Berezansky, Leonid; Idels, Lev Oscillation and asymptotic stability of a delay differential equation with Richard’s nonlinearity. (English) Zbl 1085.34051 Electron. J. Differ. Equ. 2005, Conf. 12, 21-27 (2005). Summary: We obtain sufficient conditions for oscillation of solutions and for asymptotical stability of the positive equilibrium of the scalar nonlinear delay differential equation \[ \frac{dN}{dt} = r(t)N(t)\Big[a-\Big(\sum_{k=1}^m b_k N(g_k(t)) \Big)^{\gamma}\Big] \] with \(g_k(t)\leq t\) . Cited in 1 Document MSC: 34K11 Oscillation theory of functional-differential equations 34K20 Stability theory of functional-differential equations 34K60 Qualitative investigation and simulation of models involving functional-differential equations Keywords:Delay differential equations; Richard’s nonlinearity; oscillation; stability PDFBibTeX XMLCite \textit{L. Berezansky} and \textit{L. Idels}, Electron. J. Differ. Equ. 2005, 21--27 (2005; Zbl 1085.34051) Full Text: EuDML EMIS