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Laplace Transform and Semi-Hyers–Ulam–Rassias Stability of Some Delay Differential Equations

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  • Daniela Marian

    (Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania)

Abstract

In this paper, we study semi-Hyers–Ulam–Rassias stability and generalized semi-Hyers–Ulam–Rassias stability of differential equations x ′ t + x t − 1 = f t and x ″ t + x ′ t − 1 = f t , x t = 0 if t ≤ 0 , using the Laplace transform. Our results complete those obtained by S. M. Jung and J. Brzdek for the equation x ′ t + x t − 1 = 0 .

Suggested Citation

  • Daniela Marian, 2021. "Laplace Transform and Semi-Hyers–Ulam–Rassias Stability of Some Delay Differential Equations," Mathematics, MDPI, vol. 9(24), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3260-:d:703442
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    References listed on IDEAS

    as
    1. Soon-Mo Jung & Janusz Brzdęk, 2010. "Hyers-Ulam Stability of the Delay Equation," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-10, December.
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