摘要
研究了Clifford分析中Isotonic函数向量的一类带位移、带共轭的线性边值问题.通过设计积分算子将边值问题转化为积分方程,借助积分方程理论和不动点原理证明了问题解的存在性,并给出解的积分表达式.
This paper discusses a class of linear boundary value problem with conjugate value and a kind of shift for isotonic functional vector in Clifford analysis.Firstly,the author gives some integral operators and tansform the problem into an integral equation problem.Applying the integral equation method and Schauder fixed-point theorem,the author proves the existence of the solution for the problem,and gives the integral representation of solution.
出处
《吉首大学学报(自然科学版)》
CAS
2013年第3期7-11,共5页
Journal of Jishou University(Natural Sciences Edition)
基金
教育部科学技术研究重点资助项目(212147)