the existence of the solution to the boundary value problem BVP is proved by using the integral equation and Schauder fixed point theorem.Finally,the existence and uniqueness of the solution to the linear boundary value problem LBVP is proved by using the integral equation and the Banach contraction mapping principle.

关 键 词：实CLIFFORD分析 广义双hypergenic函数 边值问题 

分 类 号：O177.4[理学—数学]