Abstract :
In this paper, by a specially constructed cone and the fixed point index theory, we investigate the
existence of multiple positive solutions for the following singular semipositone problem:
y + λf (t , y) = 0, t∈ (0, 1),
y(0) = y(1) = 0.
The nonlinear term f (t,y) may be singular at t = 0, t = 1, and y = 0, also may be negative for some
values of t and y; and λ is a positive parameter.
2003 Elsevier Inc. All rights reserved.
Keywords :
Multiple positive solutions , Fixed point index , Singular semipositone problem , Cone
