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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
【摘要】 <正> 关于含奇线的方程,其解在奇线附近性质的研究,在许多问题的研究中都被触及到,著名的方程E(β,β): 是最早和最多被研究的。本文主要解决文[1]、[2]中提出的“至今尚未被解决的问题”。我们证明了:
【Abstract】 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,
- 【文献出处】 数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,1983年01期
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