Let be a periodic time scale in shifts with period and is nonnegative and fixed. By using a multiple fixed point theorem in cones, some criteria are established for the existence and multiplicity of positive solutions in shifts for a class of higher-dimensional functional dynamic equations with impulses on time scales of the following form: where is a nonsingular matrix with continuous real-valued functions as its elements. Finally, numerical examples are presented to illustrate the feasibility and effectiveness of the results.
"Positive Periodic Solutions in Shifts for a Class of Higher-Dimensional Functional Dynamic Equations with Impulses on Time Scales." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/509052