Oscillation and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments

Oscillation and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments

By employing a generalized Riccati transformation and integral averaging technique, two Philos-type criteria are obtained which ensure that every solution of a class of third-order neutral differential equations with distributed deviating arguments is either oscillatory or converges to zero. These r...

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Veröffentlicht in:Advances in difference equations 2015-08, Vol.2015 (1), p.1-14, Article 267
Hauptverfasser: Tian, Yazhou, Cai, Yuanli, Fu, Youliang, Li, Tongxing
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Asymptotic properties
Criteria
Difference and Functional Equations
Difference equations
Differential equations
Functional Analysis
Integrals
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Recent Progress in Differential and Difference Equations
Transformations
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Zusammenfassung:By employing a generalized Riccati transformation and integral averaging technique, two Philos-type criteria are obtained which ensure that every solution of a class of third-order neutral differential equations with distributed deviating arguments is either oscillatory or converges to zero. These results extend and improve related criteria reported in the literature. Two illustrative examples are provided.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-015-0604-6