Oscillation Criteria for the Solutions of Second Order Half-linear Delay Dynamic Equations on Time Scales
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.
*Author to whom correspondence should be addressed.
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.
Keywords: Oscillation criterion, dynamic equations, time scale.