Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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POSITIVE SOLUTIONS OF THE SECOND-ORDER SYSTEM OF DIFFERENTIAL EQUATIONS IN BANACH SPACES

  • Cao, Jianxin (Department of mathematics, Central South University) ;
  • Chen, Haibo (Department of mathematics, Central South University) ;
  • Deng, Jin (Faculty of Science, Hunan Institute of Engineering)
  • Received : 2010.04.21
  • Accepted : 2010.06.05
  • Published : 2010.09.30
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Abstract

In this paper, a second-order system of multi-point boundary value problems in Banach spaces is investigated. Based on a specially constructed cone and the fixed point theorem of strict-set-contraction operators, the criterion of the existence and multiplicity of positive solutions are established. And two examples demonstrating the theoretic results are given.

Keywords

References

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