Yoneyama, Toshiaki The 3/2 stability theorem for one-dimensional delay-differential equations with unbounded delay. (English) Zbl 0755.34074 J. Math. Anal. Appl. 165, No. 1, 133-143 (1992). Conditions for uniform stability and uniform asymptotic stability are derived for equations of the type \(x'(t)=-a(t)x(g(t))\). The main assumptions are that \(g(t)\to\infty\) as \(t\to\infty\) and \(\sup_{t\geq 0}A(t)\leq 3/2\), \(\inf_{t\geq 0}A(t)>0\), where \(A(t)=\int^ t_{g(t)}a(s)ds\). Reviewer: M.M.Konstantinov (Sofia) Cited in 1 ReviewCited in 46 Documents MSC: 34K20 Stability theory of functional-differential equations 34D20 Stability of solutions to ordinary differential equations Keywords:uniform asymptotic stability PDFBibTeX XMLCite \textit{T. Yoneyama}, J. Math. Anal. Appl. 165, No. 1, 133--143 (1992; Zbl 0755.34074) Full Text: DOI References: [1] T. Hara, T. Yoneyama, and R. MiyazakiFunkcial. Ekvac.; T. Hara, T. Yoneyama, and R. MiyazakiFunkcial. Ekvac. · Zbl 0770.34051 [2] Yoneyama, T., On the \(32\) stability theorem for one-dimensional delay-differential equations, J. Math. Anal. Appl., 125, 161-173 (1987) · Zbl 0655.34062 [3] Yorke, J. A., Asymptotic stability for one dimensional differential-delay equations, J. Differential Equations, 7, 189-202 (1970) · Zbl 0184.12401 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.