Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation


  • Cemil Tunç Department of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080, Van
  • Emel Biçer Department of Mathematics, Faculty of Arts and Sciences, Bingöl University 12000, Bingöl




first order, fixed point, functional differential equation, generalized metric, Hyers-Ulam-Rassias stability


In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the form

y"(t) = F(t, y(t), y(t ? )).

Our results improve some related results in the literature.


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