Mil’shtejn, G. N. Strict positive Lyapunov functionals for linear systems. (Russian) Zbl 0647.34051 Differ. Uravn. 23, No. 12, 2051-2060 (1987). The author extends his previous result [ibid. 17, No.6, 984-993 (1981; Zbl 0483.34051)]. For linear system with aftereffect he gives Lyapunov equations for strictly positive square functionals and second moments in Hilbert space. Reviewer: A.Kanevskij Cited in 1 Review MSC: 34D20 Stability of solutions to ordinary differential equations 34A30 Linear ordinary differential equations and systems, general Keywords:Lyapunov equations; strictly positive square functionals; second moments PDF BibTeX XML Cite \textit{G. N. Mil'shtejn}, Differ. Uravn. 23, No. 12, 2051--2060 (1987; Zbl 0647.34051)