 
Summary: TWIN NPOINT BOUNDARY VALUE PROBLEMS
DOUGLAS R. ANDERSON
Abstract. We establish the existence of positive solutions to twin timescale prob
lems given by the dynamic equation
u
(t) = a(t)f(u(t)), t (t1, tn) T
with boundary conditions
u(t1) =
n1
i=2
iu(ti), u
(tn) = 0, or u
(t1) = 0, u(tn) =
n1
i=2
iu(ti),
using a functionaltype cone expansioncompression fixed point theorem.
1. introduction to the boundary value problems
We will be concerned with proving the existence of positive solutions to the
twin secondorder npoint nonlinear boundary value problems given by the dynamic
