Measure ω , c -Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand

Abstract

The primary aim of this work is to introduce a new class of functions called μ - ω , c -pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those μ - ω , c -pseudo-almost periodic functions including two new composition results which play a crucial role for the existence of some μ - ω , c -pseudo-almost periodic solutions of certain semilinear differential equations and partial differential equations. We also investigate the existence and uniqueness of the μ - ω , c -pseudo-almost periodic solutions for some models of Lasota-Wazewska equation with measure ω , c -pseudo-almost periodic coefficient and mixed delays.