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Content available remote Oscillation and non-oscillation criteria for a neutral delay difference equation of first order
Rath R., Rath S. K.
Fasciculi Mathematici
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2009
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Nr 42
109-120
EN
In this paper, necessary and sufficient condition are obtained so that every bounded solution of Δ(yn - yn-k) + qnG(yσ(n)) = 0 is oscillatory, under a condition weaker than ...[wzór]
2
Content available remote Oscillation and non-oscillation of neutral difference equations of first order with positive and negative coefficients
Rath R., Padhy L. N., Misra N.
Fasciculi Mathematici
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2007
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Nr 37
57-65
EN
In this paper necessary and sufficient conditions have been obtained so that every solution of the Neutral Delay Difference Equation (NODE) where different symbols have there usual meaning, oscillates or tends to zero as n → infin for different ranges of {pn}- 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 fn equiv 0.
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