In this paper, we consider the existence of multiple positive solutions to nonlinear m-point boundary value problems with p-Lpalace operator on time scales. By Legget-Williams fixed point theorem, we get the existence of three positive solutions.
Using the fixed point index in cones, we study the existence of one and two positive solutions to singular second order Neumann boundary value problems under some conditions, which concerns the first eigenvalue of the relevant linear problem. Our results improve and extend some known ones in the previous literature.
Xiangping Chen, Rengui Li (Dept. of Math., Jining University, Qufu 273155, Shandong)
