数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (1): 1-8.

• 论文 •    下一篇

THE SERIES SOLUTION OF THE GEL'FAND-LEVITAN-MARCHENKO EQUATION

徐邦清1, 邵常贵2   

  1. 1. Institute of Atomic Energy, Academia Sinica;
    2. Wuhan Engineering College
  • 收稿日期:1984-01-12 出版日期:1987-03-25 发布日期:1987-03-25

THE SERIES SOLUTION OF THE GEL'FAND-LEVITAN-MARCHENKO EQUATION

Xu Bangqing1, Shao Changgui2   

  1. 1. Institute of Atomic Energy, Academia Sinica;
    2. Wuhan Engineering College
  • Received:1984-01-12 Online:1987-03-25 Published:1987-03-25

摘要: The convergence of the Neumann series solution of the Gel'fand-Levitan-Marchenko equation in L[0, ∞), L1[0, ∞) and L2[0, ∞) is proved and the explicit expression of the series solution is given.

Abstract: The convergence of the Neumann series solution of the Gel'fand-Levitan-Marchenko equation in L[0, ∞), L1[0, ∞) and L2[0, ∞) is proved and the explicit expression of the series solution is given.