J4 ›› 2009, Vol. 44 ›› Issue (10): 36-38.

• Articles • Previous Articles     Next Articles

A class of singular sublinear Sturm-Liouville boundary value problems

 TAO Qiang-Liu   

  1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, Jiangsu, China
  • Received:2009-03-10 Online:2009-10-16 Published:2009-12-07

Abstract:

The positive solution is studied for a class of sublinear Sturm-Liouville boundary value problems, where the nonlinear term f(t,u) is allowed to be singular at t=0, t=1and u=0.The main tools are the Green function of the related linear problem and the corresponding Hammerstein integral equation. By nsidering the growth features of the nonlinear term at u=0 and u=+∞,and applying the Guo-Krasnosel'skii fixed point theorem on a cone, a new existence theorem is proved

Key words: singular ordinary differential equation; Sturm-Liouville boundary value problem; positive solution; existence theorem

CLC Number: 

  • O175.8
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