Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 13, pp. 1-10

Title: Multiple positive solutions for a nonlocal boundary-value problem 
       with response function quiet at zero 

Author: G. L. Karakostas (Univ. of Ioannina, Greece)
        P. Ch. Tsamatos  (Univ. of Ioannina, Greece)
         
Abstract: 
 The existence of positive solutions of a nonlocal boundary value problem 
 for a second order differential equation is investigated.  By assuming  
 that the response function is quiet at zero, in a sense introduced here, 
 and it satisfies some easy conditions, existence results for a countable 
 set of positive solutions are given.  
 
Submitted January 23, 2001. Published February 19, 2001.
Math Subject Classifications: 34B18.
Key Words: Multiple positive solutions; nonlocal boundary value problems; 
           functions quiet at zero; Krasnoselskii's fixed point theorem.