Khusainov, D. Ya.; Benditkis, D. B.; Diblik, J. Weak delay in systems with an aftereffect. (English) Zbl 1048.34104 Funct. Differ. Equ. 9, No. 3-4, 385-404 (2002). Summary: Systems of linear differential equations with constant coefficients and a constant delay which have a finite number of eigenvalues are considered. Systems in such form are called systems with a weak delay. Necessary and sufficient conditions of a weak delay are obtained. The solution of Cauchy’s task is obtained in explicit form for systems on the plane and for systems in triangular form in three-dimensional space. Cited in 8 Documents MSC: 34K06 Linear functional-differential equations 34K20 Stability theory of functional-differential equations PDFBibTeX XMLCite \textit{D. Ya. Khusainov} et al., Funct. Differ. Equ. 9, No. 3--4, 385--404 (2002; Zbl 1048.34104)