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On unstable neutral difference equations with “maxima”. (English) Zbl 1141.39002
The existence and asymptotic properties of nonoscillatory solutions are studied for the neutral type difference equation \(\Delta (x_n-p x_{n-\tau })=q_n \max_{s\in [n-\sigma ,n]}x_s\), \(n=0,1,2,\dots \), where \(p\in \mathbb R\), \(\tau \) is a positive integer, \(\sigma \) is a nonnegative integer, \(\{q_n\}_0^\infty \) is a nonnegative real sequence. Some oscillation results are also obtained.

39A10 Additive difference equations
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