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Oscillation of forced nonlinear neutral delay difference equations of first order

N. Parhi, Arun Kumar Tripathy (2003)

Czechoslovak Mathematical Journal

Necessary and sufficient conditions are obtained for every solution of Δ ( y n + p n y n - m ) ± q n G ( y n - k ) = f n to oscillate or tend to zero as n → ∞ , where p n , q n and f n are sequences of real numbers such that q n ≥ 0 . Different ranges for p n are considered.

Oscillatory and nonoscillatory behaviour of solutions of difference equations of the third order

N. Parhi, Anita Panda (2008)

Mathematica Bohemica

In this paper, sufficient conditions are obtained for oscillation of all solutions of third order difference equations of the form y n + 3 + r n y n + 2 + q n y n + 1 + p n y n = 0 , n ≥ 0 . These results are generalization of the results concerning difference equations with constant coefficients y n + 3 + r y n + 2 + q y n + 1 + p y n = 0 , n ≥ 0 . Oscillation, nonoscillation and disconjugacy of a certain class of linear third order difference equations are discussed with help of a class of linear second order difference equations.

Currently displaying 261 – 280 of 395