Almost and Pseudo Almost Periodic Solutions in Shifts Delta(+/-) for Nonlinear Dynamic Equations on Time Scales with Applications.

In this paper, we first study two nonlinear dynamic equations on time scales. By means of the theory of dynamic equations on time scales and the properties of the shift operators δ± as well as the Schauder's fixed point theorem, some existence theorems of almost periodic solution in shifts δ± and pseudo (v-pseudo) almost periodic solution in shifts δ± of the equations are established. Secondly, based on the obtained results, we bring two ecosystems under investigation on some specific time scales to obtain more general results. [ABSTRACT FROM AUTHOR]