摘要
研究了四元数分析中λ-正则函数向量的一类带位移的边值问题。首先给出了λ-正则函数向量的积分表示,通过设计积分算子,将此边值问题转化为积分方程问题,借助积分方程理论和不动点原理证明了边值问题解的存在性,并给出了解的积分表达式。
A class of boundary value problem with a kind of shit for λ- regular function vectors in quaternion analysis is considered. The integral representation of λ- regular function vectors, and some integral operators are given. The boundary value problem is transformed into an integral equation problem. Applying integral equation method and the fixed-point theorem, the existence of solution to the problem is proved, and the integral representation of solution is obtained.
出处
《贵州师范大学学报（自然科学版）》
CAS
2013年第2期39-42,45,共5页
Journal of Guizhou Normal University：Natural Sciences
基金
教育部科学技术研究重点项目(212147)
关键词
四元数分析
λ-正则函数向量
带位移边值问题
quaternion analysis
λ-regular function vectors
boundary value problem with shift
