Higher-Order Dynamic Delay Differential Equations on Time Scales

Abstract

We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order $p$-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with $p$-Laplacian operator are obtained.