西南石油大学学报(自然科学版) ›› 1981, Vol. 3 ›› Issue (3): 83-96.DOI: 10.3863/j.issn.1000-2634.1981.03.008

• 数学 • 上一篇    

一类偏微分方程柯西问题的特殊解法

吴晓庆   

  1. 数七七级
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1981-08-20 发布日期:1981-08-20
  • 通讯作者: 吴晓庆

PARTICULAR SOLUTION OF CAUCHY PROBLEM-ONE OF PARTIAL DIFFERENTIAL EQUATIONS

Wu Xiao-qing   

  • Received:1900-01-01 Revised:1900-01-01 Online:1981-08-20 Published:1981-08-20
  • Contact: Wu Xiao-qing

摘要: 弦振动、热传导的偏微分方程柯西问题,一般以积分公式给出解。但随着方程维数的增高,求解公式积分重数随之增高,而且大都是无穷限积分,往往因找不出原函数而难于算出结果,解常常只是形式的给出;就是能算出结果的,运算也相当繁杂。

Abstract: A particular solution of Cauchy problem of the second order linear partial differential equation with constant coefficient is presented, and the problem contains the initial conditions (and the free term) belonging to the analytic function. And some applications of the formula to differential calculus are also discussed.