二阶奇异积分方程的直接解法

DIRECT METHOD FOR SOLVING A CLASS OF SINGULAR INTEGRAL EQUATIONS OF ORDER TWO

本文,我们讨论如下一类奇异积分方程的直接解法,这里假定,L为正向的Liapunouff封闭曲线,其内域为S;α_1(z),α_(?)(z)解析于S中,Holder连续于S上,K(z_1,z_2)在S×S上全纯。为简化计算,还假定α_1(z)-K(z,z)在S中无零点,α_1(z)+K(z,z)仅有单零点z_1,…,z_μ,且zj∈S(j=,…,μ)、

In this paper, we have discussed the direct methed of solving the following equation: where α_1(t),α_o(t),K(t,τ) are assumed to have some analytic properties.The Closed form of solution is obtained in certain conditions.