Let be a periodic time scale in shifts . We use a fixed point theorem due to Krasnosel'skiĭ to show that nonlinear delay in dynamic equations of the form , has a periodic solution in shifts . We extend and unify periodic differential, difference, -difference, and -difference equations and more by a new periodicity concept on time scales.
"Periodic Solutions in Shifts for a Nonlinear Dynamic Equation on Time Scales." Abstr. Appl. Anal. 2012 (SI09) 1 - 17, 2012. https://doi.org/10.1155/2012/707319