On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales

Abstract

Abstract The oscillatory and asymptotic behavior results for a class of third-order nonlinear neutral dynamic equations on time scales are presented. The results obtained can be extended to more general third-order neutral dynamic equations of the type considered here. Examples are provided to illustrate the applicability of the results.

Keywords

• third-order
• neutral dynamic equations
• oscillation
• asymptotic behavior
• time scales