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Unstable neutral differential equations involving the maximum function. (English) Zbl 1096.34049
The authors obtain some criteria for the existence of nonoscillatory/oscillatory solutions of neutral differential equations involving maximum functions. The asymptotic behavior of nonoscillatory solutions is studied. Some examples illustrating the main results are given, too.

MSC:
34K11 Oscillation theory of functional-differential equations
34K40 Neutral functional-differential equations
34K25 Asymptotic theory of functional-differential equations
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