Study of Weighted Pseudo Compact Almost Automorphic Solutions and its Stability Analysis

Abstract

In this thesis, we are looking a differential equation with time-varying delays and prove the uniqueness and existence of weighted pseudo compact almost automorphicsolution of the differential equation with certain assumptions and then we have done its stability analysis. In proving the result, we use fixed point theorem and some of the properties of a weighted pseudo-compact almost automorphic function. We use some results and obtain the result for the existence and uniqueness of weighted pseudo-compact almost automorphic solutions for the Nicholson model. In this thesis, we have also mentioned weighted pseudo-compact almost automorphic functions’s properties. We have also done it’s stability analysis.