西南石油大学学报(自然科学版) ›› 1984, Vol. 6 ›› Issue (1): 61-68.DOI: 10.3863/j.issn.1000-2634.1984.01.006

• 论文 • 上一篇    下一篇

关于方程(/(t)-r)~LU=□U+f(z,t)Cauchy问题的解析解

吴小庆 江茂泽   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1984-02-20 发布日期:1984-02-20

ON THE ANALYTIC SOLUTION OF CAUCHY S PROBLEM OF EQUATION (a/(at)-r)~L U=□U+f(z,t)

Wu Xiaoqing Jiang Maoze   

  • Received:1900-01-01 Revised:1900-01-01 Online:1984-02-20 Published:1984-02-20

摘要: 近年来陈银通等在[1]、[2]中引入所谓无穷阶方阵B∞×∞的概念,利用幂级数法得出了几类高阶偏微分方程Cauchy问题解析解的表达式。但所用方法较烦杂,且[2]中结果也不太简洁。

Abstract: We have given the analytic solution of Cauchy s problem of equation (a/at-r)~I U=□U+f(z,t)in this paper. The corresponding results in literature references[1] [2] [4] are nothing but particular examples in it.