关于特征奇异积分方程的相联方程的一个注记

对特征奇异积分方程的相联方程给出了一个简洁解法,通过引进辅助函数利用多项式分析的理论得到了相联方程有解的充要条件及解的表达式.得到的结果和经典文献是一致的.通过这个方法也得到了特征方程与其相联方程的解的理论的等价性,这一点并没有见诸文献.

A Remark on Adjoint Equations of Characteristic Singular Integral Equations

Adjoint equations of characteristic singular integral equations are solved by another method which is different from the method given in the classical literatures. The method is to introduce an assistant function and using the polynomial analysis. Their solutions and conditions for solvability are abtained, which is as the same as those in the classical literatures. However, the method used here is given up in the classical literatures for some difficulty. In addition, we can get the equivalence of the theory ofsolvablity of characteristic and its adjoint equation by using this method.