关于Euler-Poisson-Darboux方程在奇线附近的正规解

On Regular Solutions of E-P-D Equation in Neighborhood of Singular Line

中文摘要:

      

英文摘要:

      In this paper, We have proved that the regular solutions of equations E(β,β') (0<β、β'<1,β+β'=1) are always expressed in general form in neighborhood of singular line (with exception of points on singular line). Our result implies thetheorem that had been proved for β=β'=1/2. We obtain Th. 1. and Th. 2,