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

Authors

  • 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

DOI:

https://doi.org/10.5614/j.math.fund.sci.2015.47.2.3

Keywords:

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

Abstract

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.

References

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Published

2015-06-01

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