摘要
根据向量值全纯函数和亚纯函数的理论,由向量值Plemelj公式,讨论一类局部凸空间中具有函数核的奇异积分方程与边值问题的关系,给出向量值奇异积分方程和边值问题的解及其稳定性.
By the theory of vector-valued holomorphic and meromorphic functions, relations between a class of vector-valued singular integral equations(with the kernel of function) and boundary value problems with range in a locally convex space are discussed via the vectorvalue Plemelj formulas. The solution and its stability of vector-valued singular integral equations and boundary Value problems are presented.
出处
《系统科学与数学》
CSCD
北大核心
2000年第1期65-70,共6页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
天津市教委重点学科建设基金
关键词
奇异积分方程
边值问题
PLEMELJ公式
Ζ函数
Singular integral equations, boundary value problem, Plemelj formulas, function, locally uniform differentiability.