数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 55-62.

• 论文 • 上一篇    下一篇

EIGENVECTORS OF SYSTEM OF HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES AND APPLICATIONS

 娄本东   

  1. Department of Mathematics, Shandong University, Jinan 250100, China
  • 出版日期:2000-01-07 发布日期:2000-01-07
  • 基金资助:

    the project supported by the National Natural Science Foundation of China and the State Education Commission Doctoral Foundation of China.

EIGENVECTORS OF SYSTEM OF HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES AND APPLICATIONS

 LOU Ben-Dong   

  1. Department of Mathematics, Shandong University, Jinan 250100, China
  • Online:2000-01-07 Published:2000-01-07
  • Supported by:

    the project supported by the National Natural Science Foundation of China and the State Education Commission Doctoral Foundation of China.

摘要:

In this paper, the author investigates the existence of eigenvectors of system of Hammerstein integral equations in Banach spaces by means of fixed point index theory. He also gives some applications to a system of Sturm-Liouville problems of ordinary differential equations.

关键词: Eigenvectors, Hammerstein integral equations, fixed point index

Abstract:

In this paper, the author investigates the existence of eigenvectors of system of Hammerstein integral equations in Banach spaces by means of fixed point index theory. He also gives some applications to a system of Sturm-Liouville problems of ordinary differential equations.

Key words: Eigenvectors, Hammerstein integral equations, fixed point index

中图分类号: 

  • 45N05