Stability analysis of solutions of some first and secondorder delay differential equations

This thesis consists of eight chapters. The first chapter of the thesis is given under the title "Introduction". In Chapter 2 of this thesis is arranged under the title as "Literature Review". In this chapter, some papers and basic books, which are related to the content of the thesis and can be reached in the pertaining literature are given. In Chapter 3 of this present thesis, the materials and methods to be utilized in this thesis are given. In Chapter 4 of this thesis, some basic definitions about some first and second order delayed differential equations, some theorems about the existence and uniqueness of solutions and basic information are given. In Chapter 5 of this thesis, stability is discussed for a second-order linear differential equation with delay. In Chapter 6 of this thesis, the stability and boundedness of the solutions of some second-order delayed differential equations are discussed. In the Chapter 7 of the thesis, stability and boundedness for a neutral differential equation are discussed. Lastly, in the Chapter 8 of the thesis, the results and findings related to the thesis study are discussed.