A characterization of oscillation and nonoscillation of the Emden-Fowler difference equation Δ(a{n}|Δx{n}|^{α}sgnΔx{n})+b{n}|x{n+1}|^{β} sgn 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.
On oscillation and nonoscillation properties of Emden-Fowler difference equations / M. Cecchi; Z. Dosla; M. Marini. - In: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 1644-3616. - STAMPA. - 7:(2009), pp. 322-334. [10.2478/s11533-009-0014-7]
On oscillation and nonoscillation properties of Emden-Fowler difference equations
CECCHI, MARIELLA;MARINI, MAURO
2009
Abstract
A characterization of oscillation and nonoscillation of the Emden-Fowler difference equation Δ(a{n}|Δx{n}|^{α}sgnΔx{n})+b{n}|x{n+1}|^{β} sgn 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.File | Dimensione | Formato | |
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