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Acta Mathematicae Applicatae Sinica

, Volume 15, Issue 2, pp 153–162 | Cite as

Existence of non-trivial solution for superlinear system of integral equations and its applications

  • Zhang Zhitao
Article

Abstract

In this paper, we use cone theory and topological degree theory to study superlinear system of integral equations, and obtain existence theorems for non-trivial solutions; moreover, we apply the results to two-point boundary problems of ordinary differential system of equations.

Key words

Cone topological degree theory completely continuous operators superlinear system of equations non-trivial solution 

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Copyright information

© Science Press 1999

Authors and Affiliations

  • Zhang Zhitao
    • 1
  1. 1.Institute of Mathematicsthe Chinese Academy of SciencesBeijingChina

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