Resumen de Oscillation Properties of Solutions of Second Order Neutral Dynamic Equations of Non-canonical Type on Time Scales

Said R. Grace, G. N. Chhatria, Syed Abbas

• In this paper, we study the oscillation for a class of second order sublinear and superlinear neutral dynamic equations on time scales. The tools used to prove results are the Krasnoselskii’s fixed point theorem and several inequalities. For results, the restriction that the solution be unbounded to make it oscillatory is required. But it is not required for the equation to be almost oscillatory. At the end, we give examples for illustrations. We point out that the results are new even for the cases T=R and T=Z.