Scientific Research Publishing

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52265#.VI-swcnQrzE Author(s)    Quanxin Zhang , Li Gao Affiliation(s) Department of Mathematics, Binzhou University, Shandong, China . ABSTRACT By using the generalized Riccati transformation and the integral averaging technique, the paper establishes some new oscillation criteria for the second-order nonlinear delay dynamic equations on time scales. The results in this paper unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. The Theorems in this paper are new even in the continuous and the discrete cases. ...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52265#.VI5IKsnQrzE Author(s) Quanxin Zhang , Li Gao Affiliation(s) Department of Mathematics, Binzhou University, Shandong, China . ABSTRACT By using the generalized Riccati transformation and the integral averaging technique, the paper establishes some new oscillation criteria for the second-order nonlinear delay dynamic equations on time scales. The results in this paper unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. The Theorems in this paper are new even in the continuous and the discrete cases. ...