西南石油大学学报(自然科学版) ›› 1986, Vol. 8 ›› Issue (2): 50-64.DOI: 10.3863/j.issn.1000-2634.1986.02.06

• 论文 • 上一篇    下一篇

利用算子级数法求解m维长方体的某类初边值问题

吴小庆   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1986-04-20 发布日期:1986-04-20

USING THE OPERATOR SERIES FORMULA TO SOLVE THE MIXED PROBLEM

Wu Xiao-qing   

  • Received:1900-01-01 Revised:1900-01-01 Online:1986-04-20 Published:1986-04-20

摘要:

在〔1〕中用较为简捷的方法得到了方程(δ/δt-γ)L∪=□∪的Cauchy问题求解析解的算子级数公式、本文利用算子级数公式,引入求解算子∧(p)t,并揭示了求解算子∧(p)t的特征值、特征函数与方程中算子口的特征值、特征函数之间的密切关系,由此较为容易地得到初边值问题Ⅰ的求解方法,即算子级数法。

Abstract:

In references (1) we have discussed Cauchy problem of the equation, and given an operator series formula for solution of the Cauchy problem.The present paper makes use of the operator series formula to solve the mixed problem of the equation on m-dimensional rectangular parallelepiped.