Existence of countably many positive solutions for nth-order m-point boundary-value problems on time scales

Abstract

In this paper, we study the existence of positive solutions for the nonlinear nth-order with m-point singular boundary-value problem. By using the fixed point index theory and a new fixed point theorem in cones, the existence of countably many positive solutions for a nonlinear singular boundary value problem are obtained.

Keywords

• Time scales
• positive solutions
• singular boundary-value
• fixed-point index theory