Hering, Roger H. Uniform asymptotic stability in infinite delay systems. (English) Zbl 0804.34068 J. Math. Anal. Appl. 180, No. 1, 160-173 (1993). Using the technique of Lyapunov functionals, the author derives conditions for uniform asymptotic stability of infinite delay functional differential systems of the type \(x'(t)= f(t,x_ t)\), where \(x(t)\in \mathbb{R}^ n\) and \(x_ t(s)= x(t+ s)\), \(s\leq 0\). Integro-differential equations with infinite delay are considered as illustration of the stability results obtained. Reviewer: M.M.Konstantinov (Sofia) Cited in 1 ReviewCited in 2 Documents MSC: 34K20 Stability theory of functional-differential equations 34D20 Stability of solutions to ordinary differential equations 45J05 Integro-ordinary differential equations Keywords:integro-differential equations with infinite delay; Lyapunov functionals; uniform asymptotic stability; infinite delay functional differential systems PDFBibTeX XMLCite \textit{R. H. Hering}, J. Math. Anal. Appl. 180, No. 1, 160--173 (1993; Zbl 0804.34068) Full Text: DOI