Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (1): 55-62.

• Articles • Previous Articles     Next Articles

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.

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

CLC Number: 

  • 45N05
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