J4 ›› 2012, Vol. 25 ›› Issue (5): 15-17.doi: 10.3976/j.issn.1002-4026.2012.05.004

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Existence of two positive solutions of singular semipositone boundary value problems

 HOU Wen-Ying, GUO Huan, LU Hui-Qin   

  1. School of Mathematics, Shandong Normal University, Jinan 250014, China
  • Received:2012-04-11 Online:2012-10-20 Published:2012-10-20

Abstract:

This paper addresses a class of singular semipositone boundary value problems and obtains the existence of at least two positive solutions with the fixed point theorem of cones under the conditions of semipositone of nonlinear terms and the singularity at the end points.

Key words: singularity, semipositone, positive solution, cone

CLC Number: 

  • O175.8