J4 ›› 2011, Vol. 46 ›› Issue (2): 22-28.

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Positive solutions for third-order boundary value problems with integral boundary conditions

TIAN Ying-qiang, JIA Mei, LIU Shu   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2010-03-08 Online:2011-02-16 Published:2011-03-30

Abstract:

By applying the fixed point theorem of cone expansion and compression of norm type,  the existence of positive solutions of third-order ordinary differential equations with integral boundary conditions are investigated. Also, the two sufficient conditions are obtained.

Key words: positive solution; integral boundary conditions; cone; fixed-point theorem

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