Positive Solutions of Higher-order Three-point Dynamic Delay Differential Equations on Time Scales

摘要

Let T be a time scale. Let T be a time scale. We study the existence of positive solutions for the nonlinear three-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.