Article

# Oscillation Behavior of Third-Order Neutral Emden-Fowler Delay Dynamic Equations on Time Scales

Advances in Difference Equations 01/2010; DOI: 10.1155/2010/586312

Source: DOAJ

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**ABSTRACT:**We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccati transformation, inequality, and integration average technique, some new oscillatory criteria for the equations are established. As for applications, oscillation for two certain fractional differential equations with damping term is investigated by the use of the presented results.The Scientific World Journal 01/2013; 2013:685621. · 1.73 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We establish some new oscillation criteria for the second-order neutral delay dynamic equations of Emden-Fowler type, ${[a(t)(x(t)+r(t)x{(\tau (t)))}^{\Delta}]}^{\Delta}+p(t){x}^{\gamma}(\delta (t))=0$ , on a time scale unbounded above. Here $\gamma >0$ is a quotient of odd positive integers with a and p being real-valued positive functions defined on $\mathbb{T}$ . Our results in this paper not only extend and improve the results in the literature but also correct an error in one of the references.Abstract and Applied Analysis 01/2011; · 1.10 Impact Factor -
##### Article: Asymptotic properties of third-order half-linear neutral dynamic equations with mixed arguments

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**ABSTRACT:**This work is concerned with the asymptotic behavior of a class of third-order half-linear neutral dynamic equations with mixed arguments on a time scale. Some new criteria and an example are presented.Journal of Applied Mathematics and Computing 02/2014;

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