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

Advances in Difference Equations (Impact Factor: 0.76). 01/2010; DOI: 10.1155/2010/586312

Source: DOAJ

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**ABSTRACT:**This paper is concerned with the oscillatory behavior of a certain class of third-order nonlinear variable delay neutral functional dynamic equations, on a time scale T with , where , , . By using the generalized Riccati transformation and a lot of inequality techniques, some new oscillation criteria for the equations are established, results are presented that not only complement and improve those related results in the literature, but also improve some known results for a third-order delay dynamic equation with a neutral term. Further, the main results improve some related results for third-order neutral differential equations. Some examples are given to illustrate the importance of our results. MSC: 34K11, 34C10, 39A10.Advances in Difference Equations 2013(1). · 0.76 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper, we establish some new oscillation criteria for p-Laplacian delay dynamic equations with damping on a time scale , here , with a, p and q are positive real-valued rd-continuous functions defined on . By using the Riccati transformation technique and integral averaging technique, some new sufficient conditions, which ensure that every solution oscillates, are established. Our results in this paper not only extend and improve the known results, but also unify the results about oscillation criteria for p-Laplacian delay differential equations with damping and p-Laplacian delay difference equations with damping. MSC: 34C10, 34K11, 39A21.Advances in Difference Equations 2013(1). · 0.76 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**In this article, we revise results obtained by Han et al. Mathematics Subject Classification 2000: 34K11; 39A10.Advances in Difference Equations 2012(1). · 0.76 Impact Factor

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