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

Daniela Marian
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Daniela Marian: Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania

Mathematics, 2021, vol. 9, issue 24, 1-15

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 .

Keywords: semi-Hyers–Ulam–Rassias stability; delay differential equations; Laplace transform (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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