On the qualitative behaviors of almost periodic solutions of some kind of delay differential equations

This thesis consists of eight chapters. In the first chapter, we summarize works in the literature related to the subject of thesis. In the second chapter, we introduce the materials and methods used in the thesis. In the third chapter, we give some fundamental definitions and theorems which are related to the thesis. In the fourth chapter, the existence, uniqueness and exponential stability of almost periodic solutions of two variable delayed differential equations from different orders are investigated. In the fifth section, pseudo almost periodic solutions of one of the equations given in the fourth section are examined. In the sixth part, some results were obtained for the existence, uniqueness and exponential stability of some weighted pseudo almost periodic solutions of some nonlinear differential equations. In the seventh section, the results obtained in the thesis were compared with some studies in the literature. In the last part, a little more information about almost automorphic functions is given which expresses a more general state of the periodic functions. Thus, some predictions were given that such solutions of the equations we have studied can also be examined.