New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales

New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales

We establish four new oscillation criteria of Grace-type for the second-order nonlinear dynamic equations with damping. These criteria extend known criteria for corresponding dynamic equations. Our results are new even in the continuous and the discrete cases.

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.140-144-713
Hauptverfasser: Liu, Shouhua, Zhang, Quanxin
Format: Artikel
Sprache:eng
Schlagworte:
Continuity
Damping
Differential equations, Nonlinear
Mathematical functions
Mathematical research
Theorems
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Beschreibung
Zusammenfassung:We establish four new oscillation criteria of Grace-type for the second-order nonlinear dynamic equations with damping. These criteria extend known criteria for corresponding dynamic equations. Our results are new even in the continuous and the discrete cases.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/475428