Bulletin of the Korean Mathematical Society (대한수학회보)

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EXISTENCE OF n POSITIVE SOLUTIONS TO SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

  • Wang, Feng (School of Mathematics and Physics Changzhou University, Department of Mathematics College of Science Hohai University) ;
  • Zhang, Fang (School of Mathematics and Physics Changzhou University)
  • Received : 2011.04.20
  • Published : 2012.07.31
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Abstract

The existence of $n$ positive solutions is established for second order multi-point boundary value problem at resonance where $n$ is an arbitrary natural number. The proof is based on a theory of fixed point index for A-proper semilinear operators defined on cones due to Cremins.

Keywords

References

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