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Displaying similar documents to “Positive solutions and oscillation of higher order neutral difference equations”

On oscillation and nonoscillation properties of Emden-Fowler difference equations

Mariella Cecchi, Zuzana Došlá, Mauro Marini (2009)

Open Mathematics

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A characterization of oscillation and nonoscillation of the Emden-Fowler difference equation Δ ( a n Δ x n α s g n Δ x n ) + b n x n + 1 β s g n x n + 1 = 0 is given, jointly with some asymptotic properties. The problem of the coexistence of all possible types of nonoscillatory solutions is also considered and a comparison with recent analogous results, stated in the half-linear case, is made.

Oscillation of nonlinear three-dimensional difference systems with delays

Ewa Schmeidel (2010)

Mathematica Bohemica

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In this paper the three-dimensional nonlinear difference system Δ x n = a n f ( y n - l ) , Δ y n = b n g ( z n - m ) , Δ z n = δ c n h ( x n - k ) , is investigated. Sufficient conditions under which the system is oscillatory or almost oscillatory are presented.