J4 ›› 2011, Vol. 46 ›› Issue (4): 37-41.

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Existence of multiple positive solutions for second-order differential equation with integral boundary value problems on the half-line

CHEN Jian-ming, LIU Xi-ping*, XIAO Yu   

  1. College of Science,University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2010-05-11 Published:2011-04-21


The existence of multiple positive solutions of Sturm-Liouville boundary value problems are studied for a class of second-order differential equation with integral boundary conditions on the half-line. By using the fixed point theorem in cone, the sufficient conditions for the boundary value problems at least three positive solutions are obtained.

Key words: half-line; integral boundary conditions; fixed point theorem; complete continuous operator; positive solutions

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