Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales

By using a multiple fixed point theorem Avery-Peterson fixed point theorem for cones, some criteria are established for the existence of three positive periodic solutions for a class of higherdimensional functional differential equations with impulses on time scales of the following form: xΔ t A t x t f t, xt , t / tj , t ∈ T, x t j x tj Ij x tj , where A t aij t n×n is a nonsingular matrix with continuous real-valued functions as its elements. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.