Ulam stability for first order delayed differantial equations

In this thesis, Hyers-Ulam and Hyers-Ulam-Rassias stability of delay differential equations were investigated. In the second section, basic definitions and theorems are given. Then, the definitions of Hyers-Ulam and Hyers-Ulam-Rassias stability are given and the articles of Hyers and Rassias are examined. In the fourth section of our thesis, Hyers-Ulam stability of linear differential equations is investigated. In this section, the works of Alsina and Ger's, Miura et al. Onitsuka and Shoji's, and Jung's are discussed. Also in this section, Hyers-Ulam and Hyers-Ulam-Rassias stability of non-homogeneous linear differantial equations and Bernoulli differential equations are examined in the studies of Wang et al and Qarawani's. In the fifth chapter, Hyers-Ulam and Hyers-Ulam-Rassias stability of delay linear differential equations are examined. In this section, the articles of Jung and Brzdęk, Otrocol and Ilea, Tunç and Biçer, Öğrekçi and Huang and Li were discussed.