Oscillation Criteria for the Solutions of Second Order Half-linear Delay Dynamic Equations on Time Scales

Quanxin Zhang; Shouhua Liu

doi:10.9734/BJMCS/2016/27165

Research Article Open access CC BY 4.0

Oscillation Criteria for the Solutions of Second Order Half-linear Delay Dynamic Equations on Time Scales

Quanxin Zhang, Shouhua Liu

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 27 Jun 2016

10.9734/BJMCS/2016/27165

Abstract

In this paper, we are concerned with a class of second-order half-linear delay dynamic equations on time scales. By using the generalized Riccati technique and the integral averaging technique of Grace-type, four new oscillation criteria are obtained for every solutions of the equations to be oscillatory.

Oscillation criterion dynamic equations time scale.

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Quanxin Zhang, Shouhua Liu (2016). Oscillation Criteria for the Solutions of Second Order Half-linear Delay Dynamic Equations on Time Scales. Journal of Advances in Mathematics and Computer Science , 1–10. https://doi.org/10.9734/BJMCS/2016/27165

Affiliations

Quanxin Zhang — Department of Mathematics, Binzhou University, Binzhou, Shandong 256603, People's Republic of China.
Shouhua Liu — Department of Mathematics, Binzhou University, Binzhou, Shandong 256603, People's Republic of China.

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