数学物理学报 ›› 2000, Vol. 20 ›› Issue (3): 314-320.

• 论文 • 上一篇    下一篇

双曲型积分微分方程的一个反问题

  

  1. (山西农业大学基础部 山西太谷 030801)  
    (兰州大学数学系 甘肃兰州 730000)
  • 出版日期:2000-05-12 发布日期:2000-05-12

Inverse Problem of a Hyperbolic Integro-Differential Equation

  1. (Department of Basic, Shanxi Agricultural University, Taigu 030801)
    (Department of Mathematics, Lanzhou University, Lanzhou, Gansu 730000)
  • Online:2000-05-12 Published:2000-05-12

摘要:

该文研究了一类双曲型积分微分方程确定未知系数的反问题,利用Banach压缩映像原理证明了该问题解的局部存在唯一性和稳定性.

关键词: 积分微分方程, 反问题, Banach压缩映像原理.

Abstract:

This paper deals with an inverse problem of identifying unknown coefficient in the hyperbolic integro-differential equation, using Principle of Banach compressive image, the existence, the uniqueness and the stability of this inverse problem are demonstrated.

Key words: Integrodifferentialequation, Inverseproblem, PrincipleofBanachcompressiveimage

中图分类号: 

  • 35R30,45K05