Gopalsamy, K. On an almost periodic delay-differential system with almost periodic delays. (English) Zbl 0613.34062 Math. Jap. 30, 849-856 (1985). The paper deals with a linear system of the form \[ (1)\quad \frac{dX(t)}{dt}=A(t)X(t)+\sum^{N}_{j=1}B_ j(t)X(t-\tau_ j(t)+F(t),\quad t\in R \] where \(A,B_ j\) \((j=1,2,...,N)\) are almost periodic (a.p.) \(n\times n\) matrices, F is an a.p. n-vector and \(\tau_ j\) \((j=1,2,...,N)\) are a.p. scalars. The author, using properties of a.p. functions and differential equations with a.p. coefficients and properties of matrix measures, derives sufficient conditions for the existence of a unique asymptotically stable a.p. solution of (1). Reviewer: J.Ohriska Cited in 1 Document MSC: 34K20 Stability theory of functional-differential equations 34D20 Stability of solutions to ordinary differential equations 34C25 Periodic solutions to ordinary differential equations Keywords:asymptotically stable solution PDFBibTeX XMLCite \textit{K. Gopalsamy}, Math. Japon. 30, 849--856 (1985; Zbl 0613.34062)