Even number of symmetric positive solutions for Sturm--Liouville two-point boundary value problems on time scales


K. R. Prasad, N. Sreedhar




In this paper, we are concerned with the existence of at least two symmetric positive solutions for the even order boundary value problems on time scales satisfying Sturm-Liouville two-point boundary conditions by using Avery–Henderson fixed point theorem. We also establish the existence of at least $2m$ symmetric positive solutions to the boundary value problem for an arbitrary positive integer $m$.