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On the Stability Problem of Differential Equations in the Sense of Ulam

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Abstract

In this paper we consider the stability problem of a general class of differential equations in the sense of Hyers–Ulam and Hyers–Ulam–Rassias with the aid of a fixed point technique. We extend and improve the literature by dropping some assumptions of some well known and commonly cited results in this topic. Some illustrative examples are also given to visualize the improvement.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Science, Amasya University, Amasya, Turkey

    Süleyman Öğrekçi

  2. Department of Mathematics, Faculty of Arts and Science, Abant İzzet Baysal University, Bolu, Turkey

    Yasemin Başcı

  3. Department of Mathematics, Faculty of Arts and Science, Gazi University, Ankara, Turkey

    Adil Mısır

Authors
  1. Yasemin Başcı
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  2. Adil Mısır
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  3. Süleyman Öğrekçi
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Correspondence to Süleyman Öğrekçi.

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Başcı, Y., Mısır, A. & Öğrekçi, S. On the Stability Problem of Differential Equations in the Sense of Ulam. Results Math 75, 6 (2020). https://doi.org/10.1007/s00025-019-1132-6

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