hypergenic函数的边值问题
Applied Mathematics A Journal of Chinese Universities（2017）
Abstract
主要研究Clifford分析中hypergenic函数的边值问题A(y)Ψ?+f(y)+B(y)Ψ?-f(y)=G(y)L(Ψ?+f(y),Ψ?-f(y)).首先讨论hypergenic拟Cauchy型积分的相关性质;其次利用Schauder不动点原理证明了非线性边值问题解的存在性;最后利用压缩映射原理证明了线性边值问题解的存在唯一性.
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Key words
Clifford analysis,hypergenic function,nonlinear boundary value problem,linear boundary value problem
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