Existence of positive solutions for nonlinear m-point boundary value problems on time scales
1 School of Science, China University of Geosciences, Beijing 100083, P.R. China
2 Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China
Boundary Value Problems 2012, 2012:4 doi:10.1186/1687-2770-2012-4Published: 17 January 2012
In this article, we study the following m-point boundary value problem on time scales,
where is a time scale such that , ϕp(s) = |s|p-2s,p > 1,h ∈ Cld((0, T), (0, +∞)), and f ∈ C([0,+∞), (0,+∞)), . By using several well-known fixed point theorems in a cone, the existence of at least one, two, or three positive solutions are obtained. Examples are also given in this article.
AMS Subject Classification: 34B10; 34B18; 39A10.