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Positive Solutions to a Class of Semilinear SemipositoneSingular Boundary Value Problems

ZHAO Zhanhui1,2, GAO Wenjie2   

  1. 1. Department of Information and Computing Science, Guangxi University of Technology, Liuzhou 545006,Guangxi Zhuang Autonomous Region, China; 2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2006-05-17 Revised:1900-01-01 Online:2007-03-26 Published:2007-03-26
  • Contact: GAO Wenjie

Abstract: The authors studied a class of semilinear semipositone singular SturmLiouville boundary value problems. A sufficient condition for the existence of a positive solution was obtained with carefully analyzing of the equation. The arguments are based upon the fixed point index theory and ArzelaAscoli theorem.

Key words: singular boundary value problem, positive solutions, semipositone

CLC Number: 

  • O175.8