Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR SECOND-ORDER STURM-LIOUVILLE AND MULTI-POINT PROBLEMS ON TIME SCALES

  • Sang, Yan-Bin (Department of Mathematics North University of China) ;
  • Wei, Zhongli (School of Mathematics Shandong University) ;
  • Dong, Wei (Hebei University of Engineering Handan)
  • Received : 2010.04.01
  • Published : 2011.09.30
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Abstract

In this paper, a class of second-order boundary value problems with Sturm-Liouville boundary conditions or multi-point conditions is considered. Some existence and uniqueness theorems of positive solutions of the problem are obtained by using monotone iterative technique, the iterative sequences yielding approximate solutions are also given. The results are illustrated with an example.

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References

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