Burton, T. A. Fixed points and stability of a nonconvolution equation. (English) Zbl 1050.34110 Proc. Am. Math. Soc. 132, No. 12, 3679-3687 (2004). This paper deals with the asymptotic stability of the zero solution of the equation \[ x'(t)=-\int_{t-r}^{t}a(t,s)g(x(s))\,ds, \]where \(r>0\), and \(a:[0,\infty)\times [-r,\infty)\to \mathbb R\) is continuous. Reviewer: Mouffak Benchohra (Sidi Bel Abbes) Cited in 5 ReviewsCited in 48 Documents MSC: 34K20 Stability theory of functional-differential equations 47H10 Fixed-point theorems 45J05 Integro-ordinary differential equations Keywords:delay equations; fixed-points; stability PDFBibTeX XMLCite \textit{T. A. Burton}, Proc. Am. Math. Soc. 132, No. 12, 3679--3687 (2004; Zbl 1050.34110) Full Text: DOI