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

**Daniela Marian**

Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania; daniela.marian@math.utcluj.ro

**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

**MSC:** 44A10; 34K20
