New oscillation results for second-order neutral delay dynamic equations

作者：Zhang Chenghui; Agarwal Ravi P; Bohner Martin^*; Li Tongxing

来源：Advances in Difference Equations, 2012, 227.

DOI：10.1186/1687-1847-2012-227

• oscillation
• neutral delay dynamic equation
• second-order equation
• time scale

This paper is concerned with oscillatory behavior of a certain class of second-order neutral delay dynamic equations (r(t)[x(t) + p(t)x(tau(t))](Delta))(Delta) + q(t)x(delta(t)) = 0, on a time scale T with supT = infinity, where 0 %26lt;= p(t) %26lt;= p(0) %26lt; infinity. Some new results are presented that not only complement and improve those related results in the literature, but also improve some known results for a second-order delay dynamic equation without a neutral term. Further, the main results improve some related results for second-order neutral differential equations.

• 出版日期2012
• 单位山东大学