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向量值M-解析函数的奇异积分方程的稳定性(英文)

THE STABILITY OF SINGULAR INTEGRAL EQUATIONS FOR VECTOR-VALUED M-ANALYTIC FUNCTIONS
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摘要 本文解了关于由椭圆方程组 fx+ Mfy=0的正则解所定义的取值于 Banach空间的向量值 M-解析函数的具有 Cauchy核的非正规的奇异积分方程 ,此外 。 In this paper, the singular intergral equations with Cauchy kernel for vector-valued M-analytic functions, are solved with range in a Banach space, which is defined by the regular solutions of the elliptic system f x+Mf y=0. Next, its disturbance problem are presented.
作者 赖学坚
机构地区 南开大学数学系
出处 《南开大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第2期38-44,共7页 Acta Scientiarum Naturalium Universitatis Nankaiensis
基金 NNSF of China( 1 95 71 0 4 0)
关键词 M-解析函数 奇异积分方程 稳定性 M-analytic function singular integral equation stability
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参考文献6

  • 1Hill G N.Elliptic systems in the plane with first order terms and constant coeffcients[].Communications in Partial Differential Equations.1978
  • 2Lin W,Dai D.The Cauchy type integral for M-analytic functuion and its applications[].Acta Mathematica Scientia.1990
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