Oscillation and non-oscillation of neutral difference equations of first order with positive and negative coefficients
2007
artykuł naukowy
angielski
- oscillation
- non-oscillation
- asymptotic behaviour
- neutral difference equation
EN In this paper necessary and sufficient conditions have been obtained so that every solution of the Neutral Delay Difference Equation (NDDE) Δ(y(n) – p(n)y(n) + q(n)G(y(n–k) – r(n)G(y(n-l) = f(n) where different symbols have there usual meaning, oscillates or tends to zero as n → ∞ for different ranges of {p(n)}. This paper generalizes some recent work. The results of this paper hold for linear, sublinear or super linear equations and also for homogeneous equations, i.e. when f(n) ≡ 0.
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