Summary: Advances in Dynamical Systems and Applications.
ISSN 0973-5321 Volume 1 Number 1 (2006), pp. 1727
c Research India Publications
Second-Order n-point Problems on Time Scales
with Changing-Sign Nonlinearity
Douglas R. Anderson
Department of Mathematics and Computer Science,
Concordia College, Moorhead, MN 56562 USA
In this study, conditions for the existence of at least one positive solution to a non-
linear second-order multipoint eigenvalue problem on time scales are discussed.
Here the nonlinearity is allowed to take on negative values. The results extend pre-
vious work on the continuous case, and are based on the GuoKrasnoselskii fixed
AMS subject classification: 34B05, 39A10.
Keywords: Time scales, positive solutions, cone, fixed point theorem.
We are interested in the second-order n-point time scale boundary value problem