J4 ›› 2010, Vol. 45 ›› Issue (8): 76-80.

• Articles • Previous Articles     Next Articles

Existence of positive solutions for fourth order singular differential equations with Sturm-Liouville boundary conditions

WANG Xin-hua, ZHANG Xing-qiu   

  1. College of Mathematics Sciences, Liaocheng University, Liaocheng 252059, Shandong, China
  • Received:2009-12-03 Online:2010-08-16 Published:2010-09-16

Abstract:

 A class of fourth order singular differential equations with Sturm-Liouville boundary conditions is investigated by the extremum principle and the upper and lower solution method. Nonlinear term f(t,u) can be singular at u=0 and t=0,1.

Key words: fourth order differential equation; singular boundary value problems; upper and lower solution; positive solutions

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