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Oscillatory properties of systems of neutral differential equations. (English) Zbl 0811.34054

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)

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
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