Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales

This paper is concerned with second-order nonlinear damped dynamic equations on time scales of the following more general form ( p ( t ) k 1 ( x ( t ) , x Δ ( t ) ) ) Δ + r ( t ) k 2 ( x ( t ) , x Δ ( t ) ) x Δ ( t ) + f ( t , x ( σ ( t ) ) ) = 0 . New oscillation results are given to handle some ca...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.607-613-471
Hauptverfasser: Qiu, Yang-Cong, Wang, Qi-Ru
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is concerned with second-order nonlinear damped dynamic equations on time scales of the following more general form ( p ( t ) k 1 ( x ( t ) , x Δ ( t ) ) ) Δ + r ( t ) k 2 ( x ( t ) , x Δ ( t ) ) x Δ ( t ) + f ( t , x ( σ ( t ) ) ) = 0 . New oscillation results are given to handle some cases not covered by known criteria. An illustrative example is also presented.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/351256