Gopalsamy, K.; Grove, E. A.; Ladas, G. Neutral delay differential equations with variable delays. (English) Zbl 0717.34076 Differential equations and applications, Proc. Int. Conf., Columbus/OH (USA) 1988, Vol. I, 343-347 (1989). Summary: [For the entire collection see Zbl 0707.00014.] We study the oscillation and the asymptotic behavior of solutions of the neutral differential equation with variable delays \[ d/dt[y(t)+py(t-\tau (t))]+qy(t-\sigma (t))=0, \] where \(p\in {\mathbb{R}}\), \(q>0\), and \(\tau,\sigma \in C^ 1[[t_ 0,\infty),{\mathbb{R}}]\). Cited in 1 Document MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34K40 Neutral functional-differential equations Keywords:oscillation; asymptotic behavior Citations:Zbl 0707.00014 PDFBibTeX XML