Advances in Difference Equations volume 2009, Article number: 698463 (2009)
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: 
, 
, 
, 
where 
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.
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Li, Y., Hu, M. Three Positive Periodic Solutions for a Class of Higher-Dimensional Functional Differential Equations with Impulses on Time Scales. Adv Differ Equ 2009, 698463 (2009). https://doi.org/10.1155/2009/698463
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DOI: https://doi.org/10.1155/2009/698463