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Summary: TWIN N-POINT BOUNDARY VALUE PROBLEMS
DOUGLAS R. ANDERSON
Abstract. We establish the existence of positive solutions to twin time-scale prob-
lems given by the dynamic equation
-u
(t) = a(t)f(u(t)), t (t1, tn) T
with boundary conditions
u(t1) =
n-1
i=2
iu(ti), u
(tn) = 0, or u
(t1) = 0, u(tn) =
n-1
i=2
iu(ti),
using a functional-type cone expansion-compression fixed point theorem.
1. introduction to the boundary value problems
We will be concerned with proving the existence of positive solutions to the
twin second-order n-point nonlinear boundary value problems given by the dynamic
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