Título:  Periodicity on Time Scales

Palestrante:  Martin Bohner - Missouri University of Science and Technology

Abstract.:      

We introduce a novel definition of periodicity on arbitrary time scales, dependent on a strictly increasing and differentiable function ν. After providing crucial properties of ν-periodic functions, such as the translation invariance of integrals of periodic functions, we apply the concept of ν-periodicity to linear dynamic equations. We provide necessary and sufficient conditions for a linear dynamic equation to have a ν- periodic solution and discuss its uniqueness.