J4 ›› 2009, Vol. 47 ›› Issue (4): 705-710.

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Positive Solution of Some Boundary Value Problems for a Class ofSecond Order Singular Differential Equations with Paratmeter

 CHEN Xiang-Beng   

  1. Department of Mathematics, Jining University, Qufu 273155, Shandong Province, China
  • Received:2008-10-29 Online:2009-07-26 Published:2009-08-24
  • Contact: CHEN Xiang-Beng E-mail:chenxiangping@163.com.

Abstract:

This paper investigated a class of nonlinear secondorder singular boundary value problems with paratmeter in Banach space by using mixed monotone method, a sufficient and necessary condition for the existence of positive solution was given.
 Furthermore the solution is unique and consecutively derivable.

Key words: singular boundary value problem, positive solution, mixed monotone operator, fixed point

CLC Number: 

  • O175.8