 
Summary: Advances in Dynamical Systems and Applications.
ISSN 09735321 Volume 1 Number 1 (2006), pp. 1727
c Research India Publications
http://www.ripublication.com/adsa.htm
SecondOrder npoint Problems on Time Scales
with ChangingSign Nonlinearity
Douglas R. Anderson
Department of Mathematics and Computer Science,
Concordia College, Moorhead, MN 56562 USA
andersod@cord.edu
Abstract
In this study, conditions for the existence of at least one positive solution to a non
linear secondorder 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
point theorem.
AMS subject classification: 34B05, 39A10.
Keywords: Time scales, positive solutions, cone, fixed point theorem.
1. Introduction
We are interested in the secondorder npoint time scale boundary value problem
