Ulam stability for a delay differential equation

70 citations recorded by the source corpus.

We study the Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability for a delay differential equation. Some examples are given.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric (2018, unknown): “Moreover, suppose that f :1⁄2a; b ×C×C×C→C is a continuous function satisfying the Lipschitz condition f ðx; uðxÞ; uðαðxÞÞ; gðxÞÞ− f ðx; vðxÞ; vðαðxÞÞ; hðxÞÞ j j≤M juðxÞ−vðxÞj þ juðαðxÞÞ−vðαðxÞÞj þ jgðxÞ−hðxÞj ð Þ (32) with M>0 and the kernel k:1⁄2a; b ×1⁄2a; b ×C×C→C is a continuous kernel function”
Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations (2014, methodology): “Motivated by [10,11,18,21], we will investigate existence, uniqueness and Ulam–Hyers– Mittag-Leffler stability of the following fractional-order differential equation with modification of the argument c D t x(t) = f (t, x(t), x(g(t))), t ∈ I ⊂ R, α ∈ (0, 1).”