On oscillation and nonoscillation properties of Emden-Fowler difference equations

Mariella Cecchi; Zuzana Došlá; Mauro Marini

Mariella Cecchi ; Zuzana Došlá ; Mauro Marini

Open Mathematics, Tome 7 (2009), p. 322-334 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 2009-01-01

Zbl 1180.39012

EUDML-ID : urn:eudml:doc:269183

@article{bwmeta1.element.doi-10_2478_s11533-009-0014-7,
     author = {Mariella Cecchi and Zuzana Do\v sl\'a and Mauro Marini},
     title = {On oscillation and nonoscillation properties of Emden-Fowler difference equations},
     journal = {Open Mathematics},
     volume = {7},
     year = {2009},
     pages = {322-334},
     zbl = {1180.39012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0014-7}
}

Mariella Cecchi; Zuzana Došlá; Mauro Marini. On oscillation and nonoscillation properties of Emden-Fowler difference equations. Open Mathematics, Tome 7 (2009) pp. 322-334. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0014-7/

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