Unbounded solutions of third order delayed differential equations with damping term
Miroslav Bartušek ; Mariella Cecchi ; Zuzana Došlá ; Mauro Marini
Open Mathematics, Tome 9 (2011), p. 184-195 / Harvested from The Polish Digital Mathematics Library
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Globally positive solutions for the third order differential equation with the damping term and delay, x'''+q(t)x'(t)-r(t)f(x(φ(t)))=0, are studied in the case where the corresponding second order differential equation y''+q(t)y=0 is oscillatory. Necessary and sufficient conditions for all nonoscillatory solutions of (*) to be unbounded are given. Furthermore, oscillation criteria ensuring that any solution is either oscillatory or unbounded together with its first and second derivatives are presented. The comparison of results with those in the case when (**) is nonoscillatory is given, as well.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:269643 
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     author = {Miroslav Bartu\v sek and Mariella Cecchi and Zuzana Do\v sl\'a and Mauro Marini},
     title = {Unbounded solutions of third order delayed differential equations with damping term},
     journal = {Open Mathematics},
     volume = {9},
     year = {2011},
     pages = {184-195},
     zbl = {1219.34085},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0088-2}
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Miroslav Bartušek; Mariella Cecchi; Zuzana Došlá; Mauro Marini. Unbounded solutions of third order delayed differential equations with damping term. Open Mathematics, Tome 9 (2011) pp. 184-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0088-2/

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