In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equationon a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of these equations on time scales, so this paper initiates the study.

No abstract

Abstract. In this paper, we consider the second-order nonlinear delay dynamic equation

No abstract

No abstract

In this paper, we consider the second-order nonlinear delay dynamic equationon a time scale T. By employing the generalized Riccati technique we will establish some new sufficient conditions which ensure that every solution oscillates or converges to zero. The obtained results improve the well-known oscillation results for dynamic equations and include as special cases the oscillation results for differential equations. Some applications and examples are considered to illustrate the main results.

No abstract

No abstract