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 higher-dimensional functional differential equations with impulses on time scales of the following form: [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] where [inline-graphic not available: see fulltext] 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.