不含参数λ的非线性奇异积分方程

THE NON一LINEAR SINGULAR INTEGRAL EQUATIONS WITHOUT PARAMETER λ

非线性奇异积分方程通常引入参数λ为使非线性算子满足Ｓｃｈａｕｄｅｒ不动点定理条件，要求｜λ｜充分小．本文取消了对λ的限制，在广义Ｈｌｄｅｒ空间中研究方程的可解性，并通过适当的变换，进而给出了更一般方程的可解性。

To made the non- linear operators staisfying the condition of Schauder′s fixedpoint theorem,was usally required to be stifficintly small when the non- linear singularintegral equations with parameter λwere dealed with.This paper concells the restrictionfor λ and studies the solvability for some equations in the generalized Hlder space。Through suitable transformations,the solvability of the non- linear Singular integral egua-tions for fmore general equations is given。