数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (3): 261-271.

• 论文 • 上一篇    下一篇

INITIAL VALUE PROBLEM FOR A NONLINEAR SINGULAR INTEGRO-DIFFERENTIAL EQUATION

张领海   

  1. Institute of Applied Physics and Computational Mathematics P. O. Box 8009, Beijing 100088, China
  • 收稿日期:1990-09-17 出版日期:1994-09-25 发布日期:1994-09-25

INITIAL VALUE PROBLEM FOR A NONLINEAR SINGULAR INTEGRO-DIFFERENTIAL EQUATION

Zhang Linghai   

  1. Institute of Applied Physics and Computational Mathematics P. O. Box 8009, Beijing 100088, China
  • Received:1990-09-17 Online:1994-09-25 Published:1994-09-25

摘要: The author studies the initial value problem for a nonlinear singular integro-differential equation.By means of Leray-Schauder's fed point principle and some a priori estimates of the solutions of the mentioned problem,he demonstrates the existence and uniqueness theorems of the generalized and classical global solutions of the problem.

Abstract: The author studies the initial value problem for a nonlinear singular integro-differential equation.By means of Leray-Schauder's fed point principle and some a priori estimates of the solutions of the mentioned problem,he demonstrates the existence and uniqueness theorems of the generalized and classical global solutions of the problem.