Abstract: Letbe a time
scale withWe consider
the following nonlinear triple-point problems on time scales:
where
a, b, g, d, b, are given constants satisfying some
suitable conditions, and Some sufficient conditions for the
existence of at least one positive solution for the boundary-value problem on
time scales is established. Our results extend some of the existence literatures
on three-point boundary-value problems on time scales. Our proof is based on a
fixed-point theorem in cones.
Keywords and phrases: triple-point problems, positive solution, fixed-point theorem, cones, time scales.
