Ivanov, Anatoli F.; Marušiak, Pavol Oscillatory properties of systems of neutral differential equations. (English) Zbl 0811.34054 Hiroshima Math. J. 24, No. 2, 423-434 (1994). The authors study oscillatory properties of solutions and existence of nonoscillatory solutions with a power growth at infinity for the following system of neutral differential equations: \[ {d^{n_ i} \over d t^{n_ i}} \biggl[ x_ i(t) - a_ i(t)x_ i \bigl( h_ i(t) \bigr) \biggr] = p_ i(t) f_ i \biggl( x_{3-i} \bigl( g_ i(t) \bigr) \biggr), \quad n_ i \in \mathbb{N}, \quad i = 1,2. \] Reviewer: W.M.Oliva (Lisboa) Cited in 3 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34K40 Neutral functional-differential equations 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations Keywords:oscillatory properties; nonoscillatory solutions; neutral differential equations PDFBibTeX XMLCite \textit{A. F. Ivanov} and \textit{P. Marušiak}, Hiroshima Math. J. 24, No. 2, 423--434 (1994; Zbl 0811.34054)